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113568 = 2537132
BaseRepresentation
bin11011101110100000
312202210020
4123232200
512113233
62233440
7652050
oct335640
9182706
10113568
1178364
1255880
133c900
142d560
15239b3
hex1bba0

113568 has 72 divisors (see below), whose sum is σ = 368928. Its totient is φ = 29952.

The previous prime is 113567. The next prime is 113591. The reversal of 113568 is 865311.

Adding to 113568 its reverse (865311), we get a palindrome (978879).

It is a Cunningham number, because it is equal to 3372-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (113567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8730 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2113568 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 113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464).

113568 is an abundant number, since it is smaller than the sum of its proper divisors (255360).

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

113568 is a wasteful number, since it uses less digits than its factorization.

113568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 113568 is about 336.9985163172. The cubic root of 113568 is about 48.4267502333.

The spelling of 113568 in words is "one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 113568