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94112 = 2517173
BaseRepresentation
bin10110111110100000
311210002122
4112332200
511002422
62003412
7541244
oct267640
9153078
1094112
1164787
1246568
1333ab5
1426424
151cd42
hex16fa0

94112 has 24 divisors (see below), whose sum is σ = 197316. Its totient is φ = 44032.

The previous prime is 94111. The next prime is 94117. The reversal of 94112 is 21149.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 13456 = 284^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 94112.

It is not an unprimeable number, because it can be changed into a prime (94111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458 + ... + 630.

294112 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 94112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98658).

94112 is an abundant number, since it is smaller than the sum of its proper divisors (103204).

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

94112 is a wasteful number, since it uses less digits than its factorization.

94112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 94112 is about 306.7767918210. The cubic root of 94112 is about 45.4864106259.

The spelling of 94112 in words is "ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 173 272 346 544 692 1384 2768 2941 5536 5882 11764 23528 47056 94112