Search a number
13900 = 2252139

13900 has 18 divisors (see below), whose sum is σ = 30380. Its totient is φ = 5520.

The previous prime is 13883. The next prime is 13901. The reversal of 13900 is 931.

It is a happy number.

13900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 5 and base 13.

It is not an unprimeable number, because it can be changed into a prime (13901) by changing a digit.

13900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31 + ... + 169.

213900 is an apocalyptic number.

13900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190).

13900 is an abundant number, since it is smaller than the sum of its proper divisors (16480).

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

13900 is a wasteful number, since it uses less digits than its factorization.

13900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13900 is about 117.8982612255. The cubic root of 13900 is about 24.0439011280.

The spelling of 13900 in words is "thirteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 13900