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116058096 = 24347111163
BaseRepresentation
bin1101110101011…
…10011111110000
322002101100210000
412322232133300
5214202324341
615303310000
72606322540
oct672563760
9262340700
10116058096
115a56a190
1232a4b300
131b07693b
14115b1320
15a2c78b6
hex6eae7f0

116058096 has 200 divisors, whose sum is σ = 419151744. Its totient is φ = 30119040.

The previous prime is 116058083. The next prime is 116058121. The reversal of 116058096 is 690850611.

116058096 is a `hidden beast` number, since 11 + 60 + 580 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116058096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99211 + ... + 100373.

Almost surely, 2116058096 is an apocalyptic number.

116058096 is a gapful number since it is divisible by the number (16) 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 116058096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209575872).

116058096 is an abundant number, since it is smaller than the sum of its proper divisors (303093648).

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

116058096 is a wasteful number, since it uses less digits than its factorization.

116058096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 116058096 is about 10773.0263157573. The cubic root of 116058096 is about 487.7813003729.

It can be divided in two parts, 11605 and 8096, that added together give a triangular number (19701 = T198).

The spelling of 116058096 in words is "one hundred sixteen million, fifty-eight thousand, ninety-six".