Search a number
-
+
9018 = 233167
BaseRepresentation
bin10001100111010
3110101000
42030322
5242033
6105430
735202
oct21472
913330
109018
116859
125276
134149
143402
152a13
hex233a

9018 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2988.

The previous prime is 9013. The next prime is 9029. The reversal of 9018 is 8109.

9018 is digitally balanced in base 2, 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).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9011) 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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

9018 is an abundant number, since it is smaller than the sum of its proper divisors (11142).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

9018 is a wasteful number, since it uses less digits than its factorization.

9018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

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

The square root of 9018 is about 94.9631507481. The cubic root of 9018 is about 20.8146962214.

Subtracting from 9018 its reverse (8109), we obtain a palindrome (909).

It can be divided in two parts, 901 and 8, that added together give a palindrome (909).

The spelling of 9018 in words is "nine thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 167 334 501 1002 1503 3006 4509 9018