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116805768 = 23319318263
BaseRepresentation
bin1101111011001…
…01000010001000
322010210100101120
412331211002020
5214400241033
615331315240
72615555412
oct675450210
9263710346
10116805768
115aa2a9a2
123314bb20
131b279051
14117279b2
15a3c41b3
hex6f65088

116805768 has 64 divisors (see below), whose sum is σ = 317337600. Its totient is φ = 35691840.

The previous prime is 116805743. The next prime is 116805769. The reversal of 116805768 is 867508611.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116805769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10005 + ... + 18267.

It is an arithmetic number, because the mean of its divisors is an integer number (4958400).

Almost surely, 2116805768 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 116805768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158668800).

116805768 is an abundant number, since it is smaller than the sum of its proper divisors (200531832).

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

116805768 is a wasteful number, since it uses less digits than its factorization.

116805768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 116805768 is about 10807.6717196628. The cubic root of 116805768 is about 488.8265241691.

The spelling of 116805768 in words is "one hundred sixteen million, eight hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 8263 14136 16526 24789 33052 49578 66104 99156 156997 198312 256153 313994 470991 512306 627988 768459 941982 1024612 1255976 1536918 1883964 2049224 3073836 3767928 4866907 6147672 9733814 14600721 19467628 29201442 38935256 58402884 116805768