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12931164 = 2234107373
BaseRepresentation
bin110001010101…
…000001011100
3220022222020000
4301111001130
511302244124
61141054300
7214625121
oct61250134
926288200
1012931164
117332414
1243b7390
1328a9a9c
141a08748
1512066c9
hexc5505c

12931164 has 60 divisors (see below), whose sum is σ = 34212024. Its totient is φ = 4258656.

The previous prime is 12931133. The next prime is 12931181. The reversal of 12931164 is 46113921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34482 + ... + 34854.

Almost surely, 212931164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12931164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106012).

12931164 is an abundant number, since it is smaller than the sum of its proper divisors (21280860).

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

12931164 is a wasteful number, since it uses less digits than its factorization.

12931164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 12931164 is about 3595.9927697369. The cubic root of 12931164 is about 234.7177174932.

The spelling of 12931164 in words is "twelve million, nine hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 373 428 642 746 963 1119 1284 1492 1926 2238 2889 3357 3852 4476 5778 6714 8667 10071 11556 13428 17334 20142 30213 34668 39911 40284 60426 79822 119733 120852 159644 239466 359199 478932 718398 1077597 1436796 2155194 3232791 4310388 6465582 12931164