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12664704 = 273134359
BaseRepresentation
bin110000010011…
…111110000000
3212211102201010
4300103332000
511220232304
61131240520
7212435223
oct60237600
925742633
1012664704
1171701a8
1242a9140
132815710
1419795ba
1511a2789
hexc13f80

12664704 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3741696.

The previous prime is 12664699. The next prime is 12664723. The reversal of 12664704 is 40746621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214627 + ... + 214685.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 212664704 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 12664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

12664704 is an abundant number, since it is smaller than the sum of its proper divisors (25034496).

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

12664704 is a wasteful number, since it uses less digits than its factorization.

12664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 12664704 is about 3558.7503424657. The cubic root of 12664704 is about 233.0943148787.

The spelling of 12664704 in words is "twelve million, six hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 59 64 78 86 96 104 118 128 129 156 172 177 192 208 236 258 312 344 354 384 416 472 516 559 624 688 708 767 832 944 1032 1118 1248 1376 1416 1534 1664 1677 1888 2064 2236 2301 2496 2537 2752 2832 3068 3354 3776 4128 4472 4602 4992 5074 5504 5664 6136 6708 7552 7611 8256 8944 9204 10148 11328 12272 13416 15222 16512 17888 18408 20296 22656 24544 26832 30444 32981 35776 36816 40592 49088 53664 60888 65962 71552 73632 81184 98176 98943 107328 121776 131924 147264 162368 197886 214656 243552 263848 294528 324736 395772 487104 527696 791544 974208 1055392 1583088 2110784 3166176 4221568 6332352 12664704