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113502560 = 2553112281
BaseRepresentation
bin1101100001111…
…10100101100000
321220120112020112
412300332211200
5213024040220
615132430452
72545520153
oct660764540
9256515215
10113502560
1159084176
1232018428
131a6906a2
1411107c9a
159e705c5
hex6c3e960

113502560 has 48 divisors (see below), whose sum is σ = 269129952. Its totient is φ = 45235200.

The previous prime is 113502559. The next prime is 113502577. The reversal of 113502560 is 65205311.

It is a super-2 number, since 2×1135025602 = 25765662253107200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48620 + ... + 50900.

It is an arithmetic number, because the mean of its divisors is an integer number (5606874).

Almost surely, 2113502560 is an apocalyptic number.

113502560 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 113502560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134564976).

113502560 is an abundant number, since it is smaller than the sum of its proper divisors (155627392).

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

113502560 is a wasteful number, since it uses less digits than its factorization.

113502560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 113502560 is about 10653.7580224069. The cubic root of 113502560 is about 484.1744698054.

Adding to 113502560 its reverse (65205311), we get a palindrome (178707871).

The spelling of 113502560 in words is "one hundred thirteen million, five hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 311 622 1244 1555 2281 2488 3110 4562 4976 6220 9124 9952 11405 12440 18248 22810 24880 36496 45620 49760 72992 91240 182480 364960 709391 1418782 2837564 3546955 5675128 7093910 11350256 14187820 22700512 28375640 56751280 113502560