| Base | Representation |
|---|---|
| bin | 1101111010010… |
| … | …00011011011000 |
| 3 | 22010120101200000 |
| 4 | 12331020123120 |
| 5 | 214333013400 |
| 6 | 15325013000 |
| 7 | 2614560000 |
| oct | 675103330 |
| 9 | 263511600 |
| 10 | 116688600 |
| 11 | 5a95a966 |
| 12 | 330b4160 |
| 13 | 1b237912 |
| 14 | 116d7000 |
| 15 | a39e600 |
| hex | 6f486d8 |
116688600 has 360 divisors, whose sum is σ = 474097260. Its totient is φ = 26671680.
The previous prime is 116688599. The next prime is 116688601. The reversal of 116688600 is 6886611.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (116688599) and next prime (116688601).
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (116688601) by changing a digit.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16669797 + ... + 16669803.
Almost surely, 2116688600 is an apocalyptic number.
116688600 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 116688600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237048630).
116688600 is an abundant number, since it is smaller than the sum of its proper divisors (357408660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116688600 is an frugal number, since it uses more digits than its factorization.
116688600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 116688600 is about 10802.2497656738. The cubic root of 116688600 is about 488.6630220046.
Multiplying 116688600 by its product of nonzero digits (13824), we get a square (1613103206400 = 12700802).
The spelling of 116688600 in words is "one hundred sixteen million, six hundred eighty-eight thousand, six hundred".
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