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112976 = 2423307
BaseRepresentation
bin11011100101010000
312201222022
4123211100
512103401
62231012
7650243
oct334520
9181868
10112976
1177976
1255468
133c566
142d25a
152371b
hex1b950

112976 has 20 divisors (see below), whose sum is σ = 229152. Its totient is φ = 53856.

The previous prime is 112967. The next prime is 112979. The reversal of 112976 is 679211.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112976.

It is not an unprimeable number, because it can be changed into a prime (112979) by changing a digit.

112976 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 3 ways as a sum of consecutive naturals, for example, 215 + ... + 521.

2112976 is an apocalyptic number.

112976 is a gapful number since it is divisible by the number (16) 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 112976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

112976 is an abundant number, since it is smaller than the sum of its proper divisors (116176).

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

112976 is a wasteful number, since it uses less digits than its factorization.

112976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 756, while the sum is 26.

The square root of 112976 is about 336.1190265367. The cubic root of 112976 is about 48.3424583115.

The spelling of 112976 in words is "one hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 307 368 614 1228 2456 4912 7061 14122 28244 56488 112976