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113160 = 23352341
BaseRepresentation
bin11011101000001000
312202020010
4123220020
512110120
62231520
7650625
oct335010
9182203
10113160
1178023
12555a0
133c678
142d34c
15237e0
hex1ba08

113160 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 28160.

The previous prime is 113159. The next prime is 113161. The reversal of 113160 is 61311.

It is an interprime number because it is at equal distance from previous prime (113159) and next prime (113161).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113160.

It is not an unprimeable number, because it can be changed into a prime (113161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2113160 is an apocalyptic number.

113160 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 113160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

113160 is an abundant number, since it is smaller than the sum of its proper divisors (249720).

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

113160 is a wasteful number, since it uses less digits than its factorization.

113160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113160 is about 336.3926277432. The cubic root of 113160 is about 48.3686886250.

Adding to 113160 its reverse (61311), we get a palindrome (174471).

The spelling of 113160 in words is "one hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2760 2829 3772 4715 4920 5658 7544 9430 11316 14145 18860 22632 28290 37720 56580 113160