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12930336 = 25321719139
BaseRepresentation
bin110001010100…
…110100100000
3220022221002100
4301110310200
511302232321
61141050400
7214622526
oct61246440
926287070
1012930336
117331831
1243b6a00
1328a95b3
141a08316
151206326
hexc54d20

12930336 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3815424.

The previous prime is 12930299. The next prime is 12930341. The reversal of 12930336 is 63303921.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92955 + ... + 93093.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 212930336 is an apocalyptic number.

12930336 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 12930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12930336 is an abundant number, since it is smaller than the sum of its proper divisors (28347264).

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

12930336 is a wasteful number, since it uses less digits than its factorization.

12930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 12930336 is about 3595.8776397425. The cubic root of 12930336 is about 234.7127076215.

The spelling of 12930336 in words is "twelve million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 139 144 152 153 171 204 228 272 278 288 304 306 323 342 408 417 456 544 556 608 612 646 684 816 834 912 969 1112 1224 1251 1292 1368 1632 1668 1824 1938 2224 2363 2448 2502 2584 2641 2736 2907 3336 3876 4448 4726 4896 5004 5168 5282 5472 5814 6672 7089 7752 7923 9452 10008 10336 10564 11628 13344 14178 15504 15846 18904 20016 21128 21267 23256 23769 28356 31008 31692 37808 40032 42256 42534 44897 46512 47538 56712 63384 75616 84512 85068 89794 93024 95076 113424 126768 134691 170136 179588 190152 226848 253536 269382 340272 359176 380304 404073 538764 680544 718352 760608 808146 1077528 1436704 1616292 2155056 3232584 4310112 6465168 12930336