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13904 = 241179
BaseRepresentation
bin11011001010000
3201001222
43121100
5421104
6144212
755352
oct33120
921058
1013904
11a4a0
128068
136437
1450d2
1541be
hex3650

13904 has 20 divisors (see below), whose sum is σ = 29760. Its totient is φ = 6240.

The previous prime is 13903. The next prime is 13907. The reversal of 13904 is 40931.

13904 = T12 + T13 + ... + T43.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901) 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, 137 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

213904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

13904 is an abundant number, since it is smaller than the sum of its proper divisors (15856).

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

13904 is a wasteful number, since it uses less digits than its factorization.

13904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13904 is about 117.9152237839. The cubic root of 13904 is about 24.0462072762.

The spelling of 13904 in words is "thirteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904