Search a number
-
+
18084 = 22311137
BaseRepresentation
bin100011010100100
3220210210
410122210
51034314
6215420
7103503
oct43244
926723
1018084
1112650
12a570
138301
14683a
155559
hex46a4

18084 has 24 divisors (see below), whose sum is σ = 46368. Its totient is φ = 5440.

The previous prime is 18077. The next prime is 18089. The reversal of 18084 is 48081.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 18084.

It is not an unprimeable number, because it can be changed into a prime (18089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1932).

218084 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 18084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184).

18084 is an abundant number, since it is smaller than the sum of its proper divisors (28284).

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

18084 is a wasteful number, since it uses less digits than its factorization.

18084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18084 is about 134.4767637921. The cubic root of 18084 is about 26.2481177789.

The spelling of 18084 in words is "eighteen thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 18084