# 270 (number)

(Redirected from 278 (number))
 ← 269 270 271 →
Cardinaltwo hundred seventy
Ordinal270th
(two hundred seventieth)
Factorization2 × 33 × 5
Greek numeralΣΟ´
Roman numeralCCLXX
Binary1000011102
Ternary1010003
Quaternary100324
Quinary20405
Senary11306
Octal4168
Duodecimal1A612
VigesimalDA20
Base 367I36

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
• 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
• 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.

## Integers from 271 to 279

### 272

272 = 24·17, sum of four consecutive primes (61 + 67 + 71 + 73), Euler number, primitive semiperfect number, pronic number

275 = 52·11

### 278

278 = 2·139, nontotient

### 279

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