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12909312 = 283213431
BaseRepresentation
bin110001001111…
…101100000000
3220021212020200
4301033230000
511301044222
61140405200
7214504323
oct61175400
926255220
1012909312
117317a59
1243a6800
13289cb60
141a007ba
1511eeeac
hexc4fb00

12909312 has 108 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 3962880.

The previous prime is 12909283. The next prime is 12909313. The reversal of 12909312 is 21390921.

It is not an unprimeable number, because it can be changed into a prime (12909313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29737 + ... + 30167.

It is an arithmetic number, because the mean of its divisors is an integer number (372008).

Almost surely, 212909312 is an apocalyptic number.

12909312 is a gapful number since it is divisible by the number (12) 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 12909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

12909312 is an abundant number, since it is smaller than the sum of its proper divisors (27267552).

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

12909312 is a wasteful number, since it uses less digits than its factorization.

12909312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12909312 is about 3592.9531029503. The cubic root of 12909312 is about 234.5854287211.

The spelling of 12909312 in words is "twelve million, nine hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 431 468 576 624 768 832 862 936 1152 1248 1293 1664 1724 1872 2304 2496 2586 3328 3448 3744 3879 4992 5172 5603 6896 7488 7758 9984 10344 11206 13792 14976 15516 16809 20688 22412 27584 29952 31032 33618 41376 44824 50427 55168 62064 67236 82752 89648 100854 110336 124128 134472 165504 179296 201708 248256 268944 331008 358592 403416 496512 537888 717184 806832 993024 1075776 1434368 1613664 2151552 3227328 4303104 6454656 12909312