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112398 = 231113131
BaseRepresentation
bin11011011100001110
312201011220
4123130032
512044043
62224210
7645456
oct333416
9181156
10112398
11774a0
1255066
133c210
142cd66
1523483
hex1b70e

112398 has 32 divisors (see below), whose sum is σ = 266112. Its totient is φ = 31200.

The previous prime is 112397. The next prime is 112403. The reversal of 112398 is 893211.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2112398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

112398 is an abundant number, since it is smaller than the sum of its proper divisors (153714).

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

112398 is a wasteful number, since it uses less digits than its factorization.

112398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its digits is 432, while the sum is 24.

The square root of 112398 is about 335.2581095216. The cubic root of 112398 is about 48.2598752014.

It can be divided in two parts, 1123 and 98, that added together give a palindrome (1221).

The spelling of 112398 in words is "one hundred twelve thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 131 143 262 286 393 429 786 858 1441 1703 2882 3406 4323 5109 8646 10218 18733 37466 56199 112398