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12264032 = 251134841
BaseRepresentation
bin101110110010…
…001001100000
3212002002002102
4232302021200
511114422112
61114505532
7206146124
oct56621140
925062072
1012264032
116a17170
1241352a8
132705231
1418b3584
151123bc2
hexbb2260

12264032 has 24 divisors (see below), whose sum is σ = 26340552. Its totient is φ = 5574400.

The previous prime is 12264029. The next prime is 12264047. The reversal of 12264032 is 23046221.

It is a junction number, because it is equal to n+sod(n) for n = 12263995 and 12264013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17069 + ... + 17772.

It is an arithmetic number, because the mean of its divisors is an integer number (1097523).

Almost surely, 212264032 is an apocalyptic number.

It is an amenable number.

12264032 is an abundant number, since it is smaller than the sum of its proper divisors (14076520).

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

12264032 is a wasteful number, since it uses less digits than its factorization.

12264032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34862 (or 34854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12264032 is about 3502.0039977133. The cubic root of 12264032 is about 230.6097995774.

The spelling of 12264032 in words is "twelve million, two hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 34841 69682 139364 278728 383251 557456 766502 1114912 1533004 3066008 6132016 12264032