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113075560 = 235131012153
BaseRepresentation
bin1101011110101…
…10010101101000
321212202211111201
412233112111220
5212421404220
615115333544
72542061233
oct657262550
9255684451
10113075560
1158912384
1231a512b4
131a571220
141103641a
159dd8d0a
hex6bd6568

113075560 has 64 divisors (see below), whose sum is σ = 276832080. Its totient is φ = 41318400.

The previous prime is 113075549. The next prime is 113075591. The reversal of 113075560 is 65570311.

It can be written as a sum of positive squares in 8 ways, for example, as 31606884 + 81468676 = 5622^2 + 9026^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51444 + ... + 53596.

Almost surely, 2113075560 is an apocalyptic number.

113075560 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 113075560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138416040).

113075560 is an abundant number, since it is smaller than the sum of its proper divisors (163756520).

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

113075560 is a wasteful number, since it uses less digits than its factorization.

113075560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 113075560 is about 10633.6992622511. The cubic root of 113075560 is about 483.5665472500.

The spelling of 113075560 in words is "one hundred thirteen million, seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2153 2626 4040 4306 5252 6565 8612 10504 10765 13130 17224 21530 26260 27989 43060 52520 55978 86120 111956 139945 217453 223912 279890 434906 559780 869812 1087265 1119560 1739624 2174530 2826889 4349060 5653778 8698120 11307556 14134445 22615112 28268890 56537780 113075560