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13666656 = 253294909
BaseRepresentation
bin110100001000…
…100101100000
3221201100010110
4310020211200
511444313111
61204531320
7224110323
oct64104540
927640113
1013666656
117794a63
1246b0b40
132aa67a3
141b5a7ba
1512ee5a6
hexd08960

13666656 has 48 divisors (see below), whose sum is σ = 37119600. Its totient is φ = 4397568.

The previous prime is 13666607. The next prime is 13666661. The reversal of 13666656 is 65666631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 5238.

It is an arithmetic number, because the mean of its divisors is an integer number (773325).

Almost surely, 213666656 is an apocalyptic number.

13666656 is a gapful number since it is divisible by the number (16) 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 13666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559800).

13666656 is an abundant number, since it is smaller than the sum of its proper divisors (23452944).

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

13666656 is a wasteful number, since it uses less digits than its factorization.

13666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4943 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 13666656 is about 3696.8440594648. The cubic root of 13666656 is about 239.0859678017.

The spelling of 13666656 in words is "thirteen million, six hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4909 9818 14727 19636 29454 39272 58908 78544 117816 142361 157088 235632 284722 427083 471264 569444 854166 1138888 1708332 2277776 3416664 4555552 6833328 13666656