Search a number
BaseRepresentation
bin11100011010000
3201221200
43203100
5431134
6151200
760255
oct34320
921850
1014544
11aa22
128500
13680a
14542c
154499
hex38d0

14544 has 30 divisors (see below), whose sum is σ = 41106. Its totient is φ = 4800.

The previous prime is 14543. The next prime is 14549. The reversal of 14544 is 44541.

14544 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 144 = 120^2 + 12^2 .

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

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 11 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14544.

It is not an unprimeable number, because it can be changed into a prime (14543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 194.

214544 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 14544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553).

14544 is an abundant number, since it is smaller than the sum of its proper divisors (26562).

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

14544 is a wasteful number, since it uses less digits than its factorization.

14544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 14544 is about 120.5985074535. The cubic root of 14544 is about 24.4096351807.

14544 divided by its sum of digits (18) gives a palindrome (808).

Multiplying 14544 by its reverse (44541), we get a square (647804304 = 254522).

The spelling of 14544 in words is "fourteen thousand, five hundred forty-four".