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116705280 = 2113529131
BaseRepresentation
bin1101111010011…
…00100000000000
322010121020112210
412331030200000
5214334032110
615325222120
72614656426
oct675144000
9263536483
10116705280
115a97144a
1233101940
131b2423a3
14116dd116
15a3a4520
hex6f4c800

116705280 has 192 divisors, whose sum is σ = 389188800. Its totient is φ = 29818880.

The previous prime is 116705269. The next prime is 116705291. The reversal of 116705280 is 82507611.

It is an interprime number because it is at equal distance from previous prime (116705269) and next prime (116705291).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890815 + ... + 890945.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2116705280 is an apocalyptic number.

116705280 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 116705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

116705280 is an abundant number, since it is smaller than the sum of its proper divisors (272483520).

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

116705280 is a wasteful number, since it uses less digits than its factorization.

116705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 116705280 is about 10803.0217994781. The cubic root of 116705280 is about 488.6863048013.

The spelling of 116705280 in words is "one hundred sixteen million, seven hundred five thousand, two hundred eighty".