18090 has 32 divisors (see below), whose sum is σ = 48960. Its totient is φ = 4752.

The previous prime is 18089. The next prime is 18097. The reversal of 18090 is 9081.

Subtracting from 18090 its reverse (9081), we obtain a palindrome (9009).

18090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

18090 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (18097) 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 15 ways as a sum of consecutive naturals, for example, 237 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2^{18090} is an apocalyptic number.

18090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 134×135.

It is a practical number, because each smaller number is the sum of distinct divisors of 18090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480).

18090 is an abundant number, since it is smaller than the sum of its proper divisors (30870).

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

18090 is a wasteful number, since it uses less digits than its factorization.

18090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 18090 is about 134.4990706288. The cubic root of 18090 is about 26.2510203685.

The spelling of 18090 in words is "eighteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 3015 3618 6030 9045 18090

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