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116720640 = 21032517149
BaseRepresentation
bin1101111010100…
…00010000000000
322010122000121200
412331100100000
5214340030030
615325421200
72615052261
oct675202000
9263560550
10116720640
115a981a43
123310a800
131b24938a
1411704968
15a3a8d60
hex6f50400

116720640 has 264 divisors, whose sum is σ = 431098200. Its totient is φ = 29097984.

The previous prime is 116720627. The next prime is 116720689. The reversal of 116720640 is 46027611.

116720640 is a `hidden beast` number, since 1 + 16 + 7 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 109495296 = 2688^2 + 10464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783286 + ... + 783434.

Almost surely, 2116720640 is an apocalyptic number.

116720640 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 116720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215549100).

116720640 is an abundant number, since it is smaller than the sum of its proper divisors (314377560).

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

116720640 is a wasteful number, since it uses less digits than its factorization.

116720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116720640 is about 10803.7326882888. The cubic root of 116720640 is about 488.7077431126.

The spelling of 116720640 in words is "one hundred sixteen million, seven hundred twenty thousand, six hundred forty".