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113785568 = 2513436361
BaseRepresentation
bin1101100100000…
…11101011100000
321221002220110022
412302003223200
5213112114233
615142453012
72551106231
oct662035340
9257086408
10113785568
1159257866
1232134168
131a75c450
141117d088
159ec9398
hex6c83ae0

113785568 has 48 divisors (see below), whose sum is σ = 246896496. Its totient is φ = 51287040.

The previous prime is 113785561. The next prime is 113785591. The reversal of 113785568 is 865587311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113785561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14708 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (5143677).

Almost surely, 2113785568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123448248).

113785568 is an abundant number, since it is smaller than the sum of its proper divisors (133110928).

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

113785568 is a wasteful number, since it uses less digits than its factorization.

113785568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6419 counting only the distinct ones).

The product of its digits is 201600, while the sum is 44.

The square root of 113785568 is about 10667.0318270829. The cubic root of 113785568 is about 484.5765503673.

The spelling of 113785568 in words is "one hundred thirteen million, seven hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 6361 8944 12722 17888 25444 50888 82693 101776 165386 203552 273523 330772 547046 661544 1094092 1323088 2188184 2646176 3555799 4376368 7111598 8752736 14223196 28446392 56892784 113785568