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12620664 = 2333717491
BaseRepresentation
bin110000001001…
…001101111000
3212202012022000
4300021031320
511212330124
61130301000
7212162640
oct60111570
925665260
1012620664
117140101
124287760
1327cb664
141967520
1511946c9
hexc09378

12620664 has 128 divisors (see below), whose sum is σ = 42508800. Its totient is φ = 3386880.

The previous prime is 12620653. The next prime is 12620677. The reversal of 12620664 is 46602621.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25459 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (332100).

Almost surely, 212620664 is an apocalyptic number.

12620664 is a gapful number since it is divisible by the number (14) 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 12620664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254400).

12620664 is an abundant number, since it is smaller than the sum of its proper divisors (29888136).

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

12620664 is a wasteful number, since it uses less digits than its factorization.

12620664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12620664 is about 3552.5573886990. The cubic root of 12620664 is about 232.8238151851.

The spelling of 12620664 in words is "twelve million, six hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 491 504 612 714 756 918 952 982 1071 1224 1428 1473 1512 1836 1964 2142 2856 2946 3213 3437 3672 3928 4284 4419 5892 6426 6874 8347 8568 8838 10311 11784 12852 13257 13748 16694 17676 20622 25041 25704 26514 27496 30933 33388 35352 41244 50082 53028 58429 61866 66776 75123 82488 92799 100164 106056 116858 123732 150246 175287 185598 200328 225369 233716 247464 300492 350574 371196 450738 467432 525861 600984 701148 742392 901476 1051722 1402296 1577583 1802952 2103444 3155166 4206888 6310332 12620664