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14418 = 23489
BaseRepresentation
bin11100001010010
3201210000
43201102
5430133
6150430
760015
oct34122
921700
1014418
11a918
128416
136741
14537c
154413
hex3852

14418 has 20 divisors (see below), whose sum is σ = 32670. Its totient is φ = 4752.

The previous prime is 14411. The next prime is 14419. The reversal of 14418 is 81441.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 729 = 117^2 + 27^2 .

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14418.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14418.

It is not an unprimeable number, because it can be changed into a prime (14411) by changing a digit.

14418 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 118 + ... + 206.

214418 is an apocalyptic number.

14418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335).

14418 is an abundant number, since it is smaller than the sum of its proper divisors (18252).

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

14418 is an equidigital number, since it uses as much as digits as its factorization.

14418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 14418 is about 120.0749765771. The cubic root of 14418 is about 24.3389407648.

Subtracting from 14418 its sum of digits (18), we obtain a square (14400 = 1202).

Adding to 14418 its reverse (81441), we get a palindrome (95859).

The spelling of 14418 in words is "fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1602 2403 4806 7209 14418