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13022688 = 253719379
BaseRepresentation
bin110001101011…
…010111100000
3220111121202210
4301223113200
511313211223
61143042120
7215456010
oct61532740
926447683
1013022688
117395158
124440340
13290c643
141a2dc40
151223893
hexc6b5e0

13022688 has 48 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 3720576.

The previous prime is 13022687. The next prime is 13022699. The reversal of 13022688 is 88622031.

13022688 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

13022688 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9018 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 213022688 is an apocalyptic number.

It is an amenable number.

13022688 is an abundant number, since it is smaller than the sum of its proper divisors (26047392).

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

13022688 is a wasteful number, since it uses less digits than its factorization.

13022688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19399 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13022688 is about 3608.6961634363. The cubic root of 13022688 is about 235.2701766621.

The spelling of 13022688 in words is "thirteen million, twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19379 38758 58137 77516 116274 135653 155032 232548 271306 310064 406959 465096 542612 620128 813918 930192 1085224 1627836 1860384 2170448 3255672 4340896 6511344 13022688