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13065384 = 23317311033
BaseRepresentation
bin110001110101…
…110010101000
3220120210100010
4301311302220
511321043014
61144011520
7216024333
oct61656250
926523303
1013065384
117414242
124460ba0
132925bc7
141a4161a
151231359
hexc75ca8

13065384 has 64 divisors (see below), whose sum is σ = 35735040. Its totient is φ = 3962880.

The previous prime is 13065361. The next prime is 13065391. The reversal of 13065384 is 48356031.

13065384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12132 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (558360).

Almost surely, 213065384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867520).

13065384 is an abundant number, since it is smaller than the sum of its proper divisors (22669656).

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

13065384 is a wasteful number, since it uses less digits than its factorization.

13065384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13065384 is about 3614.6070325832. The cubic root of 13065384 is about 235.5270139990.

The spelling of 13065384 in words is "thirteen million, sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1033 1054 1581 2066 2108 3099 3162 4132 4216 6198 6324 8264 12396 12648 17561 24792 32023 35122 52683 64046 70244 96069 105366 128092 140488 192138 210732 256184 384276 421464 544391 768552 1088782 1633173 2177564 3266346 4355128 6532692 13065384