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12265140 = 2235367557
BaseRepresentation
bin101110110010…
…011010110100
3212002010121110
4232302122310
511114441030
61114515020
7206152266
oct56623264
925063543
1012265140
116a17a88
124135a70
1327058a4
1418b3b36
1511241b0
hexbb26b4

12265140 has 48 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 3255936.

The previous prime is 12265129. The next prime is 12265147. The reversal of 12265140 is 4156221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21742 + ... + 22298.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 212265140 is an apocalyptic number.

12265140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12265140 is an abundant number, since it is smaller than the sum of its proper divisors (22232652).

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

12265140 is a wasteful number, since it uses less digits than its factorization.

12265140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12265140 is about 3502.1621892768. The cubic root of 12265140 is about 230.6167442202.

The spelling of 12265140 in words is "twelve million, two hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 557 734 1101 1114 1468 1671 1835 2202 2228 2785 3342 3670 4404 5505 5570 6684 7340 8355 11010 11140 16710 22020 33420 204419 408838 613257 817676 1022095 1226514 2044190 2453028 3066285 4088380 6132570 12265140