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112305136 = 2423793863
BaseRepresentation
bin1101011000110…
…10001111110000
321211022200200111
412230122033300
5212222231021
615051031104
72532402136
oct654321760
9254280614
10112305136
1158436569
123173b494
131a361658
1410cb5756
159cd58e1
hex6b1a3f0

112305136 has 40 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 53017536.

The previous prime is 112305131. The next prime is 112305187. The reversal of 112305136 is 631503211.

It is a happy number.

It is a super-2 number, since 2×1123051362 = 25224887143956992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112305131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27141 + ... + 31003.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2112305136 is an apocalyptic number.

112305136 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 112305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

112305136 is an abundant number, since it is smaller than the sum of its proper divisors (117680144).

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

112305136 is a wasteful number, since it uses less digits than its factorization.

112305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 112305136 is about 10597.4117594817. The cubic root of 112305136 is about 482.4658065919.

Adding to 112305136 its reverse (631503211), we get a palindrome (743808347).

The spelling of 112305136 in words is "one hundred twelve million, three hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 79 92 158 184 316 368 632 1264 1817 3634 3863 7268 7726 14536 15452 29072 30904 61808 88849 177698 305177 355396 610354 710792 1220708 1421584 2441416 4882832 7019071 14038142 28076284 56152568 112305136