Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
18744 = 2331171
BaseRepresentation
bin100100100111000
3221201020
410210320
51044434
6222440
7105435
oct44470
927636
1018744
11130a0
12aa20
1386bb
146b8c
155849
hex4938

18744 has 32 divisors (see below), whose sum is σ = 51840. Its totient is φ = 5600.

The previous prime is 18743. The next prime is 18749. The reversal of 18744 is 44781.

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

It is a nialpdrome in base 12.

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 7 ways as a sum of consecutive naturals, for example, 229 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

18744 is a Friedman number, since it can be written as 71*(8+4^4), using all its digits and the basic arithmetic operations.

218744 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 18744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

18744 is an abundant number, since it is smaller than the sum of its proper divisors (33096).

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

18744 is a wasteful number, since it uses less digits than its factorization.

18744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 18744 is about 136.9087287210. The cubic root of 18744 is about 26.5636301711.

It can be divided in two parts, 187 and 44, that multiplied together give a palindrome (8228).

The spelling of 18744 in words is "eighteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 18744