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113160040 = 23572771459
BaseRepresentation
bin1101011111010…
…10111101101000
321212221010101121
412233222331220
5212432110130
615121225024
72542562440
oct657527550
9255833347
10113160040
115896a8a4
1231a92174
131a5a0806
1411059120
159e03d7a
hex6beaf68

113160040 has 64 divisors (see below), whose sum is σ = 292233600. Its totient is φ = 38631168.

The previous prime is 113160037. The next prime is 113160043. The reversal of 113160040 is 40061311.

It is an interprime number because it is at equal distance from previous prime (113160037) and next prime (113160043).

It is a junction number, because it is equal to n+sod(n) for n = 113159996 and 113160023.

It is not an unprimeable number, because it can be changed into a prime (113160043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76831 + ... + 78289.

It is an arithmetic number, because the mean of its divisors is an integer number (4566150).

Almost surely, 2113160040 is an apocalyptic number.

113160040 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 113160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146116800).

113160040 is an abundant number, since it is smaller than the sum of its proper divisors (179073560).

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

113160040 is a wasteful number, since it uses less digits than its factorization.

113160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113160040 is about 10637.6707976887. The cubic root of 113160040 is about 483.6869432417.

The spelling of 113160040 in words is "one hundred thirteen million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1385 1459 1939 2216 2770 2918 3878 5540 5836 7295 7756 9695 10213 11080 11672 14590 15512 19390 20426 29180 38780 40852 51065 58360 77560 81704 102130 204260 404143 408520 808286 1616572 2020715 2829001 3233144 4041430 5658002 8082860 11316004 14145005 16165720 22632008 28290010 56580020 113160040