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12997952 = 261137499
BaseRepresentation
bin110001100101…
…010101000000
3220110100211122
4301211111000
511311413302
61142331412
7215323622
oct61452500
926410748
1012997952
117378610
124429b68
1329012c6
141a24c12
15121b3a2
hexc65540

12997952 has 56 divisors (see below), whose sum is σ = 28956000. Its totient is φ = 5736960.

The previous prime is 12997939. The next prime is 12997961. The reversal of 12997952 is 25979921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25799 + ... + 26297.

Almost surely, 212997952 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 12997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478000).

12997952 is an abundant number, since it is smaller than the sum of its proper divisors (15958048).

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

12997952 is a wasteful number, since it uses less digits than its factorization.

12997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its digits is 102060, while the sum is 44.

The square root of 12997952 is about 3605.2672577772. The cubic root of 12997952 is about 235.1211206020.

It can be divided in two parts, 129979 and 52, that added together give a palindrome (130031).

The spelling of 12997952 in words is "twelve million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 499 592 704 814 998 1184 1628 1996 2368 3256 3992 5489 6512 7984 10978 13024 15968 18463 21956 26048 31936 36926 43912 73852 87824 147704 175648 203093 295408 351296 406186 590816 812372 1181632 1624744 3249488 6498976 12997952