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116837760 = 27351331151
BaseRepresentation
bin1101111011011…
…00110110000000
322010211222021110
412331230312000
5214402302020
615332123320
72616050604
oct675546600
9263758243
10116837760
115aa51a36
1233166540
131b28a790
1411735504
15a3cd8e0
hex6f6cd80

116837760 has 256 divisors, whose sum is σ = 416747520. Its totient is φ = 27648000.

The previous prime is 116837717. The next prime is 116837789. The reversal of 116837760 is 67738611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773685 + ... + 773835.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2116837760 is an apocalyptic number.

116837760 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 116837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

116837760 is an abundant number, since it is smaller than the sum of its proper divisors (299909760).

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

116837760 is a wasteful number, since it uses less digits than its factorization.

116837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 116837760 is about 10809.1516780920. The cubic root of 116837760 is about 488.8711484227.

The spelling of 116837760 in words is "one hundred sixteen million, eight hundred thirty-seven thousand, seven hundred sixty".