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13955920 = 2451115859
BaseRepresentation
bin110101001111…
…001101010000
3222021000220221
4311033031100
512033042140
61215042424
7226423546
oct65171520
928230827
1013955920
117972320
124810414
132b78354
141bd3d96
15135a14a
hexd4f350

13955920 has 40 divisors (see below), whose sum is σ = 35399520. Its totient is φ = 5074560.

The previous prime is 13955911. The next prime is 13955957. The reversal of 13955920 is 2955931.

It is a happy number.

13955920 is digitally balanced in base 2, because in such base 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7050 + ... + 8809.

It is an arithmetic number, because the mean of its divisors is an integer number (884988).

Almost surely, 213955920 is an apocalyptic number.

13955920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13955920 is an abundant number, since it is smaller than the sum of its proper divisors (21443600).

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

13955920 is a wasteful number, since it uses less digits than its factorization.

13955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15883 (or 15877 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 13955920 is about 3735.7623050724. The cubic root of 13955920 is about 240.7610103059.

The spelling of 13955920 in words is "thirteen million, nine hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15859 31718 63436 79295 126872 158590 174449 253744 317180 348898 634360 697796 872245 1268720 1395592 1744490 2791184 3488980 6977960 13955920