Base | Representation |
---|---|
bin | 1101110101101… |
… | …00100100010000 |
3 | 22002102121212220 |
4 | 12322310210100 |
5 | 214204123320 |
6 | 15304021040 |
7 | 2606455200 |
oct | 672644420 |
9 | 262377786 |
10 | 116082960 |
11 | 5a586934 |
12 | 32a61780 |
13 | 1b085056 |
14 | 115ba400 |
15 | a2cee40 |
hex | 6eb4910 |
116082960 has 120 divisors (see below), whose sum is σ = 418651776. Its totient is φ = 26530560.
The previous prime is 116082959. The next prime is 116082961. The reversal of 116082960 is 69280611.
It is an interprime number because it is at equal distance from previous prime (116082959) and next prime (116082961).
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (116082961) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825 + ... + 16695.
Almost surely, 2116082960 is an apocalyptic number.
116082960 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 116082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209325888).
116082960 is an abundant number, since it is smaller than the sum of its proper divisors (302568816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116082960 is a wasteful number, since it uses less digits than its factorization.
116082960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9901 (or 9888 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 33.
The square root of 116082960 is about 10774.1802472392. The cubic root of 116082960 is about 487.8161315729.
The spelling of 116082960 in words is "one hundred sixteen million, eighty-two thousand, nine hundred sixty".
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