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13712960 = 26542853
BaseRepresentation
bin110100010011…
…111001000000
3221210200122102
4310103321000
512002303320
61205525532
7224362322
oct64237100
927720572
1013712960
117816828
1247138a8
132ac18a1
141b6d612
15130d175
hexd13e40

13712960 has 28 divisors (see below), whose sum is σ = 32654748. Its totient is φ = 5485056.

The previous prime is 13712947. The next prime is 13712971. The reversal of 13712960 is 6921731.

It can be written as a sum of positive squares in 2 ways, for example, as 10863616 + 2849344 = 3296^2 + 1688^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21107 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (1166241).

Almost surely, 213712960 is an apocalyptic number.

13712960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13712960 is an abundant number, since it is smaller than the sum of its proper divisors (18941788).

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

13712960 is an equidigital number, since it uses as much as digits as its factorization.

13712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42870 (or 42860 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 13712960 is about 3703.1014028784. The cubic root of 13712960 is about 239.3556791665.

The spelling of 13712960 in words is "thirteen million, seven hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 42853 85706 171412 214265 342824 428530 685648 857060 1371296 1714120 2742592 3428240 6856480 13712960