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13960 = 235349
BaseRepresentation
bin11011010001000
3201011001
43122020
5421320
6144344
755462
oct33210
921131
1013960
11a541
1280b4
13647b
145132
15420a
hex3688

13960 has 16 divisors (see below), whose sum is σ = 31500. Its totient is φ = 5568.

The previous prime is 13933. The next prime is 13963. The reversal of 13960 is 6931.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 36 = 118^2 + 6^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 8 and base 11.

It is not an unprimeable number, because it can be changed into a prime (13963) 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, 135 + ... + 214.

213960 is an apocalyptic number.

13960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13960 is an abundant number, since it is smaller than the sum of its proper divisors (17540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750).

13960 is a wasteful number, since it uses less digits than its factorization.

13960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13960 is about 118.1524439019. The cubic root of 13960 is about 24.0784470104.

The spelling of 13960 in words is "thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960