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13737696 = 253720443
BaseRepresentation
bin110100011001…
…111011100000
3221211221120120
4310121323200
512004101241
61210240240
7224524410
oct64317340
927757516
1013737696
117833375
124726080
132accc1b
141b78640
151315666
hexd19ee0

13737696 has 48 divisors (see below), whose sum is σ = 41215104. Its totient is φ = 3924864.

The previous prime is 13737679. The next prime is 13737697. The reversal of 13737696 is 69673731.

13737696 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13737697) 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, 9550 + ... + 10893.

It is an arithmetic number, because the mean of its divisors is an integer number (858648).

Almost surely, 213737696 is an apocalyptic number.

13737696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13737696 is an abundant number, since it is smaller than the sum of its proper divisors (27477408).

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

13737696 is a wasteful number, since it uses less digits than its factorization.

13737696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20463 (or 20455 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 13737696 is about 3706.4398012109. The cubic root of 13737696 is about 239.4995125825.

The spelling of 13737696 in words is "thirteen million, seven hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20443 40886 61329 81772 122658 143101 163544 245316 286202 327088 429303 490632 572404 654176 858606 981264 1144808 1717212 1962528 2289616 3434424 4579232 6868848 13737696