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18740 = 225937
BaseRepresentation
bin100100100110100
3221201002
410210310
51044430
6222432
7105431
oct44464
927632
1018740
1113097
12aa18
1386b7
146b88
155845
hex4934

18740 has 12 divisors (see below), whose sum is σ = 39396. Its totient is φ = 7488.

The previous prime is 18731. The next prime is 18743. The reversal of 18740 is 4781.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 15376 = 58^2 + 124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 937 = 18740 / (1 + 8 + 7 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (3283).

218740 is an apocalyptic number.

18740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18740 is an abundant number, since it is smaller than the sum of its proper divisors (20656).

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 (19698).

18740 is a wasteful number, since it uses less digits than its factorization.

18740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 18740 is about 136.8941196692. The cubic root of 18740 is about 26.5617404627.

The spelling of 18740 in words is "eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 937 1874 3748 4685 9370 18740