14112 has 54 divisors (see below), whose sum is σ = 46683. Its totient is φ = 4032.

The previous prime is 14107. The next prime is 14143. The reversal of 14112 is 21141.

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.

14112 is nontrivially palindromic in base 11.

14112 is an esthetic number in base 13, because in such base it adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 7056 = 84^2 + 84^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=84.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a nialpdrome in base 12 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 14094 and 14103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2013 + ... + 2019.

2^{14112} is an apocalyptic number.

14112 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 14112

14112 is an abundant number, since it is smaller than the sum of its proper divisors (32571).

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

14112 is a wasteful number, since it uses less digits than its factorization.

14112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 12 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 14112 is about 118.7939392393. The cubic root of 14112 is about 24.1655224719.

The spelling of 14112 in words is "fourteen thousand, one hundred twelve", and is thus an iban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112

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