| Base | Representation |
|---|---|
| bin | 1010010001000… |
| … | …00100111000000 |
| 3 | 20000001012001010 |
| 4 | 11020200213000 |
| 5 | 134021214200 |
| 6 | 12313440520 |
| 7 | 2063660250 |
| oct | 510404700 |
| 9 | 200035033 |
| 10 | 86116800 |
| 11 | 44679910 |
| 12 | 24a10140 |
| 13 | 14ac25b3 |
| 14 | b619960 |
| 15 | 7861150 |
| hex | 52209c0 |
86116800 has 336 divisors, whose sum is σ = 353763072. Its totient is φ = 17817600.
The previous prime is 86116799. The next prime is 86116837. The reversal of 86116800 is 861168.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×861168002 = 14832206484480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369484 + ... + 369716.
Almost surely, 286116800 is an apocalyptic number.
86116800 is a gapful number since it is divisible by the number (80) 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 86116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).
86116800 is an abundant number, since it is smaller than the sum of its proper divisors (267646272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86116800 is a wasteful number, since it uses less digits than its factorization.
86116800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 276 (or 261 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 30.
The square root of 86116800 is about 9279.9137927030. The cubic root of 86116800 is about 441.6002336693.
Adding to 86116800 its reverse (861168), we get a palindrome (86977968).
Multiplying 86116800 by its reverse (861168), we get a square (74161032422400 = 86116802).
86116800 divided by its reverse (861168) gives a square (100 = 102).
It can be divided in two parts, 86 and 116800, that added together give a triangular number (116886 = T483).
The spelling of 86116800 in words is "eighty-six million, one hundred sixteen thousand, eight hundred".
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