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113696040 = 23357312979
BaseRepresentation
bin1101100011011…
…01110100101000
321220221100122110
412301231310220
5213101233130
615140522320
72550254223
oct661556450
9256840573
10113696040
11591a6577
12320b03a0
131a72a783
14111585ba
159eacab0
hex6c6dd28

113696040 has 64 divisors (see below), whose sum is σ = 345787200. Its totient is φ = 29901312.

The previous prime is 113696027. The next prime is 113696041. The reversal of 113696040 is 40696311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113695989 and 113696007.

It is not an unprimeable number, because it can be changed into a prime (113696041) 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, 2271 + ... + 15249.

It is an arithmetic number, because the mean of its divisors is an integer number (5402925).

Almost surely, 2113696040 is an apocalyptic number.

113696040 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 113696040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172893600).

113696040 is an abundant number, since it is smaller than the sum of its proper divisors (232091160).

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

113696040 is a wasteful number, since it uses less digits than its factorization.

113696040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 113696040 is about 10662.8345199576. The cubic root of 113696040 is about 484.4494265932.

The spelling of 113696040 in words is "one hundred thirteen million, six hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 12979 25958 38937 51916 64895 77874 103832 129790 155748 194685 259580 311496 389370 519160 778740 947467 1557480 1894934 2842401 3789868 4737335 5684802 7579736 9474670 11369604 14212005 18949340 22739208 28424010 37898680 56848020 113696040