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12632382 = 2337231453
BaseRepresentation
bin110000001100…
…000100111110
3212202210101000
4300030010332
511213214012
61130431130
7212242050
oct60140476
925683330
1012632382
117148994
1242924a6
132803aa9
14196b8d0
151197ddc
hexc0c13e

12632382 has 64 divisors (see below), whose sum is σ = 33500160. Its totient is φ = 3449952.

The previous prime is 12632357. The next prime is 12632401. The reversal of 12632382 is 28323621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7968 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (523440).

Almost surely, 212632382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750080).

12632382 is an abundant number, since it is smaller than the sum of its proper divisors (20867778).

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

12632382 is a wasteful number, since it uses less digits than its factorization.

12632382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12632382 is about 3554.2062404987. The cubic root of 12632382 is about 232.8958501043.

The spelling of 12632382 in words is "twelve million, six hundred thirty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 1453 2898 2906 4347 4359 8694 8718 10171 13077 20342 26154 30513 33419 39231 61026 66838 78462 91539 100257 183078 200514 233933 274617 300771 467866 549234 601542 701799 902313 1403598 1804626 2105397 4210794 6316191 12632382