| Base | Representation |
|---|---|
| bin | 1010010011011… |
| … | …10100010100000 |
| 3 | 20000122101220100 |
| 4 | 11021232202200 |
| 5 | 134111423000 |
| 6 | 12324342400 |
| 7 | 2066460000 |
| oct | 511564240 |
| 9 | 200571810 |
| 10 | 86436000 |
| 11 | 44877712 |
| 12 | 24b44a00 |
| 13 | 14ba4981 |
| 14 | b6a0000 |
| 15 | 78c5a00 |
| hex | 526e8a0 |
86436000 has 360 divisors, whose sum is σ = 357866964. Its totient is φ = 19756800.
The previous prime is 86435989. The next prime is 86436013. The reversal of 86436000 is 63468.
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 can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 28005264 = 7644^2 + 5292^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is an unprimeable number.
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 59 ways as a sum of consecutive naturals, for example, 12347997 + ... + 12348003.
Almost surely, 286436000 is an apocalyptic number.
86436000 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 86436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178933482).
86436000 is an abundant number, since it is smaller than the sum of its proper divisors (271430964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86436000 is an equidigital number, since it uses as much as digits as its factorization.
86436000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 86436000 is about 9297.0963208950. The cubic root of 86436000 is about 442.1451718359.
Adding to 86436000 its reverse (63468), we get a palindrome (86499468).
It can be divided in two parts, 864 and 36000, that added together give a square (36864 = 1922).
The spelling of 86436000 in words is "eighty-six million, four hundred thirty-six thousand".
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