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12975144 = 2337132457
BaseRepresentation
bin110001011111…
…110000101000
3220102012112220
4301133300220
511310201034
61142034040
7215200260
oct61376050
926365486
1012975144
117362466
124418920
1328c3b00
141a1a7a0
151214749
hexc5fc28

12975144 has 96 divisors (see below), whose sum is σ = 40230720. Its totient is φ = 3414528.

The previous prime is 12975139. The next prime is 12975161. The reversal of 12975144 is 44157921.

It is a happy number.

12975144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28164 + ... + 28620.

It is an arithmetic number, because the mean of its divisors is an integer number (419070).

Almost surely, 212975144 is an apocalyptic number.

12975144 is a gapful number since it is divisible by the number (14) 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 12975144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115360).

12975144 is an abundant number, since it is smaller than the sum of its proper divisors (27255576).

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

12975144 is a wasteful number, since it uses less digits than its factorization.

12975144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 12975144 is about 3602.1027192461. The cubic root of 12975144 is about 234.9835147633.

It can be divided in two parts, 129751 and 44, that added together give a triangular number (129795 = T509).

The spelling of 12975144 in words is "twelve million, nine hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 457 507 546 676 728 914 1014 1092 1183 1352 1371 1828 2028 2184 2366 2742 3199 3549 3656 4056 4732 5484 5941 6398 7098 9464 9597 10968 11882 12796 14196 17823 19194 23764 25592 28392 35646 38388 41587 47528 71292 76776 77233 83174 124761 142584 154466 166348 231699 249522 308932 332696 463398 499044 540631 617864 926796 998088 1081262 1621893 1853592 2162524 3243786 4325048 6487572 12975144