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12745656 = 2332711319
BaseRepresentation
bin110000100111…
…101110111000
3212222112202100
4300213232320
511230330111
61133103400
7213223230
oct60475670
925875670
1012745656
117216000
124327b60
132843511
14199acc0
1511bb756
hexc27bb8

12745656 has 192 divisors, whose sum is σ = 45676800. Its totient is φ = 3136320.

The previous prime is 12745651. The next prime is 12745661. The reversal of 12745656 is 65654721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12745651) and next prime (12745661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (50400) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12745656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12745651) 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 47 ways as a sum of consecutive naturals, for example, 670815 + ... + 670833.

It is an arithmetic number, because the mean of its divisors is an integer number (237900).

Almost surely, 212745656 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 12745656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838400).

12745656 is an abundant number, since it is smaller than the sum of its proper divisors (32931144).

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

12745656 is a wasteful number, since it uses less digits than its factorization.

12745656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 12745656 is about 3570.1058807828. The cubic root of 12745656 is about 233.5899019060.

The spelling of 12745656 in words is "twelve million, seven hundred forty-five thousand, six hundred fifty-six".