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113312040 = 23351098663
BaseRepresentation
bin1101100000100…
…00000100101000
321220012211220020
412300100010220
5213001441130
615124400440
72544064542
oct660200450
9256184806
10113312040
1158a64016
1231b46120
131a624a5a
1411098692
159e33e10
hex6c10128

113312040 has 64 divisors (see below), whose sum is σ = 343094400. Its totient is φ = 29935872.

The previous prime is 113312027. The next prime is 113312047. The reversal of 113312040 is 40213311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113312047) 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, 8749 + ... + 17411.

It is an arithmetic number, because the mean of its divisors is an integer number (5360850).

Almost surely, 2113312040 is an apocalyptic number.

113312040 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 113312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171547200).

113312040 is an abundant number, since it is smaller than the sum of its proper divisors (229782360).

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

113312040 is a wasteful number, since it uses less digits than its factorization.

113312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113312040 is about 10644.8128212759. The cubic root of 113312040 is about 483.9034140078.

Adding to 113312040 its reverse (40213311), we get a palindrome (153525351).

The spelling of 113312040 in words is "one hundred thirteen million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 8663 13080 17326 25989 34652 43315 51978 69304 86630 103956 129945 173260 207912 259890 346520 519780 944267 1039560 1888534 2832801 3777068 4721335 5665602 7554136 9442670 11331204 14164005 18885340 22662408 28328010 37770680 56656020 113312040