900 (number)
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Cardinal | nine hundred | |||
Ordinal |
900th (nine hundredth) | |||
Factorization | 22× 32× 52 | |||
Divisors | 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900 | |||
Roman numeral | CM | |||
Unicode symbol(s) | CM, cm | |||
Binary | 11100001002 | |||
Ternary | 10201003 | |||
Quaternary | 320104 | |||
Quinary | 121005 | |||
Senary | 41006 | |||
Octal | 16048 | |||
Duodecimal | 63012 | |||
Hexadecimal | 38416 | |||
Vigesimal | 25020 | |||
Base 36 | P036 |
900 (nine hundred) is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 integers. In base 10 it is a Harshad number.
Nine hundred is also:
- A telephone area code for "premium" phone calls in the North American Numbering Plan
- In Greek number symbols, the sign Sampi ("ϡ", literally "like a Pi")
- A skateboarding trick in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900)
901 = 17 × 53, happy number
902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number
903 = 3 × 7 × 43, sphenic number, triangular number,[1] Schröder–Hipparchus number, Mertens function (903) returns 0
904 = 23 × 113 or 113 × 8, Mertens function(904) returns 0
905 = 5 × 181, sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149)
- "The 905" is a common nickname for the suburban portions of the Greater Toronto Area in Canada, a region whose telephones used area code 905 before overlay plans added two more area codes.
906 = 2 × 3 × 151, sphenic number, Mertens function(906) returns 0
907 prime number
908 = 22 × 227, nontotient
909 = 32 × 101
910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number, happy number
911 = prime number, has its own page
912 = 24 × 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), Harshad number.
- In the Stonecutters episode of The Simpsons, Lenny told Homer the real emergency number is 912.
913 = 11 × 83, Smith number,[2] Mertens function(913) returns 0.
- After escaping the Jedi purge, Obi-Wan Kenobi transmitted a 913 emergency transmission.
914 = 2 × 457, nontotient
915 = 3 × 5 × 61, sphenic number, Smith number,[2] Mertens function(915) returns 0, Harshad number
916 = 22 × 229, Mertens function(916) returns 0, nontotient, member of the Mian–Chowla sequence[3]
917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193)
918 = 2 × 33 × 17, Harshad number
919 prime number, cuban prime,[4] Chen prime, palindromic prime, centered hexagonal number,[5] happy number, Mertens function(919) returns 0
920 = 23 × 5 × 23, Mertens function(920) returns 0
921 = 3 × 307
922 = 2 × 461, nontotient, Smith number[2]
923 = 13 × 71
924 = 22 × 3 × 7 × 11, sum of a twin prime (461 + 463), central binomial coefficient [6]
925 = 52 × 37, pentagonal number,[7] centered square number[8]
- The millesimal fineness number for Sterling silver
926 = 2 × 463, sum of six consecutive primes (139 + 149 + 151 + 157 + 163 + 167), nontotient
927 = 32 × 103, tribonacci number[9]
928 = 25 × 29, sum of four consecutive primes (227 + 229 + 233 + 239), sum of eight consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131 + 137), happy number
929 prime number, Proth prime,[10] palindromic prime, sum of nine consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), Eisenstein prime with no imaginary part
930 = 2 × 3 × 5 × 31, pronic number[11]
931 = 72 × 19; sum of three consecutive primes (307 + 311 + 313); double repdigit, 11130 and 77711
932 = 22 × 233
933 = 3 × 311
934 = 2 × 467, nontotient
935 = 5 × 11 × 17, sphenic number, Lucas–Carmichael number,[12] Harshad number
936 = 23 × 32 × 13, pentagonal pyramidal number,[13] Harshad number
937 prime number, Chen prime, star number,[14] happy number
938 = 2 × 7 × 67, sphenic number, nontotient
939 = 3 × 313
940 = 22 × 5 × 47, totient sum for first 55 integers
941 prime number, sum of three consecutive primes (311 + 313 + 317), sum of five consecutive primes (179 + 181 + 191 + 193 + 197), Chen prime, Eisenstein prime with no imaginary part
942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient
943 = 23 × 41
944 = 24 × 59, nontotient
945 = 33 × 5 × 7, double factorial of 9,[15] smallest odd abundant number (divisors less than itself add up to 975);[16] smallest odd primitive abundant number;[17] smallest odd primitive semiperfect number;[18] Leyland number[19]
946 = 2 × 11 × 43, sphenic number, triangular number,[1] hexagonal number,[20] happy number
947 prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151), balanced prime,[21] Chen prime, Eisenstein prime with no imaginary part
948 = 22 × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition
949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition
950 = 2 × 52 × 19, nontotient
951 = 3 × 317, centered pentagonal number[22]
- one of two ISBN Group Identifiers for books published in Finland
952 = 23 × 7 × 17
- 952 is also 9-5-2, a card game similar to bridge.
- one of two ISBN Group Identifiers for books published in Finland
953 prime number, Sophie Germain prime,[23] Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number[24]
- ISBN Group Identifier for books published in Croatia
954 = 2 × 32 × 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number
- ISBN Group Identifier for books published in Bulgaria. Also one of the Area Codes in the South Florida Area
955 = 5 × 191
- ISBN Group Identifier for books published in Sri Lanka
956 = 22 × 239
- ISBN Group Identifier for books published in Chile
957 = 3 × 11 × 29, sphenic number
958 = 2 × 479, nontotient, Smith number[2]
- ISBN Group Identifier for books published in Colombia
- The millesimal fineness number for Britannia silver
959 = 7 × 137, Carol number[25]
- ISBN Group Identifier for books published in Cuba
960 = 26 × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number
- country calling code for Maldives, ISBN Group Identifier for books published in Greece
- The number of possible starting positions for the chess variant Chess960
- Chess960 also got its name from the number itself
961 = 312, the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number[26]
- country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia
962 = 2 × 13 × 37, sphenic number, nontotient
- country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong
963 = 32 × 107, sum of the first twenty-four primes
- country calling code for Syria, ISBN Group Identifier for books published in Hungary
964 = 22 × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers
- country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number
965 = 5 × 193
- country calling code for Kuwait, ISBN Group Identifier for books published in Israel
966 = 2 × 3 × 7 × 23, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number
- country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine
967 prime number
- country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia
968 = 23 × 112, nontotient
- country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico
969 = 3 × 17 × 19, sphenic number, nonagonal number,[27] tetrahedral number[28]
- ISBN Group Identifier for books published in Pakistan, age of Methuselah according to Old Testament, anti-Muslim movement in Myanmar
970 = 2 × 5 × 97, sphenic number
- country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico
971 prime number, Chen prime, Eisenstein prime with no imaginary part
- country calling code for United Arab Emirates, ISBN Group Identifier for books published in the Philippines
972 = 22 × 35, Harshad number
- country calling code for Israel, one of two ISBN Group Identifiers for books published in Portugal
973 = 7 × 139, happy number
- country calling code for Bahrain, ISBN Group Identifier for books published in Romania,
974 = 2 × 487, nontotient
- country calling code for Qatar, ISBN Group Identifier for books published in Thailand
975 = 3 × 52 × 13
- country calling code for Bhutan, ISBN Group Identifier for books published in Turkey
976 = 24 × 61, decagonal number[29]
- country calling code for Mongolia, ISBN Group Identifier for books published in Antigua, Bahamas, Barbados, Belize, Cayman Islands, Dominica, Grenada, Guyana, Jamaica, Montserrat, Saint Kitts and Nevis, St. Lucia, St. Vincent and the Grenadines, Trinidad and Tobago, and the British Virgin Islands
977 prime number, sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), balanced prime,[21] Chen prime, Eisenstein prime with no imaginary part, Stern prime,[30] strictly non-palindromic number[31]
- country calling code for Nepal
- EAN prefix for ISSNs
- ISBN Group Identifier for books published in Egypt
978 = 2 × 3 × 163, sphenic number, nontotient,
979 = 11 × 89
980 = 22 × 5 × 72
- ISBN Group Identifier for books published in Venezuela
981 = 32 × 109
- one of two ISBN Group Identifiers for books published in Singapore
982 = 2 × 491, happy number
- ISBN Group Identifier for books published in the Cook Islands, Fiji, Kiribati, Marshall Islands, Micronesia, Nauru, New Caledonia, Niue, Palau, Solomon Islands, Tokelau, Tonga, Tuvalu, Vanuatu, Western Samoa
983 prime number, safe prime,[32] Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number,[33] strictly non-palindromic number[31]
- One of two ISBN Group Identifiers for books published in Malaysia
984 = 23 × 3 × 41
- ISBN Group Identifier for books published in Bangladesh
985 = 5 × 197, sum of three consecutive primes (317 + 331 + 337), Markov number,[34] Pell number,[35] Smith number[2]
- one of two ISBN Group Identifiers for books published in Belarus
986 = 2 × 17 × 29, sphenic number, nontotient
987 = 3 × 7 × 47, Fibonacci number[36]
- one of two ISBN Group Identifiers for books published in Argentina
988 = 22 × 13 × 19, nontotient. sum of four consecutive primes (239 + 241 + 251 + 257)
- one of two ISBN Group Identifiers for books published in Hong Kong
989 = 23 × 43, Extra strong Lucas pseudoprime[37]
- one of two ISBN Group Identifiers for books published in Portugal
990 = 2 × 32 × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number,[1] Harshad number
- best possible VantageScore credit score
991 prime number, sum of five consecutive primes (191 + 193 + 197 + 199 + 211), sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157), Chen prime
992 = 25 × 31, pronic number,[11] nontotient; number of eleven-dimensional exotic spheres.[38]
- country calling code for Tajikistan
993 = 3 × 331
- country calling code for Turkmenistan
994 = 2 × 7 × 71, sphenic number, nontotient
- country calling code for Azerbaijan
995 = 5 × 199
- country calling code for Georgia
- Singapore fire brigade and emergency ambulance services hotline
996 = 22 × 3 × 83
- country calling code for Kyrgyzstan
997 is the largest three-digit prime number, strictly non-palindromic number[31]
998 = 2 × 499, nontotient
- country calling code for Uzbekistan
999 = 33 × 37, Kaprekar number, Harshad number
- In some parts of the world, such as the UK and Commonwealth countries, 999 (pronounced as 9-9-9) is the emergency telephone number.
- 999 was a London punk band active during the 1970s.
See also
References
Wikimedia Commons has media related to 900 (number). |
- 1 2 3 "Sloane's A000217 : Triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- 1 2 3 4 5 "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000984 : Central binomial coefficients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- 1 2 "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A006972 : Lucas-Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A003154 : Centered 12-gonal numbers. Also star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A006882 : Double factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 13. ISBN 978-1-84800-000-1.
- ↑ "Sloane's A006038 : Odd primitive abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A006036 : Primitive pseudoperfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000384 : Hexagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- 1 2 "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A005384 : Sophie Germain primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A093112 : a(n) = (2^n-1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A042978 : Stern primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- 1 2 3 "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "Sloane's A0217719 : Extra strong Lucas pseudoprimes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
- ↑ "week164". Math.ucr.edu. 2001-01-13. Retrieved 2014-05-12.