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12929136 = 2431147521
BaseRepresentation
bin110001010100…
…100001110000
3220022212102220
4301110201300
511302213021
61141041040
7214616163
oct61244160
926285386
1012929136
117330940
1243b6180
1328a8b9c
141a07ada
151205cc6
hexc54870

12929136 has 80 divisors (see below), whose sum is σ = 37283328. Its totient is φ = 3827200.

The previous prime is 12929117. The next prime is 12929141. The reversal of 12929136 is 63192921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12929097 and 12929106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24556 + ... + 25076.

Almost surely, 212929136 is an apocalyptic number.

12929136 is a gapful number since it is divisible by the number (16) 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 12929136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641664).

12929136 is an abundant number, since it is smaller than the sum of its proper divisors (24354192).

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

12929136 is a wasteful number, since it uses less digits than its factorization.

12929136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 12929136 is about 3595.7107781355. The cubic root of 12929136 is about 234.7054465582.

The spelling of 12929136 in words is "twelve million, nine hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 521 528 564 752 1034 1042 1128 1551 1563 2068 2084 2256 3102 3126 4136 4168 5731 6204 6252 8272 8336 11462 12408 12504 17193 22924 24487 24816 25008 34386 45848 48974 68772 73461 91696 97948 137544 146922 195896 269357 275088 293844 391792 538714 587688 808071 1077428 1175376 1616142 2154856 3232284 4309712 6464568 12929136