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18135 = 3251331
BaseRepresentation
bin100011011010111
3220212200
410123113
51040020
6215543
7103605
oct43327
926780
1018135
1112697
12a5b3
138340
146875
155590
hex46d7

18135 has 24 divisors (see below), whose sum is σ = 34944. Its totient is φ = 8640.

The previous prime is 18133. The next prime is 18143. The reversal of 18135 is 53181.

It can be divided in two parts, 181 and 35, that added together give a cube (216 = 63).

It is a happy number.

It is not a de Polignac number, because 18135 - 21 = 18133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

218135 is an apocalyptic number.

18135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18135 is a deficient number, since it is larger than the sum of its proper divisors (16809).

18135 is a wasteful number, since it uses less digits than its factorization.

18135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 18135 is about 134.6662541248. Note that the first 3 decimals coincide. The cubic root of 18135 is about 26.2727693597.

The spelling of 18135 in words is "eighteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135