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.
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.
- Interstate 270, four different spur routes of Interstate 70, in Colorado, Illinois, Maryland and Ohio.
- The caliber of the .270 Winchester Rifle.
- The year A.D. 270 or 270 BC.
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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. Also, spur routes of Interstate 75 in the United States.
Two hundred [and] seventy-six 276 = 22·3·23, triangular number, hexagonal number, centered pentagonal number, untouchable number
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.
