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113560040 = 23511614231
BaseRepresentation
bin1101100010011…
…00100111101000
321220200110002102
412301030213220
5213032410130
615133552532
72546146556
oct661144750
9256613072
10113560040
1159113380
1232045748
131a6b08b9
1411120bd6
159e82645
hex6c4c9e8

113560040 has 64 divisors (see below), whose sum is σ = 283374720. Its totient is φ = 40608000.

The previous prime is 113559991. The next prime is 113560043. The reversal of 113560040 is 40065311.

113560040 = T1899 + T1900 + ... + T1959.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113559994 and 113560021.

It is not an unprimeable number, because it can be changed into a prime (113560043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24725 + ... + 28955.

It is an arithmetic number, because the mean of its divisors is an integer number (4427730).

Almost surely, 2113560040 is an apocalyptic number.

113560040 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 113560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141687360).

113560040 is an abundant number, since it is smaller than the sum of its proper divisors (169814680).

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

113560040 is a wasteful number, since it uses less digits than its factorization.

113560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 113560040 is about 10656.4553206026. The cubic root of 113560040 is about 484.2561879385.

The spelling of 113560040 in words is "one hundred thirteen million, five hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 4231 5368 6710 8462 13420 16924 21155 26840 33848 42310 46541 84620 93082 169240 186164 232705 258091 372328 465410 516182 930820 1032364 1290455 1861640 2064728 2580910 2839001 5161820 5678002 10323640 11356004 14195005 22712008 28390010 56780020 113560040