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13364928 = 263223203
BaseRepresentation
bin110010111110…
…111011000000
3221011000020100
4302332323000
511410134203
61154242400
7221412543
oct62767300
927130210
1013364928
1175a92a5
124586400
1329cc355
141abc85a
15128eea3
hexcbeec0

13364928 has 42 divisors (see below), whose sum is σ = 38309804. Its totient is φ = 4454784.

The previous prime is 13364927. The next prime is 13364947. The reversal of 13364928 is 82946331.

13364928 is a `hidden beast` number, since 1 + 3 + 3 + 649 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13364892 and 13364901.

It is not an unprimeable number, because it can be changed into a prime (13364921) 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 5 ways as a sum of consecutive naturals, for example, 11026 + ... + 12177.

Almost surely, 213364928 is an apocalyptic number.

13364928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13364928 is an abundant number, since it is smaller than the sum of its proper divisors (24944876).

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

13364928 is a wasteful number, since it uses less digits than its factorization.

13364928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221 (or 23208 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13364928 is about 3655.8074347536. The cubic root of 13364928 is about 237.3133706505.

The spelling of 13364928 in words is "thirteen million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23203 46406 69609 92812 139218 185624 208827 278436 371248 417654 556872 742496 835308 1113744 1484992 1670616 2227488 3341232 4454976 6682464 13364928