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113766740 = 22523210753
BaseRepresentation
bin1101100011111…
…11000101010100
321221001221121222
412301333011110
5213111013430
615142225512
72551000313
oct661770524
9257057558
10113766740
11592446aa
1232125298
131a7539c9
141117627a
159ec39e5
hex6c7f154

113766740 has 36 divisors (see below), whose sum is σ = 249772404. Its totient is φ = 43524096.

The previous prime is 113766733. The next prime is 113766761. The reversal of 113766740 is 47667311.

It can be written as a sum of positive squares in 2 ways, for example, as 79637776 + 34128964 = 8924^2 + 5842^2 .

It is a super-2 number, since 2×1137667402 = 25885742260455200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113766740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5204 + ... + 15956.

Almost surely, 2113766740 is an apocalyptic number.

113766740 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 113766740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124886202).

113766740 is an abundant number, since it is smaller than the sum of its proper divisors (136005664).

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

113766740 is a wasteful number, since it uses less digits than its factorization.

113766740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 113766740 is about 10666.1492582844. The cubic root of 113766740 is about 484.5498214048.

The spelling of 113766740 in words is "one hundred thirteen million, seven hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 10580 10753 21506 43012 53765 107530 215060 247319 494638 989276 1236595 2473190 4946380 5688337 11376674 22753348 28441685 56883370 113766740