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116581608 = 23321113367
BaseRepresentation
bin1101111001011…
…10010011101000
322010100221220100
412330232103220
5214321102413
615322425400
72613633033
oct674562350
9263327810
10116581608
115a897540
1233062260
131b1cb000
14116aa01a
15a37ca73
hex6f2e4e8

116581608 has 192 divisors, whose sum is σ = 378705600. Its totient is φ = 32123520.

The previous prime is 116581603. The next prime is 116581613. The reversal of 116581608 is 806185611.

116581608 is a `hidden beast` number, since 1 + 16 + 581 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116581603) and next prime (116581613).

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

It is not an unprimeable number, because it can be changed into a prime (116581603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739991 + ... + 1740057.

It is an arithmetic number, because the mean of its divisors is an integer number (1972425).

Almost surely, 2116581608 is an apocalyptic number.

116581608 is a gapful number since it is divisible by the number (18) 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 116581608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189352800).

116581608 is an abundant number, since it is smaller than the sum of its proper divisors (262123992).

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

116581608 is a wasteful number, since it uses less digits than its factorization.

116581608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116581608 is about 10797.2963282481. The cubic root of 116581608 is about 488.5136243152.

The spelling of 116581608 in words is "one hundred sixteen million, five hundred eighty-one thousand, six hundred eight".