112896 has 81 divisors (see below), whose sum is σ = 378651. Its totient is φ = 32256.

The previous prime is 112877. The next prime is 112901. The reversal of 112896 is 698211.

112896 = T_{335} + T_{336}.

The square root of 112896 is 336.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (864) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is an unprimeable number.

112896 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 8 ways as a sum of consecutive naturals, for example, 16125 + ... + 16131.

112896 is a Friedman number, since it can be written as (8*6*(9-1-1))^2, using all its digits and the basic arithmetic operations.

2^{112896} is an apocalyptic number.

112896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112896 is the 336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112896

112896 is an abundant number, since it is smaller than the sum of its proper divisors (265755).

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

112896 is an equidigital number, since it uses as much as digits as its factorization.

112896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The cubic root of 112896 is about 48.3310449438.

The spelling of 112896 in words is "one hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 576 588 672 768 784 882 896 1008 1152 1176 1344 1568 1764 1792 2016 2304 2352 2688 3136 3528 4032 4704 5376 6272 7056 8064 9408 12544 14112 16128 18816 28224 37632 56448 112896

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