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12964512 = 2531112277
BaseRepresentation
bin110001011101…
…001010100000
3220101122222010
4301131022200
511304331022
61141512520
7215124261
oct61351240
926348863
1012964512
117355480
124412740
1328bc012
141a16968
15121150c
hexc5d2a0

12964512 has 48 divisors (see below), whose sum is σ = 37128672. Its totient is φ = 3928320.

The previous prime is 12964499. The next prime is 12964547. The reversal of 12964512 is 21546921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12964512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5083 + ... + 7194.

It is an arithmetic number, because the mean of its divisors is an integer number (773514).

Almost surely, 212964512 is an apocalyptic number.

12964512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12964512 is an abundant number, since it is smaller than the sum of its proper divisors (24164160).

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

12964512 is a wasteful number, since it uses less digits than its factorization.

12964512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12301 (or 12293 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 12964512 is about 3600.6266121329. The cubic root of 12964512 is about 234.9193143857.

The spelling of 12964512 in words is "twelve million, nine hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12277 24554 36831 49108 73662 98216 135047 147324 196432 270094 294648 392864 405141 540188 589296 810282 1080376 1178592 1620564 2160752 3241128 4321504 6482256 12964512