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116936640 = 26325192137
BaseRepresentation
bin1101111100001…
…00111111000000
322011000222220200
412332010333000
5214413433030
615334205200
72616642102
oct676047700
9264028820
10116936640
116000a257
12331b3800
131b2c37a2
141175d572
15a3ecd60
hex6f84fc0

116936640 has 168 divisors, whose sum is σ = 423580560. Its totient is φ = 29528064.

The previous prime is 116936629. The next prime is 116936707. The reversal of 116936640 is 46639611.

116936640 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116936595 and 116936604.

It is a congruent number.

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, 53652 + ... + 55788.

Almost surely, 2116936640 is an apocalyptic number.

116936640 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 116936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211790280).

116936640 is an abundant number, since it is smaller than the sum of its proper divisors (306643920).

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

116936640 is a wasteful number, since it uses less digits than its factorization.

116936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 116936640 is about 10813.7246127317. The cubic root of 116936640 is about 489.0090203713.

The spelling of 116936640 in words is "one hundred sixteen million, nine hundred thirty-six thousand, six hundred forty".