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18936 = 2332263
BaseRepresentation
bin100100111111000
3221222100
410213320
51101221
6223400
7106131
oct44770
927870
1018936
1113255
12ab60
138808
146c88
155926
hex49f8

18936 has 24 divisors (see below), whose sum is σ = 51480. Its totient is φ = 6288.

The previous prime is 18919. The next prime is 18947. The reversal of 18936 is 63981.

It can be divided in two parts, 189 and 36, that added together give a square (225 = 152).

18936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

18936 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 5 ways as a sum of consecutive naturals, for example, 60 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (2145).

218936 is an apocalyptic number.

It is an amenable number.

18936 is an abundant number, since it is smaller than the sum of its proper divisors (32544).

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

18936 is a wasteful number, since it uses less digits than its factorization.

18936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 18936 is about 137.6081392942. The cubic root of 18936 is about 26.6540217827.

The spelling of 18936 in words is "eighteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 1052 1578 2104 2367 3156 4734 6312 9468 18936