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13080384 = 263222709
BaseRepresentation
bin110001111001…
…011101000000
3220121112220200
4301321131000
511322033014
61144205200
7216116142
oct61713500
926545820
1013080384
117424539
124469800
13292c995
141a46c92
151235a09
hexc79740

13080384 has 42 divisors (see below), whose sum is σ = 37494210. Its totient is φ = 4359936.

The previous prime is 13080383. The next prime is 13080407. The reversal of 13080384 is 48308031.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 6110784 = 2640^2 + 2472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13080383) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10779 + ... + 11930.

Almost surely, 213080384 is an apocalyptic number.

It is an amenable number.

13080384 is an abundant number, since it is smaller than the sum of its proper divisors (24413826).

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

13080384 is a wasteful number, since it uses less digits than its factorization.

13080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22727 (or 22714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13080384 is about 3616.6813517367. The cubic root of 13080384 is about 235.6171135083.

The spelling of 13080384 in words is "thirteen million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22709 45418 68127 90836 136254 181672 204381 272508 363344 408762 545016 726688 817524 1090032 1453376 1635048 2180064 3270096 4360128 6540192 13080384