18432 has 36 divisors (see below), whose sum is σ = 53235. Its totient is φ = 6144.

The previous prime is 18427. The next prime is 18433. The reversal of 18432 is 23481.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (2!)^{5}.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 9216 = 96^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=96.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 18432.

It is not an unprimeable number, because it can be changed into a prime (18433) by changing a digit.

18432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6143 + 6144 + 6145.

18432 is a Friedman number, since it can be written as 18*4^(3+2), using all its digits and the basic arithmetic operations.

2^{18432} is an apocalyptic number.

18432 is a gapful number since it is divisible by the number (12) 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 18432

18432 is an abundant number, since it is smaller than the sum of its proper divisors (34803).

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

18432 is an equidigital number, since it uses as much as digits as its factorization.

18432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 5 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 18432 is about 135.7645019878. The cubic root of 18432 is about 26.4154179912.

Multiplying 18432 by its sum of digits (18), we get a 4-th power (331776 = 24^{4}).

18432 divided by its sum of digits (18) gives a 10-th power (1024 = 2^{10}).

It can be divided in two parts, 184 and 32, that added together give a cube (216 = 6^{3}).

The spelling of 18432 in words is "eighteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432

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