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13765728 = 253197547
BaseRepresentation
bin110100100000…
…110001100000
3221220101000210
4310200301200
512011000403
61211014120
7225002214
oct64406140
927811023
1013765728
117852439
12473a340
132b0c902
141b84944
15131db03
hexd20c60

13765728 has 48 divisors (see below), whose sum is σ = 38041920. Its totient is φ = 4346496.

The previous prime is 13765727. The next prime is 13765751. The reversal of 13765728 is 82756731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765721) 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, 1950 + ... + 5597.

It is an arithmetic number, because the mean of its divisors is an integer number (792540).

Almost surely, 213765728 is an apocalyptic number.

It is an amenable number.

13765728 is an abundant number, since it is smaller than the sum of its proper divisors (24276192).

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

13765728 is a wasteful number, since it uses less digits than its factorization.

13765728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 13765728 is about 3710.2194005207. The cubic root of 13765728 is about 239.6623028366.

The spelling of 13765728 in words is "thirteen million, seven hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7547 15094 22641 30188 45282 60376 90564 120752 143393 181128 241504 286786 362256 430179 573572 724512 860358 1147144 1720716 2294288 3441432 4588576 6882864 13765728