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12826836 = 2234115961
BaseRepresentation
bin110000111011…
…100011010100
3220010200010000
4300323203110
511240424321
61134531300
7214012011
oct60734324
926120100
1012826836
117270aa0
124366b30
132871459
1419bc708
1511d5826
hexc3b8d4

12826836 has 120 divisors (see below), whose sum is σ = 37810080. Its totient is φ = 3758400.

The previous prime is 12826819. The next prime is 12826859. The reversal of 12826836 is 63862821.

12826836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12826836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210246 + ... + 210306.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 212826836 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 12826836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040).

12826836 is an abundant number, since it is smaller than the sum of its proper divisors (24983244).

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

12826836 is a wasteful number, since it uses less digits than its factorization.

12826836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12826836 is about 3581.4572453123. The cubic root of 12826836 is about 234.0847819017.

It can be divided in two parts, 1282 and 6836, that added together give a palindrome (8118).

The spelling of 12826836 in words is "twelve million, eight hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 61 66 81 99 108 118 122 132 162 177 183 198 236 244 297 324 354 366 396 531 549 594 649 671 708 732 891 1062 1098 1188 1298 1342 1593 1647 1782 1947 2013 2124 2196 2596 2684 3186 3294 3564 3599 3894 4026 4779 4941 5841 6039 6372 6588 7198 7788 8052 9558 9882 10797 11682 12078 14396 17523 18117 19116 19764 21594 23364 24156 32391 35046 36234 39589 43188 52569 54351 64782 70092 72468 79178 97173 105138 108702 118767 129564 158356 194346 210276 217404 237534 291519 356301 388692 475068 583038 712602 1068903 1166076 1425204 2137806 3206709 4275612 6413418 12826836