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113785536 = 2631095437
BaseRepresentation
bin1101100100000…
…11101011000000
321221002220102010
412302003223000
5213112114121
615142452520
72551106154
oct662035300
9257086363
10113785536
1159257837
1232134140
131a75c427
141117d064
159ec9376
hex6c83ac0

113785536 has 56 divisors (see below), whose sum is σ = 303875440. Its totient is φ = 37573632.

The previous prime is 113785519. The next prime is 113785561. The reversal of 113785536 is 635587311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113785494 and 113785503.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18210 + ... + 23646.

Almost surely, 2113785536 is an apocalyptic number.

113785536 is a gapful number since it is divisible by the number (16) 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 113785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151937720).

113785536 is an abundant number, since it is smaller than the sum of its proper divisors (190089904).

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

113785536 is a wasteful number, since it uses less digits than its factorization.

113785536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5551 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 113785536 is about 10667.0303271342. The cubic root of 113785536 is about 484.5765049414.

The spelling of 113785536 in words is "one hundred thirteen million, seven hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 5437 6976 10464 10874 16311 20928 21748 32622 43496 65244 86992 130488 173984 260976 347968 521952 592633 1043904 1185266 1777899 2370532 3555798 4741064 7111596 9482128 14223192 18964256 28446384 37928512 56892768 113785536