Search a number
-
+
18036 = 2233167

18036 has 24 divisors (see below), whose sum is σ = 47040. Its totient is φ = 5976.

The previous prime is 18013. The next prime is 18041. The reversal of 18036 is 63081.

It can be divided in two parts, 180 and 36, that added together give a cube (216 = 63).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 25 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

218036 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 18036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520).

18036 is an abundant number, since it is smaller than the sum of its proper divisors (29004).

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

18036 is a wasteful number, since it uses less digits than its factorization.

18036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18036 is about 134.2981757136. The cubic root of 18036 is about 26.2248739166.

The spelling of 18036 in words is "eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 3006 4509 6012 9018 18036