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116006508 = 22325954617
BaseRepresentation
bin1101110101000…
…01111001101100
322002021202000100
412322201321230
5214144202013
615302231100
72606016252
oct672417154
9262252010
10116006508
115a534452
1232a25490
131b059307
141159a5d2
15a2b7473
hex6ea1e6c

116006508 has 36 divisors (see below), whose sum is σ = 298214280. Its totient is φ = 38012736.

The previous prime is 116006491. The next prime is 116006509. The reversal of 116006508 is 805600611.

116006508 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 0 + 650 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (116006509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25185 + ... + 29432.

It is an arithmetic number, because the mean of its divisors is an integer number (8283730).

Almost surely, 2116006508 is an apocalyptic number.

116006508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116006508 is an abundant number, since it is smaller than the sum of its proper divisors (182207772).

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

116006508 is a wasteful number, since it uses less digits than its factorization.

116006508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54686 (or 54681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116006508 is about 10770.6317363468. The cubic root of 116006508 is about 487.7090164854.

The spelling of 116006508 in words is "one hundred sixteen million, six thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 54617 109234 163851 218468 327702 491553 655404 983106 1966212 3222403 6444806 9667209 12889612 19334418 29001627 38668836 58003254 116006508