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12965316 = 22371331383
BaseRepresentation
bin110001011101…
…010111000100
3220101201001220
4301131113010
511304342231
61141520340
7215126520
oct61352704
926351056
1012965316
117356041
1244130b0
1328bc4b0
141a16d80
151211896
hexc5d5c4

12965316 has 96 divisors (see below), whose sum is σ = 38535168. Its totient is φ = 3300480.

The previous prime is 12965287. The next prime is 12965333. The reversal of 12965316 is 61356921.

It is a happy number.

12965316 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12965316 is strictly pandigital in base 8.

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, 33661 + ... + 34043.

It is an arithmetic number, because the mean of its divisors is an integer number (401408).

Almost surely, 212965316 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 12965316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267584).

12965316 is an abundant number, since it is smaller than the sum of its proper divisors (25569852).

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

12965316 is a wasteful number, since it uses less digits than its factorization.

12965316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 12965316 is about 3600.7382576355. The cubic root of 12965316 is about 234.9241704941.

The spelling of 12965316 in words is "twelve million, nine hundred sixty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 383 403 434 546 651 766 806 868 1092 1149 1209 1302 1532 1612 2298 2418 2604 2681 2821 4596 4836 4979 5362 5642 8043 8463 9958 10724 11284 11873 14937 16086 16926 19916 23746 29874 32172 33852 34853 35619 47492 59748 69706 71238 83111 104559 139412 142476 154349 166222 209118 249333 308698 332444 418236 463047 498666 617396 926094 997332 1080443 1852188 2160886 3241329 4321772 6482658 12965316