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132656904 = 23322963533
BaseRepresentation
bin1111110100000…
…10111100001000
3100020121200001200
413322002330020
5232430010104
621055144200
73200364552
oct772027410
9306550050
10132656904
1168977106
1238515060
1321638c13
14138924d2
15b9a5b39
hex7e82f08

132656904 has 48 divisors (see below), whose sum is σ = 371673900. Its totient is φ = 42693504.

The previous prime is 132656863. The next prime is 132656941. The reversal of 132656904 is 409656231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132020100 + 636804 = 11490^2 + 798^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29679 + ... + 33854.

Almost surely, 2132656904 is an apocalyptic number.

It is an amenable number.

132656904 is an abundant number, since it is smaller than the sum of its proper divisors (239016996).

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

132656904 is a wasteful number, since it uses less digits than its factorization.

132656904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63574 (or 63567 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 132656904 is about 11517.6778909640. The cubic root of 132656904 is about 510.0075662084.

The spelling of 132656904 in words is "one hundred thirty-two million, six hundred fifty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 63533 127066 190599 254132 381198 508264 571797 762396 1143594 1524792 1842457 2287188 3684914 4574376 5527371 7369828 11054742 14739656 16582113 22109484 33164226 44218968 66328452 132656904