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116979968 = 287292251
BaseRepresentation
bin1101111100011…
…11100100000000
322011010012100102
412332033210000
5214421324333
615335141532
72620212320
oct676174400
9264105312
10116979968
1160039866
12332148a8
131b30a421
1411771280
15a40aae8
hex6f8f900

116979968 has 72 divisors (see below), whose sum is σ = 276185280. Its totient is φ = 48384000.

The previous prime is 116979959. The next prime is 116979983. The reversal of 116979968 is 869979611.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50843 + ... + 53093.

Almost surely, 2116979968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138092640).

116979968 is an abundant number, since it is smaller than the sum of its proper divisors (159205312).

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

116979968 is an equidigital number, since it uses as much as digits as its factorization.

116979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 56.

The square root of 116979968 is about 10815.7278072259. The cubic root of 116979968 is about 489.0694096742.

The spelling of 116979968 in words is "one hundred sixteen million, nine hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 2251 3248 3712 4502 6496 7424 9004 12992 15757 18008 25984 31514 36016 51968 63028 65279 72032 126056 130558 144064 252112 261116 288128 456953 504224 522232 576256 913906 1008448 1044464 1827812 2016896 2088928 3655624 4033792 4177856 7311248 8355712 14622496 16711424 29244992 58489984 116979968