270 (number)
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| Cardinal | two hundred seventy | |||
| Ordinal |
270th (two hundred seventieth) | |||
| Factorization | 2 × 33× 5 | |||
| Roman numeral | CCLXX | |||
| Binary | 1000011102 | |||
| Ternary | 1010003 | |||
| Quaternary | 100324 | |||
| Quinary | 20405 | |||
| Senary | 11306 | |||
| Octal | 4168 | |||
| Duodecimal | 1A612 | |||
| Hexadecimal | 10E16 | |||
| Vigesimal | DA20 | |||
| Base 36 | 7I36 | |||
270 (two hundred [and] seventy) is the natural number following 269 and preceding 271.
In mathematics
- 270 is a harmonic divisor number[1]
- 270 is the fourth number that is divisible by its average integer divisor (sequence A007340 in the OEIS)
- 270 is a practical number, by the second definition
- The sum of the coprime counts for the first 29 integers is 270
- 270 is a sparsely totient number, the largest integer with 72 as its totient
- Given 6 elements, there are 270 square permutations
A003483 - 10! has 270 divisors
- 270 is a Harshad number in base 10
- 270 is the smallest positive integer that has divisors ending by digits 1, 2, …, 9.
In other fields
- The year 270 BC
- The year 270 AD
- The caliber of the .270 Winchester rifle
- The number of U.S. Electoral College votes needed to be elected President of the United States
- The average number of days in human pregnancy
- A pseudonym for Konami musician Naoki Maeda
- One of a number of secondary Interstate highways connecting to Interstate 70: Interstate 270
271–279
271
- Two hundred [and] seventy-one prime, twin prime with 269, cuban prime, centered hexagonal number, sum of eleven consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43).
272
- Two hundred [and] seventy-two 272 = 24·17, sum of four consecutive primes (61 + 67 + 71 + 73), Euler number, primitive semiperfect number, pronic number
273
- Two hundred [and] seventy-three has its own article.
274
- Two hundred [and] seventy-four = 2·137, tribonacci number, Smith number, nontotient, noncototient, centered triangular number
275
- Two hundred [and] seventy-five 275 = 52·11
276
- Two hundred [and] seventy-six has its own article.
277
- Two hundred [and] seventy-seven has its own article.
278
- Two hundred [and] seventy-eight 278 = 2·139, nontotient
279
- Two hundred [and] seventy-nine 279 = 32·31 Every positive integer is the sum of at most 279 eighth powers. See Waring's problem
References
- ↑ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
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