Trisha Shetty (Editor)

270 (number)

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
270
  
271 →

Factorization
  
2 × 3× 5

Binary
  
1000011102

Cardinal
  
two hundred seventy

Roman numeral
  
CCLXX

Ordinal
  
270th (two hundred and seventieth)

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

Contents

In mathematics

  • 270 is a harmonic divisor number
  • 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

  • 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

    270 (number) Wikipedia
    (Text) CC BY-SA