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12814932 = 2231327189
BaseRepresentation
bin110000111000…
…101001010100
3220010001210010
4300320221110
511240034212
61134400220
7213632214
oct60705124
926101703
1012814932
117263059
124360070
132868c00
1419b8244
1511d203c
hexc38a54

12814932 has 72 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3843840.

The previous prime is 12814883. The next prime is 12814937. The reversal of 12814932 is 23941821.

It is a self number, because there is not a number n which added to its sum of digits gives 12814932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143944 + ... + 144032.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 212814932 is an apocalyptic number.

12814932 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 12814932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

12814932 is an abundant number, since it is smaller than the sum of its proper divisors (20388588).

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

12814932 is a wasteful number, since it uses less digits than its factorization.

12814932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12814932 is about 3579.7949661957. The cubic root of 12814932 is about 234.0123450277.

The spelling of 12814932 in words is "twelve million, eight hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 89 142 156 169 178 213 267 284 338 356 426 507 534 676 852 923 1014 1068 1157 1846 2028 2314 2769 3471 3692 4628 5538 6319 6942 11076 11999 12638 13884 15041 18957 23998 25276 30082 35997 37914 45123 47996 60164 71994 75828 82147 90246 143988 164294 180492 246441 328588 492882 985764 1067911 2135822 3203733 4271644 6407466 12814932