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12842632 = 2311197681
BaseRepresentation
bin110000111111…
…011010001000
3220011110210001
4300333122020
511241431012
61135132344
7214106035
oct60773210
926143701
1012842632
117281950
1243740b4
1328786ba
1419c438c
1511da357
hexc3f688

12842632 has 32 divisors (see below), whose sum is σ = 27655200. Its totient is φ = 5529600.

The previous prime is 12842629. The next prime is 12842647. The reversal of 12842632 is 23624821.

12842632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12842632.

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, 2169 + ... + 5512.

It is an arithmetic number, because the mean of its divisors is an integer number (864225).

Almost surely, 212842632 is an apocalyptic number.

It is an amenable number.

12842632 is an abundant number, since it is smaller than the sum of its proper divisors (14812568).

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

12842632 is a wasteful number, since it uses less digits than its factorization.

12842632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7713 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 12842632 is about 3583.6618144016. The cubic root of 12842632 is about 234.1808327753.

It can be divided in two parts, 1284 and 2632, that added together give a triangular number (3916 = T88).

The spelling of 12842632 in words is "twelve million, eight hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 7681 15362 30724 61448 84491 145939 168982 291878 337964 583756 675928 1167512 1605329 3210658 6421316 12842632