270 (number)

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

← 269 270 271 →
Cardinaltwo hundred seventy
Ordinal270th
(two hundred seventieth)
Factorization2 × 33 × 5
Greek numeralΣΟ´
Roman numeralCCLXX
Binary1000011102
Ternary1010003
Senary11306
Octal4168
Duodecimal1A612
Hexadecimal10E16

In mathematics
  • 270 is a harmonic divisor number[1]
  • 270 is the fourth number that is divisible by its average integer divisor[2]
  • 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[3]
  • 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.
  • 270 is the smallest sum of a set of even numbers that contain every digit once.

Integers from 271 to 279

271
Main article: 271 (number)

272

272 = 24·17, sum of four consecutive primes (61 + 67 + 71 + 73), Euler number, primitive semiperfect number, pronic number. 272 is the smallest palindrome divisible by a fourth power.

273
Main article: 273 (number)

274
Main article: 274 (number)

275
Main article: 275 (number)

276
Main article: 276 (number)

277
Main article: 277 (number)

278
Main article: 278 (number)

279

279 = 32·31. Every positive integer is the sum of at most 279 eighth powers. See Waring's problem.

References
  1. Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. Sloane, N. J. A. (ed.). "Sequence A007340". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A003483". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.