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116494560 = 253257213127
BaseRepresentation
bin1101111000110…
…01000011100000
322010012112111100
412330121003200
5214310311220
615320514400
72613121200
oct674310340
9263175440
10116494560
115a8380a6
123301ba00
131b19a4c0
1411686400
15a361d90
hex6f190e0

116494560 has 432 divisors, whose sum is σ = 501935616. Its totient is φ = 24385536.

The previous prime is 116494519. The next prime is 116494561. The reversal of 116494560 is 65494611.

116494560 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 94 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116494561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917217 + ... + 917343.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2116494560 is an apocalyptic number.

116494560 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 116494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

116494560 is an abundant number, since it is smaller than the sum of its proper divisors (385441056).

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

116494560 is a wasteful number, since it uses less digits than its factorization.

116494560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 116494560 is about 10793.2645663858. The cubic root of 116494560 is about 488.3920078701.

The spelling of 116494560 in words is "one hundred sixteen million, four hundred ninety-four thousand, five hundred sixty".