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12630864 = 2431723673
BaseRepresentation
bin110000001011…
…101101010000
3212202201021210
4300023231100
511213141424
61130420120
7212234451
oct60135520
925681253
1012630864
117147834
124291640
1328031ac
14196b128
151197729
hexc0bb50

12630864 has 80 divisors (see below), whose sum is σ = 36104832. Its totient is φ = 3784704.

The previous prime is 12630853. The next prime is 12630869. The reversal of 12630864 is 46803621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18432 + ... + 19104.

Almost surely, 212630864 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 12630864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052416).

12630864 is an abundant number, since it is smaller than the sum of its proper divisors (23473968).

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

12630864 is a wasteful number, since it uses less digits than its factorization.

12630864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12630864 is about 3553.9926842919. The cubic root of 12630864 is about 232.8865209041.

The spelling of 12630864 in words is "twelve million, six hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 673 782 816 1104 1173 1346 1564 2019 2346 2692 3128 4038 4692 5384 6256 8076 9384 10768 11441 15479 16152 18768 22882 30958 32304 34323 45764 46437 61916 68646 91528 92874 123832 137292 183056 185748 247664 263143 274584 371496 526286 549168 742992 789429 1052572 1578858 2105144 3157716 4210288 6315432 12630864