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116470080 = 26325371093
BaseRepresentation
bin1101111000100…
…11000101000000
322010011021220200
412330103011000
5214304020310
615320205200
72612656626
oct674230500
9263137820
10116470080
115a820771
1233009800
131b18c30c
141167b516
15a3599c0
hex6f13140

116470080 has 168 divisors, whose sum is σ = 411812232. Its totient is φ = 30191616.

The previous prime is 116470063. The next prime is 116470099. The reversal of 116470080 is 80074611.

It is a happy number.

116470080 is a `hidden beast` number, since 11 + 647 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69355584 + 47114496 = 8328^2 + 6864^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 106014 + ... + 107106.

Almost surely, 2116470080 is an apocalyptic number.

116470080 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 116470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906116).

116470080 is an abundant number, since it is smaller than the sum of its proper divisors (295342152).

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

116470080 is a wasteful number, since it uses less digits than its factorization.

116470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 116470080 is about 10792.1304662240. The cubic root of 116470080 is about 488.3577954745.

The spelling of 116470080 in words is "one hundred sixteen million, four hundred seventy thousand, eighty".