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13916 = 227271
BaseRepresentation
bin11011001011100
3201002102
43121130
5421131
6144232
755400
oct33134
921072
1013916
11a501
128078
136446
145100
1541cb
hex365c

13916 has 18 divisors (see below), whose sum is σ = 28728. Its totient is φ = 5880.

The previous prime is 13913. The next prime is 13921. The reversal of 13916 is 61931.

It can be divided in two parts, 13 and 916, that added together give a palindrome (929).

13916 is nontrivially palindromic in base 13.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161 + ... + 231.

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

213916 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 13916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

13916 is an abundant number, since it is smaller than the sum of its proper divisors (14812).

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

13916 is a wasteful number, since it uses less digits than its factorization.

13916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 13916 is about 117.9660968245. The cubic root of 13916 is about 24.0531230681.

The spelling of 13916 in words is "thirteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 3479 6958 13916