26112 has 40 divisors (see below), whose sum is σ = 73656. Its totient is φ = 8192.

The previous prime is 26111. The next prime is 26113. The reversal of 26112 is 21162.

It is an interprime number because it is at equal distance from previous prime (26111) and next prime (26113).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 a nialpdrome in base 8, base 14 and base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26111) by changing a digit.

In principle, a polygon with 26112 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1528 + ... + 1544.

2^{26112} 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 26112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

26112 is an abundant number, since it is smaller than the sum of its proper divisors (47544).

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

26112 is an equidigital number, since it uses as much as digits as its factorization.

26112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 22 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 26112 is about 161.5920790138. The cubic root of 26112 is about 29.6674381541.

Adding to 26112 its reverse (21162), we get a palindrome (47274).

Subtracting from 26112 its reverse (21162), we obtain a triangular number (4950 = T_{99}).

The spelling of 26112 in words is "twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 13056 26112

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