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12265472 = 21153113
BaseRepresentation
bin101110110010…
…100000000000
3212002011001202
4232302200000
511114443342
61114520332
7206153252
oct56624000
925064052
1012265472
116a1825a
1241360a8
132705a9b
1418b3cd2
151124332
hexbb2800

12265472 has 48 divisors (see below), whose sum is σ = 25208820. Its totient is φ = 5963776.

The previous prime is 12265459. The next prime is 12265511. The reversal of 12265472 is 27456221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 541696 = 3424^2 + 736^2 .

Its product of digits (6720) is a multiple of the sum of its prime divisors (168).

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, 108488 + ... + 108600.

Almost surely, 212265472 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 12265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604410).

12265472 is an abundant number, since it is smaller than the sum of its proper divisors (12943348).

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

12265472 is an equidigital number, since it uses as much as digits as its factorization.

12265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 12265472 is about 3502.2095882457. The cubic root of 12265472 is about 230.6188250245.

The spelling of 12265472 in words is "twelve million, two hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 113 128 212 226 256 424 452 512 848 904 1024 1696 1808 2048 3392 3616 5989 6784 7232 11978 13568 14464 23956 27136 28928 47912 54272 57856 95824 108544 115712 191648 231424 383296 766592 1533184 3066368 6132736 12265472