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13302816 = 253138571
BaseRepresentation
bin110010101111…
…110000100000
3221000212000220
4302233300200
511401142231
61153043040
7221033502
oct62576040
927025026
1013302816
11756666a
124556480
1329a9cb7
141aa3d72
15127b896
hexcafc20

13302816 has 24 divisors (see below), whose sum is σ = 34920144. Its totient is φ = 4434240.

The previous prime is 13302799. The next prime is 13302827. The reversal of 13302816 is 61820331.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 69190 + ... + 69381.

It is an arithmetic number, because the mean of its divisors is an integer number (1455006).

Almost surely, 213302816 is an apocalyptic number.

13302816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13302816 is an abundant number, since it is smaller than the sum of its proper divisors (21617328).

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

13302816 is a wasteful number, since it uses less digits than its factorization.

13302816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138584 (or 138576 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13302816 is about 3647.3025649101. The cubic root of 13302816 is about 236.9451706025.

The spelling of 13302816 in words is "thirteen million, three hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 138571 277142 415713 554284 831426 1108568 1662852 2217136 3325704 4434272 6651408 13302816