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12265872 = 243475437
BaseRepresentation
bin101110110010…
…100110010000
3212002011121120
4232302212100
511120001442
61114522240
7206154363
oct56624620
925064546
1012265872
116a18593
124136380
132706018
1418b40da
1511244ec
hexbb2990

12265872 has 40 divisors (see below), whose sum is σ = 32366976. Its totient is φ = 4000896.

The previous prime is 12265871. The next prime is 12265901. The reversal of 12265872 is 27856221.

It is not an unprimeable number, because it can be changed into a prime (12265871) by changing a digit.

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, 463 + ... + 4974.

Almost surely, 212265872 is an apocalyptic number.

12265872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12265872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183488).

12265872 is an abundant number, since it is smaller than the sum of its proper divisors (20101104).

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

12265872 is a wasteful number, since it uses less digits than its factorization.

12265872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5489 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 12265872 is about 3502.2666945851. The cubic root of 12265872 is about 230.6213319677.

The spelling of 12265872 in words is "twelve million, two hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5437 10874 16311 21748 32622 43496 65244 86992 130488 255539 260976 511078 766617 1022156 1533234 2044312 3066468 4088624 6132936 12265872