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113700726 = 23317211587
BaseRepresentation
bin1101100011011…
…10111101110110
321220221121002000
412301232331312
5213101410401
615141000130
72550303666
oct661567566
9256847060
10113700726
11591aa047
12320b3046
131a72c949
141115a1a6
159eae186
hex6c6ef76

113700726 has 64 divisors (see below), whose sum is σ = 269256960. Its totient is φ = 35441280.

The previous prime is 113700721. The next prime is 113700737. The reversal of 113700726 is 627007311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113700726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113700721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193405 + ... + 193991.

It is an arithmetic number, because the mean of its divisors is an integer number (4207140).

Almost surely, 2113700726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113700726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

113700726 is an abundant number, since it is smaller than the sum of its proper divisors (155556234).

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

113700726 is a wasteful number, since it uses less digits than its factorization.

113700726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 113700726 is about 10663.0542528865. The cubic root of 113700726 is about 484.4560820547.

The spelling of 113700726 in words is "one hundred thirteen million, seven hundred thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 306 422 459 587 633 918 1174 1266 1761 1899 3522 3587 3798 5283 5697 7174 9979 10566 10761 11394 15849 19958 21522 29937 31698 32283 59874 64566 89811 96849 123857 179622 193698 247714 269433 371571 538866 743142 1114713 2105569 2229426 3344139 4211138 6316707 6688278 12633414 18950121 37900242 56850363 113700726