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132827264 = 274722079
BaseRepresentation
bin1111110101011…
…00100010000000
3100020221022202022
413322230202000
5233000433024
621102541012
73202004333
oct772544200
9306838668
10132827264
1168a830a9
1238597768
132169861b
14138d861a
15b9db35e
hex7eac880

132827264 has 32 divisors (see below), whose sum is σ = 270259200. Its totient is φ = 64997632.

The previous prime is 132827263. The next prime is 132827267. The reversal of 132827264 is 462728231.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (132827263) 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, 5024 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (8445600).

Almost surely, 2132827264 is an apocalyptic number.

It is an amenable number.

132827264 is an abundant number, since it is smaller than the sum of its proper divisors (137431936).

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

132827264 is an equidigital number, since it uses as much as digits as its factorization.

132827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22140 (or 22128 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 132827264 is about 11525.0711060713. The cubic root of 132827264 is about 510.2257926253.

The spelling of 132827264 in words is "one hundred thirty-two million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 22079 44158 88316 176632 353264 706528 1037713 1413056 2075426 2826112 4150852 8301704 16603408 33206816 66413632 132827264