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116113536 = 27327211217
BaseRepresentation
bin1101110101111…
…00000010000000
322002111011211100
412322330002000
5214211113121
615304414400
72606643300
oct672740200
9262434740
10116113536
115a5a7900
1232a77400
131b095c46
14115c7600
15a2d9026
hex6ebc080

116113536 has 432 divisors, whose sum is σ = 452358270. Its totient is φ = 28385280.

The previous prime is 116113523. The next prime is 116113537. The reversal of 116113536 is 635311611.

116113536 is a `hidden beast` number, since 1 + 16 + 113 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 30735936 = 9240^2 + 5544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116113537) 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 53 ways as a sum of consecutive naturals, for example, 6830200 + ... + 6830216.

Almost surely, 2116113536 is an apocalyptic number.

116113536 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 116113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226179135).

116113536 is an abundant number, since it is smaller than the sum of its proper divisors (336244734).

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

116113536 is a wasteful number, since it uses less digits than its factorization.

116113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 116113536 is about 10775.5991016741. The cubic root of 116113536 is about 487.8589577168.

The spelling of 116113536 in words is "one hundred sixteen million, one hundred thirteen thousand, five hundred thirty-six".