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112360 = 235532
BaseRepresentation
bin11011011011101000
312201010111
4123123220
512043420
62224104
7645403
oct333350
9181114
10112360
1177466
1255034
133c1b1
142cd3a
152345a
hex1b6e8

112360 has 24 divisors (see below), whose sum is σ = 257670. Its totient is φ = 44096.

The previous prime is 112349. The next prime is 112361. The reversal of 112360 is 63211.

It can be written as a sum of positive squares in 3 ways, for example, as 106276 + 6084 = 326^2 + 78^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 112360.

It is not an unprimeable number, because it can be changed into a prime (112361) by changing a digit.

112360 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 5 ways as a sum of consecutive naturals, for example, 2094 + ... + 2146.

2112360 is an apocalyptic number.

112360 is a gapful number since it is divisible by the number (10) 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 112360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835).

112360 is an abundant number, since it is smaller than the sum of its proper divisors (145310).

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

112360 is an equidigital number, since it uses as much as digits as its factorization.

112360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 112360 is about 335.2014319778. The cubic root of 112360 is about 48.2544359529.

Adding to 112360 its reverse (63211), we get a palindrome (175571).

The spelling of 112360 in words is "one hundred twelve thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2809 5618 11236 14045 22472 28090 56180 112360