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14916 = 22311113
BaseRepresentation
bin11101001000100
3202110110
43221010
5434131
6153020
761326
oct35104
922413
1014916
1110230
128770
136a35
145616
154646
hex3a44

14916 has 24 divisors (see below), whose sum is σ = 38304. Its totient is φ = 4480.

The previous prime is 14897. The next prime is 14923. The reversal of 14916 is 61941.

14916 is an undulating number in base 15.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 14892 and 14901.

It is an unprimeable number.

14916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

214916 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 14916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152).

14916 is an abundant number, since it is smaller than the sum of its proper divisors (23388).

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

14916 is a wasteful number, since it uses less digits than its factorization.

14916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 14916 is about 122.1310771262. The cubic root of 14916 is about 24.6159985824.

Multiplying 14916 by its sum of digits (21), we get a triangular number (313236 = T791).

The spelling of 14916 in words is "fourteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 14916