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24112 = 2411137

24112 has 20 divisors (see below), whose sum is σ = 51336. Its totient is φ = 10880.

The previous prime is 24109. The next prime is 24113. The reversal of 24112 is 21142.

24112 is nontrivially palindromic in base 15.

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

It is not an unprimeable number, because it can be changed into a prime (24113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 244.

224112 is an apocalyptic number.

24112 is a gapful number since it is divisible by the number (22) 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 24112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668).

24112 is an abundant number, since it is smaller than the sum of its proper divisors (27224).

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

24112 is a wasteful number, since it uses less digits than its factorization.

24112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 24112 is about 155.2803915503. The cubic root of 24112 is about 28.8897917754.

Adding to 24112 its reverse (21142), we get a palindrome (45254).

It can be divided in two parts, 241 and 12, that added together give a triangular number (253 = T22).

The spelling of 24112 in words is "twenty-four thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 1096 1507 2192 3014 6028 12056 24112