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13560096 = 2531112841
BaseRepresentation
bin110011101110…
…100100100000
3221111220221210
4303232210200
511432410341
61202350120
7223154544
oct63564440
927456853
1013560096
1177219a0
12465b340
132a6a134
141b2da24
1512ccc16
hexcee920

13560096 has 48 divisors (see below), whose sum is σ = 38834208. Its totient is φ = 4108800.

The previous prime is 13560089. The next prime is 13560119. The reversal of 13560096 is 69006531.

It is a happy number.

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

It is an unprimeable number.

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, 5365 + ... + 7476.

It is an arithmetic number, because the mean of its divisors is an integer number (809046).

Almost surely, 213560096 is an apocalyptic number.

13560096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13560096 is an abundant number, since it is smaller than the sum of its proper divisors (25274112).

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

13560096 is a wasteful number, since it uses less digits than its factorization.

13560096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 13560096 is about 3682.4035628920. The cubic root of 13560096 is about 238.4629550117.

The spelling of 13560096 in words is "thirteen million, five hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12841 25682 38523 51364 77046 102728 141251 154092 205456 282502 308184 410912 423753 565004 616368 847506 1130008 1232736 1695012 2260016 3390024 4520032 6780048 13560096