Base | Representation |
---|---|
bin | 1101110111010… |
… | …00100100110000 |
3 | 22002211110002200 |
4 | 12323220210300 |
5 | 214232432414 |
6 | 15312343200 |
7 | 2611333230 |
oct | 673504460 |
9 | 262743080 |
10 | 116295984 |
11 | 5a711992 |
12 | 32b44b00 |
13 | 1b12acbc |
14 | 11633cc0 |
15 | a323109 |
hex | 6ee8930 |
116295984 has 120 divisors (see below), whose sum is σ = 375621792. Its totient is φ = 32901120.
The previous prime is 116295983. The next prime is 116296007. The reversal of 116295984 is 489592611.
116295984 is a `hidden beast` number, since 11 + 629 + 5 + 9 + 8 + 4 = 666.
It is a zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (116295983) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 113394 + ... + 114414.
Almost surely, 2116295984 is an apocalyptic number.
116295984 is a gapful number since it is divisible by the number (14) 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 116295984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810896).
116295984 is an abundant number, since it is smaller than the sum of its proper divisors (259325808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116295984 is a wasteful number, since it uses less digits than its factorization.
116295984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).
The product of its digits is 155520, while the sum is 45.
The square root of 116295984 is about 10784.0615725245. The cubic root of 116295984 is about 488.1143465809.
The spelling of 116295984 in words is "one hundred sixteen million, two hundred ninety-five thousand, nine hundred eighty-four".
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