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116247768 = 2337131731101
BaseRepresentation
bin1101110110111…
…00110011011000
322002201222221220
412323130303120
5214224412033
615311332040
72611042530
oct673346330
9262658856
10116247768
115a68973a
1232b21020
131b112080
14116204c0
15a313bb3
hex6edccd8

116247768 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 27648000.

The previous prime is 116247767. The next prime is 116247787. The reversal of 116247768 is 867742611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116247767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150918 + ... + 1151018.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2116247768 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 116247768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

116247768 is an abundant number, since it is smaller than the sum of its proper divisors (278565672).

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

116247768 is a wasteful number, since it uses less digits than its factorization.

116247768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 116247768 is about 10781.8258194055. The cubic root of 116247768 is about 488.0468802942.

The spelling of 116247768 in words is "one hundred sixteen million, two hundred forty-seven thousand, seven hundred sixty-eight".