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12632748 = 22329311171
BaseRepresentation
bin110000001100…
…001010101100
3212202210212120
4300030022230
511213221443
61130432540
7212243112
oct60141254
925683776
1012632748
117149197
124292750
132803ccb
14196bab2
151198083
hexc0c2ac

12632748 has 48 divisors (see below), whose sum is σ = 31503360. Its totient is φ = 3931200.

The previous prime is 12632713. The next prime is 12632759. The reversal of 12632748 is 84723621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10203 + ... + 11373.

It is an arithmetic number, because the mean of its divisors is an integer number (656320).

Almost surely, 212632748 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 12632748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751680).

12632748 is an abundant number, since it is smaller than the sum of its proper divisors (18870612).

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

12632748 is a wasteful number, since it uses less digits than its factorization.

12632748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 12632748 is about 3554.2577284153. The cubic root of 12632748 is about 232.8980993253.

The spelling of 12632748 in words is "twelve million, six hundred thirty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1171 1798 2342 2697 3513 3596 4684 5394 7026 10788 14052 33959 36301 67918 72602 101877 108903 135836 145204 203754 217806 407508 435612 1052729 2105458 3158187 4210916 6316374 12632748