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13656040 = 2351971733
BaseRepresentation
bin110100000101…
…111111101000
3221200210120021
4310011333220
511443443130
61204410224
7224034346
oct64057750
927623507
1013656040
117787a92
1246a6974
132aa19c8
141b56996
1512eb37a
hexd05fe8

13656040 has 32 divisors (see below), whose sum is σ = 30899880. Its totient is φ = 5431552.

The previous prime is 13656031. The next prime is 13656077. The reversal of 13656040 is 4065631.

It can be written as a sum of positive squares in 4 ways, for example, as 13264164 + 391876 = 3642^2 + 626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13655996 and 13656014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7014 + ... + 8746.

Almost surely, 213656040 is an apocalyptic number.

13656040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13656040 is an abundant number, since it is smaller than the sum of its proper divisors (17243840).

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

13656040 is a wasteful number, since it uses less digits than its factorization.

13656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 13656040 is about 3695.4079612405. The cubic root of 13656040 is about 239.0240459458.

The spelling of 13656040 in words is "thirteen million, six hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1733 1970 3466 3940 6932 7880 8665 13864 17330 34660 69320 341401 682802 1365604 1707005 2731208 3414010 6828020 13656040