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113342800 = 24521791583
BaseRepresentation
bin1101100000101…
…11100101010000
321220021102002111
412300113211100
5213003432200
615125155104
72544253324
oct660274520
9256242074
10113342800
1158a8513a
1231b5ba94
131a635a5c
14110a5984
159e3d0ba
hex6c17950

113342800 has 60 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 45055360.

The previous prime is 113342777. The next prime is 113342821. The reversal of 113342800 is 8243311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70809 + ... + 72391.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2113342800 is an apocalyptic number.

113342800 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 113342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

113342800 is an abundant number, since it is smaller than the sum of its proper divisors (160657520).

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

113342800 is a wasteful number, since it uses less digits than its factorization.

113342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 113342800 is about 10646.2575584099. The cubic root of 113342800 is about 483.9471972995.

The spelling of 113342800 in words is "one hundred thirteen million, three hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1583 1790 2864 3166 3580 4475 6332 7160 7915 8950 12664 14320 15830 17900 25328 31660 35800 39575 63320 71600 79150 126640 158300 283357 316600 566714 633200 1133428 1416785 2266856 2833570 4533712 5667140 7083925 11334280 14167850 22668560 28335700 56671400 113342800