Base | Representation |
---|---|
bin | 1101111001100… |
… | …11000010000000 |
3 | 22010101221110002 |
4 | 12330303002000 |
5 | 214322212320 |
6 | 15323055132 |
7 | 2614043330 |
oct | 674630200 |
9 | 263357402 |
10 | 116600960 |
11 | 5a900033 |
12 | 330714a8 |
13 | 1b206a68 |
14 | 116b30c0 |
15 | a383675 |
hex | 6f33080 |
116600960 has 128 divisors (see below), whose sum is σ = 337530240. Its totient is φ = 37601280.
The previous prime is 116600927. The next prime is 116600963. The reversal of 116600960 is 69006611.
It is a tau number, because it is divible by the number of its divisors (128).
It is not an unprimeable number, because it can be changed into a prime (116600963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75395 + ... + 76925.
It is an arithmetic number, because the mean of its divisors is an integer number (2636955).
Almost surely, 2116600960 is an apocalyptic number.
116600960 is a gapful number since it is divisible by the number (10) 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 116600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168765120).
116600960 is an abundant number, since it is smaller than the sum of its proper divisors (220929280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116600960 is a wasteful number, since it uses less digits than its factorization.
116600960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 29.
The square root of 116600960 is about 10798.1924413302. The cubic root of 116600960 is about 488.5406531430.
The spelling of 116600960 in words is "one hundred sixteen million, six hundred thousand, nine hundred sixty".
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