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14931 = 33779
BaseRepresentation
bin11101001010011
3202111000
43221103
5434211
6153043
761350
oct35123
922430
1014931
1110244
128783
136a47
145627
154656
hex3a53

14931 has 16 divisors (see below), whose sum is σ = 25600. Its totient is φ = 8424.

The previous prime is 14929. The next prime is 14939. The reversal of 14931 is 13941.

It is not a de Polignac number, because 14931 - 21 = 14929 is a prime.

It is a super-2 number, since 2×149312 = 445869522, which contains 22 as substring.

It is a Duffinian number.

14931 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14931.

It is not an unprimeable number, because it can be changed into a prime (14939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (1600).

214931 is an apocalyptic number.

14931 is a deficient number, since it is larger than the sum of its proper divisors (10669).

14931 is an equidigital number, since it uses as much as digits as its factorization.

14931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 14931 is about 122.1924711265. The cubic root of 14931 is about 24.6242473595.

Subtracting from 14931 its reverse (13941), we obtain a triangular number (990 = T44).

The spelling of 14931 in words is "fourteen thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 79 189 237 553 711 1659 2133 4977 14931