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13923 = 3271317
BaseRepresentation
bin11011001100011
3201002200
43121203
5421143
6144243
755410
oct33143
921080
1013923
11a508
128083
136450
145107
1541d3
hex3663

13923 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 6912.

The previous prime is 13921. The next prime is 13931. The reversal of 13923 is 32931.

13923 is nontrivially palindromic in base 16.

It is a Cunningham number, because it is equal to 1182-1.

It is not a de Polignac number, because 13923 - 21 = 13921 is a prime.

It is a D-number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13896 and 13905.

It is not an unprimeable number, because it can be changed into a prime (13921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

213923 is an apocalyptic number.

13923 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13923 is a deficient number, since it is larger than the sum of its proper divisors (12285).

13923 is a wasteful number, since it uses less digits than its factorization.

13923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 40 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 13923 is about 117.9957626358. The cubic root of 13923 is about 24.0571554442.

The spelling of 13923 in words is "thirteen thousand, nine hundred twenty-three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923