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13728928 = 251725237
BaseRepresentation
bin110100010111…
…110010100000
3221211111112211
4310113302200
512003311203
61210131504
7224460013
oct64276240
927744484
1013728928
117827824
124720b94
132ac8c35
141b7537a
151312c6d
hexd17ca0

13728928 has 24 divisors (see below), whose sum is σ = 28619892. Its totient is φ = 6460416.

The previous prime is 13728917. The next prime is 13728937. The reversal of 13728928 is 82982731.

It can be written as a sum of positive squares in 2 ways, for example, as 12588304 + 1140624 = 3548^2 + 1068^2 .

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, 12075 + ... + 13162.

Almost surely, 213728928 is an apocalyptic number.

It is an amenable number.

13728928 is an abundant number, since it is smaller than the sum of its proper divisors (14890964).

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

13728928 is a wasteful number, since it uses less digits than its factorization.

13728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25264 (or 25256 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 13728928 is about 3705.2568062147. The cubic root of 13728928 is about 239.4485487081.

The spelling of 13728928 in words is "thirteen million, seven hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 25237 50474 100948 201896 403792 429029 807584 858058 1716116 3432232 6864464 13728928