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12997452 = 2231331729
BaseRepresentation
bin110001100101…
…001101001100
3220110100011010
4301211031030
511311404302
61142325220
7215322306
oct61451514
926410133
1012997452
1173781a6
124429810
132901000
141a24976
15121b16c
hexc6534c

12997452 has 96 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 3634176.

The previous prime is 12997441. The next prime is 12997477. The reversal of 12997452 is 25479921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12997452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448174 + ... + 448202.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 212997452 is an apocalyptic number.

12997452 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 12997452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

12997452 is an abundant number, since it is smaller than the sum of its proper divisors (22988148).

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

12997452 is a wasteful number, since it uses less digits than its factorization.

12997452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 12997452 is about 3605.1979141234. The cubic root of 12997452 is about 235.1181057150.

The spelling of 12997452 in words is "twelve million, nine hundred ninety-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 169 174 204 221 338 348 377 442 493 507 663 676 754 884 986 1014 1131 1326 1479 1508 1972 2028 2197 2262 2652 2873 2958 4394 4524 4901 5746 5916 6409 6591 8619 8788 9802 11492 12818 13182 14703 17238 19227 19604 25636 26364 29406 34476 37349 38454 58812 63713 74698 76908 83317 112047 127426 149396 166634 191139 224094 249951 254852 333268 382278 448188 499902 764556 999804 1083121 2166242 3249363 4332484 6498726 12997452