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272132 = 2279719
BaseRepresentation
bin1000010011100000100
3111211021222
41002130010
532202012
65455512
72212250
oct1023404
9454258
10272132
11176503
12111598
1396b33
1471260
1555972
hex42704

272132 has 12 divisors (see below), whose sum is σ = 544320. Its totient is φ = 116616.

The previous prime is 272131. The next prime is 272141. The reversal of 272132 is 231272.

272132 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 272132.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272132.

It is not an unprimeable number, because it can be changed into a prime (272131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4832 + ... + 4887.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2272132 is an apocalyptic number.

It is an amenable number.

272132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

272132 is a wasteful number, since it uses less digits than its factorization.

272132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9728 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 272132 is about 521.6627262897. The cubic root of 272132 is about 64.8027154275.

It can be divided in two parts, 272 and 132, that added together give a palindrome (404).

The spelling of 272132 in words is "two hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 9719 19438 38876 68033 136066 272132