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12265232 = 247412671
BaseRepresentation
bin101110110010…
…011100010000
3212002010201212
4232302130100
511114441412
61114515252
7206152460
oct56623420
925063655
1012265232
116a18061
124135b28
132705945
1418b3ba0
151124222
hexbb2710

12265232 has 40 divisors (see below), whose sum is σ = 27831552. Its totient is φ = 5126400.

The previous prime is 12265229. The next prime is 12265291. The reversal of 12265232 is 23256221.

It is a junction number, because it is equal to n+sod(n) for n = 12265198 and 12265207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3257 + ... + 5927.

Almost surely, 212265232 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 12265232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915776).

12265232 is an abundant number, since it is smaller than the sum of its proper divisors (15566320).

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

12265232 is a wasteful number, since it uses less digits than its factorization.

12265232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2721 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 12265232 is about 3502.1753239951. The cubic root of 12265232 is about 230.6173208323.

The spelling of 12265232 in words is "twelve million, two hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 2671 4592 5342 10684 18697 21368 37394 42736 74788 109511 149576 219022 299152 438044 766577 876088 1533154 1752176 3066308 6132616 12265232