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12656640 = 21335103
BaseRepresentation
bin110000010010…
…000000000000
3212211000122110
4300102000000
511220003030
61131135320
7212402553
oct60220000
925730573
1012656640
117165137
1242a4540
132811b49
14197669a
1511a01b0
hexc12000

12656640 has 112 divisors (see below), whose sum is σ = 40891968. Its totient is φ = 3342336.

The previous prime is 12656639. The next prime is 12656671. The reversal of 12656640 is 4665621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12656598 and 12656607.

It is a congruent number.

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, 122829 + ... + 122931.

Almost surely, 212656640 is an apocalyptic number.

12656640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445984).

12656640 is an abundant number, since it is smaller than the sum of its proper divisors (28235328).

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

12656640 is an equidigital number, since it uses as much as digits as its factorization.

12656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 12656640 is about 3557.6171800799. The cubic root of 12656640 is about 233.0448316418.

The spelling of 12656640 in words is "twelve million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 256 309 320 384 412 480 512 515 618 640 768 824 960 1024 1030 1236 1280 1536 1545 1648 1920 2048 2060 2472 2560 3072 3090 3296 3840 4096 4120 4944 5120 6144 6180 6592 7680 8192 8240 9888 10240 12288 12360 13184 15360 16480 19776 20480 24576 24720 26368 30720 32960 39552 40960 49440 52736 61440 65920 79104 98880 105472 122880 131840 158208 197760 210944 263680 316416 395520 421888 527360 632832 791040 843776 1054720 1265664 1582080 2109440 2531328 3164160 4218880 6328320 12656640