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12856536 = 2333711773
BaseRepresentation
bin110001000010…
…110011011000
3220012011212000
4301002303120
511242402121
61135321000
7214164420
oct61026330
926164760
1012856536
117291340
124380160
132881b24
1419c9480
1511de526
hexc42cd8

12856536 has 128 divisors (see below), whose sum is σ = 44582400. Its totient is φ = 3335040.

The previous prime is 12856523. The next prime is 12856549. The reversal of 12856536 is 63565821.

It is an interprime number because it is at equal distance from previous prime (12856523) and next prime (12856549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12856536.

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, 16246 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (348300).

Almost surely, 212856536 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 12856536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291200).

12856536 is an abundant number, since it is smaller than the sum of its proper divisors (31725864).

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

12856536 is a wasteful number, since it uses less digits than its factorization.

12856536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 12856536 is about 3585.6012048191. The cubic root of 12856536 is about 234.2653137955.

The spelling of 12856536 in words is "twelve million, eight hundred fifty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 773 792 924 1188 1386 1512 1546 1848 2079 2319 2376 2772 3092 4158 4638 5411 5544 6184 6957 8316 8503 9276 10822 13914 16233 16632 17006 18552 20871 21644 25509 27828 32466 34012 41742 43288 48699 51018 55656 59521 64932 68024 76527 83484 97398 102036 119042 129864 146097 153054 166968 178563 194796 204072 229581 238084 292194 306108 357126 389592 459162 476168 535689 584388 612216 714252 918324 1071378 1168776 1428504 1607067 1836648 2142756 3214134 4285512 6428268 12856536