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12874368 = 273132579
BaseRepresentation
bin110001000111…
…001010000000
3220020002022110
4301013022000
511243434433
61135535320
7214300413
oct61071200
926202273
1012874368
1172a3781
12438a540
132889c90
1419d1b7a
1511e4963
hexc47280

12874368 has 64 divisors (see below), whose sum is σ = 36842400. Its totient is φ = 3959808.

The previous prime is 12874361. The next prime is 12874387. The reversal of 12874368 is 86347821.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (12874361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3703 + ... + 6281.

Almost surely, 212874368 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 12874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421200).

12874368 is an abundant number, since it is smaller than the sum of its proper divisors (23968032).

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

12874368 is a wasteful number, since it uses less digits than its factorization.

12874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2597 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 12874368 is about 3588.0869554681. The cubic root of 12874368 is about 234.3735723291.

The spelling of 12874368 in words is "twelve million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 2579 4992 5158 7737 10316 15474 20632 30948 33527 41264 61896 67054 82528 100581 123792 134108 165056 201162 247584 268216 330112 402324 495168 536432 804648 990336 1072864 1609296 2145728 3218592 4291456 6437184 12874368