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12957132 = 2233161571
BaseRepresentation
bin110001011011…
…010111001100
3220101021211210
4301123113030
511304112012
61141414420
7215063616
oct61332714
926337753
1012957132
11734a981
12440a410
1328b8856
141a13db6
15120e23c
hexc5b5cc

12957132 has 48 divisors (see below), whose sum is σ = 31775744. Its totient is φ = 4104000.

The previous prime is 12957121. The next prime is 12957137. The reversal of 12957132 is 23175921.

It is a self number, because there is not a number n which added to its sum of digits gives 12957132.

It is not an unprimeable number, because it can be changed into a prime (12957137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22407 + ... + 22977.

Almost surely, 212957132 is an apocalyptic number.

12957132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12957132 is an abundant number, since it is smaller than the sum of its proper divisors (18818612).

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

12957132 is a wasteful number, since it uses less digits than its factorization.

12957132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 12957132 is about 3599.6016446268. The cubic root of 12957132 is about 234.8747302777.

The spelling of 12957132 in words is "twelve million, nine hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 366 372 571 732 1142 1713 1891 2284 3426 3782 5673 6852 7564 11346 17701 22692 34831 35402 53103 69662 70804 104493 106206 139324 208986 212412 417972 1079761 2159522 3239283 4319044 6478566 12957132