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113718528 = 2832711641
BaseRepresentation
bin1101100011100…
…11010100000000
321220222111111100
412301303110000
5213102443103
615141214400
72550406620
oct661632400
9256874440
10113718528
1159211460
1232101400
131a737a91
1411162880
159eb45a3
hex6c73500

113718528 has 216 divisors, whose sum is σ = 409421376. Its totient is φ = 29491200.

The previous prime is 113718523. The next prime is 113718529. The reversal of 113718528 is 825817311.

113718528 is a `hidden beast` number, since 113 + 7 + 18 + 528 = 666.

It is a super-2 number, since 2×1137185282 = 25863807220973568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113718492 and 113718501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113718523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177088 + ... + 177728.

Almost surely, 2113718528 is an apocalyptic number.

113718528 is a gapful number since it is divisible by the number (18) 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 113718528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204710688).

113718528 is an abundant number, since it is smaller than the sum of its proper divisors (295702848).

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

113718528 is a wasteful number, since it uses less digits than its factorization.

113718528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 113718528 is about 10663.8889716651. Note that the first 3 decimals coincide. The cubic root of 113718528 is about 484.4813643239.

The spelling of 113718528 in words is "one hundred thirteen million, seven hundred eighteen thousand, five hundred twenty-eight".