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12928806 = 232111723167
BaseRepresentation
bin110001010100…
…011100100110
3220022211222200
4301110130212
511302210211
61141035330
7214615212
oct61243446
926284880
1012928806
117330670
1243b5b46
1328a89a7
141a07942
151205b56
hexc54726

12928806 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 3505920.

The previous prime is 12928757. The next prime is 12928813. The reversal of 12928806 is 60882921.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77335 + ... + 77501.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 212928806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12928806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

12928806 is an abundant number, since it is smaller than the sum of its proper divisors (21036762).

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

12928806 is a wasteful number, since it uses less digits than its factorization.

12928806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12928806 is about 3595.6648898361. The cubic root of 12928806 is about 234.7034496871.

The spelling of 12928806 in words is "twelve million, nine hundred twenty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 167 187 198 207 253 306 334 374 391 414 501 506 561 759 782 1002 1122 1173 1503 1518 1683 1837 2277 2346 2839 3006 3366 3519 3674 3841 4301 4554 5511 5678 7038 7682 8517 8602 11022 11523 12903 16533 17034 23046 25551 25806 31229 33066 34569 38709 42251 51102 62458 65297 69138 77418 84502 93687 126753 130594 187374 195891 253506 281061 380259 391782 562122 587673 718267 760518 1175346 1436534 2154801 4309602 6464403 12928806