Search a number
270 = 2335

270 has 16 divisors (see below), whose sum is σ = 720. Its totient is φ = 72.

The previous prime is 269. The next prime is 271. The reversal of 270 is 72.

Subtracting from 270 its product of nonzero digits (14), we obtain a 8-th power (256 = 28).

It is an interprime number because it is at equal distance from previous prime (269) and next prime (271).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

270 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 56.

It is an arithmetic number, because the mean of its divisors is an integer number (45).

It is a practical number, because each smaller number is the sum of distinct divisors of 270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360).

270 is an abundant number, since it is smaller than the sum of its proper divisors (450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

270 is a wasteful number, since it uses less digits than its factorization.

270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 270 is about 16.4316767252. The cubic root of 270 is about 6.4633040701.

The spelling of 270 in words is "two hundred seventy", and thus it is an aban number and an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270