270 (number)
From Wikipedia, the free encyclopedia
270 is the natural number following 269 and preceding 271.
| Ordinal | two hundred [and] seventieth |
| Cardinal | two hundred [and] seventy |
| Factorization |  |
| Roman numeral | CCLXX |
| Binary | 100001110 |
| Hexadecimal | 10E |
[edit] In mathematics
270 is a harmonic divisor number. 270 is the fourth number that is divisible by its average integer divisor (sequence A007340 in OEIS). 270 is also a practical number, by the second definition.
The sum of the coprime counts for the first 29 integers is 270. 270 is the largest integer with 72 as its totient, hence 270 is a sparsely totient number.
Given 6 elements, there are 270 square permutations A003483.
10! has 270 divisors.
Being divisible by the sum of its digits, 270 is a Harshad number in base 10.
[edit] In other fields
270 is:
- The number of votes in U.S. Electoral College needed to be elected President of the United States.
- The caliber of the .270 Winchester Rifle.
- The year A.D. 270 or 270 BC.
- The amount of days in human pregnancy.
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[edit] Other numbers from 271 to 279
Two hundred [and] seventy-one 271 prime, twin prime with 269, cuban prime, centered hexagonal number
Two hundred [and] seventy-two 272 = 24·17, sum of four consecutive primes (61 + 67 + 71 + 73), Euler number, primitive semiperfect number, pronic number
Two hundred [and] seventy-three has its own article.
Two hundred [and] seventy-four 274 = 2·137, tribonacci number, Smith number, nontotient, noncototient, centered triangular number
Two hundred [and] seventy-five 275 = 52·11.
Two hundred [and] seventy-six 276 = 22·3·23, triangular number, hexagonal number, centered pentagonal number, untouchable number, the lowest number whose aliquot sequence has not been fully determined (as of 2006)
Two hundred [and] seventy-seven 277 Perrin number, self number
Two hundred [and] seventy-eight 278 = 2·139, nontotient
Two hundred [and] seventy-nine 279 = 32·31 Every positive integer is the sum of at most 279 eighth powers. See Waring's problem.
