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190112 = 2513457
BaseRepresentation
bin101110011010100000
3100122210012
4232122200
522040422
64024052
71421156
oct563240
9318705
10190112
1111a91a
1292028
13686c0
144d3d6
153b4e2
hex2e6a0

190112 has 24 divisors (see below), whose sum is σ = 403956. Its totient is φ = 87552.

The previous prime is 190097. The next prime is 190121. The reversal of 190112 is 211091.

190112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 16 = 436^2 + 4^2 .

It is a super-2 number, since 2×1901122 = 72285145088, which contains 22 as substring.

It is an unprimeable number.

190112 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, 188 + ... + 644.

2190112 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 190112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201978).

190112 is an abundant number, since it is smaller than the sum of its proper divisors (213844).

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

190112 is a wasteful number, since it uses less digits than its factorization.

190112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 190112 is about 436.0183482378. The cubic root of 190112 is about 57.5002646491.

The spelling of 190112 in words is "one hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 457 914 1828 3656 5941 7312 11882 14624 23764 47528 95056 190112