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13624 = 2313131
BaseRepresentation
bin11010100111000
3200200121
43110320
5413444
6143024
754502
oct32470
920617
1013624
11a266
127a74
136280
144d72
154084
hex3538

13624 has 16 divisors (see below), whose sum is σ = 27720. Its totient is φ = 6240.

The previous prime is 13619. The next prime is 13627. The reversal of 13624 is 42631.

13624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136242 = 371226752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13598 and 13607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 39 + ... + 169.

213624 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 13624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860).

13624 is an abundant number, since it is smaller than the sum of its proper divisors (14096).

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

13624 is a wasteful number, since it uses less digits than its factorization.

13624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 13624 is about 116.7218916913. The cubic root of 13624 is about 23.8836965660.

The spelling of 13624 in words is "thirteen thousand, six hundred twenty-four".