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116717760 = 263551979
BaseRepresentation
bin1101111010011…
…11100011000000
322010121212200000
412331033203000
5214334432020
615325400000
72615041005
oct675174300
9263555600
10116717760
115a97a865
1233109000
131b247c83
14117038ac
15a3a8090
hex6f4f8c0

116717760 has 336 divisors, whose sum is σ = 443788800. Its totient is φ = 29113344.

The previous prime is 116717747. The next prime is 116717773. The reversal of 116717760 is 67717611.

It is an interprime number because it is at equal distance from previous prime (116717747) and next prime (116717773).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477401 + ... + 1477479.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 2116717760 is an apocalyptic number.

116717760 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 116717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

116717760 is an abundant number, since it is smaller than the sum of its proper divisors (327071040).

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

116717760 is an equidigital number, since it uses as much as digits as its factorization.

116717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 116717760 is about 10803.5994001999. The cubic root of 116717760 is about 488.7037235725.

The spelling of 116717760 in words is "one hundred sixteen million, seven hundred seventeen thousand, seven hundred sixty".