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12632640 = 263513159
BaseRepresentation
bin110000001100…
…001001000000
3212202210201120
4300030021000
511213221030
61130432240
7212242566
oct60141100
925683646
1012632640
1171490a9
124292680
132803c47
14196ba36
151198010
hexc0c240

12632640 has 56 divisors (see below), whose sum is σ = 40111680. Its totient is φ = 3368448.

The previous prime is 12632639. The next prime is 12632657. The reversal of 12632640 is 4623621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12632640.

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, 5620 + ... + 7539.

It is an arithmetic number, because the mean of its divisors is an integer number (716280).

Almost surely, 212632640 is an apocalyptic number.

12632640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12632640 is an abundant number, since it is smaller than the sum of its proper divisors (27479040).

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

12632640 is a wasteful number, since it uses less digits than its factorization.

12632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13179 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12632640 is about 3554.2425353372. The cubic root of 12632640 is about 232.8974356253.

The spelling of 12632640 in words is "twelve million, six hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13159 26318 39477 52636 65795 78954 105272 131590 157908 197385 210544 263180 315816 394770 421088 526360 631632 789540 842176 1052720 1263264 1579080 2105440 2526528 3158160 4210880 6316320 12632640