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132955264 = 271379901
BaseRepresentation
bin1111110110010…
…11110010000000
3100021011211100001
413323023302000
5233014032024
621105405344
73203046451
oct773136200
9307154301
10132955264
1169060292
1238639854
1321711970
141392d128
15ba14244
hex7ecbc80

132955264 has 32 divisors (see below), whose sum is σ = 285250140. Its totient is φ = 61363200.

The previous prime is 132955259. The next prime is 132955267. The reversal of 132955264 is 462559231.

It can be written as a sum of positive squares in 2 ways, for example, as 122766400 + 10188864 = 11080^2 + 3192^2 .

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 (132955267) 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, 38287 + ... + 41614.

Almost surely, 2132955264 is an apocalyptic number.

It is an amenable number.

132955264 is an abundant number, since it is smaller than the sum of its proper divisors (152294876).

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

132955264 is an equidigital number, since it uses as much as digits as its factorization.

132955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79928 (or 79916 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 132955264 is about 11530.6228799662. The cubic root of 132955264 is about 510.3896343253.

The spelling of 132955264 in words is "one hundred thirty-two million, nine hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 79901 159802 319604 639208 1038713 1278416 2077426 2556832 4154852 5113664 8309704 10227328 16619408 33238816 66477632 132955264