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275 (number)

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275 (number)

Template:Infobox number 270 (two hundred [and] seventy) is the natural number following 269 and preceding 271.

In mathematics

  • 270 is a harmonic divisor number
  • 270 is the fourth number that is divisible by its average integer divisor (sequence 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

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

273

274

275

  • Two hundred [and] seventy-five 275 = 52·11

276

277

  • Two hundred [and] seventy-seven Perrin number, self number

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

Template:Integers

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