270 (number)
| ||||
|---|---|---|---|---|
| Cardinal | two hundred seventy | |||
| Ordinal | 270th (two hundred seventieth) | |||
| Factorization | 2 × 33 × 5 | |||
| Greek numeral | ΣΟ´ | |||
| Roman numeral | CCLXX | |||
| Binary | 1000011102 | |||
| Ternary | 1010003 | |||
| Quaternary | 100324 | |||
| Quinary | 20405 | |||
| Senary | 11306 | |||
| Octal | 4168 | |||
| Duodecimal | 1A612 | |||
| Hexadecimal | 10E16 | |||
| Vigesimal | DA20 | |||
| Base 36 | 7I36 | |||
270 (two hundred [and] seventy) is the natural number following 269 and preceding 271.
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.
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
Integers from 271 to 279
271
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
274
274 = 2·137, tribonacci number, Smith number, nontotient, noncototient, centered triangular number, 27464 + 1 is prime
275
275 = 52·11. 275 is the sum of fifth powers of the first two primes. The maximal number of pieces that can be obtained by cutting an annulus with 22 cuts.[4]
276
277
278
278 = 2·139 = Φ(30),[5] nontotient. 278 is the smallest semiprime such that the next semiprime (287) is its anagram.
279
279 = 32·31. Every positive integer is the sum of at most 279 eighth powers. See Waring's problem.
References
- ↑ Sloane, N. J. A., ed. "Sequence A001599 (Harmonic or Ore numbers)". OEIS Foundation. https://oeis.org/A001599. Retrieved 2016-05-28.
- ↑ Sloane, N. J. A., ed. "Sequence A007340". OEIS Foundation. https://oeis.org/A007340.
- ↑ Sloane, N. J. A., ed. "Sequence A003483". OEIS Foundation. https://oeis.org/A003483.
- ↑ Sloane, N. J. A., ed. "Sequence A000096". OEIS Foundation. https://oeis.org/A000096.
- ↑ Sloane, N. J. A., ed. "Sequence A002088". OEIS Foundation. https://oeis.org/A002088.
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