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13880928 = 253144593
BaseRepresentation
bin110100111100…
…111001100000
3222010020001110
4310330321200
512023142203
61213303320
7225662115
oct64747140
928106043
1013880928
117920a46
124794b40
132b50189
141bb490c
151342d03
hexd3ce60

13880928 has 24 divisors (see below), whose sum is σ = 36437688. Its totient is φ = 4626944.

The previous prime is 13880927. The next prime is 13880929. The reversal of 13880928 is 82908831.

13880928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13880927) and next prime (13880929).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72201 + ... + 72392.

It is an arithmetic number, because the mean of its divisors is an integer number (1518237).

Almost surely, 213880928 is an apocalyptic number.

It is an amenable number.

13880928 is an abundant number, since it is smaller than the sum of its proper divisors (22556760).

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

13880928 is a wasteful number, since it uses less digits than its factorization.

13880928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144606 (or 144598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13880928 is about 3725.7117440833. The cubic root of 13880928 is about 240.3289932527.

The spelling of 13880928 in words is "thirteen million, eight hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 144593 289186 433779 578372 867558 1156744 1735116 2313488 3470232 4626976 6940464 13880928