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18960 = 243579
BaseRepresentation
bin100101000010000
3222000020
410220100
51101320
6223440
7106164
oct45020
928006
1018960
1113277
12ab80
138826
146ca4
155940
hex4a10

18960 has 40 divisors (see below), whose sum is σ = 59520. Its totient is φ = 4992.

The previous prime is 18959. The next prime is 18973. The reversal of 18960 is 6981.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

218960 is an apocalyptic number.

18960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

18960 is an abundant number, since it is smaller than the sum of its proper divisors (40560).

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

18960 is a wasteful number, since it uses less digits than its factorization.

18960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 18960 is about 137.6953158245. The cubic root of 18960 is about 26.6652777054.

Subtracting from 18960 its product of nonzero digits (432), we obtain a triangular number (18528 = T192).

The spelling of 18960 in words is "eighteen thousand, nine hundred sixty".