| Base | Representation |
|---|---|
| bin | 1001101100101… |
| … | …11010010000000 |
| 3 | 12200002111221100 |
| 4 | 10312113102000 |
| 5 | 131312010000 |
| 6 | 12023454400 |
| 7 | 2005356111 |
| oct | 466272200 |
| 9 | 180074840 |
| 10 | 81360000 |
| 11 | 41a1aa77 |
| 12 | 232b7400 |
| 13 | 13b18417 |
| 14 | ab3c208 |
| 15 | 7221a00 |
| hex | 4d97480 |
81360000 has 240 divisors, whose sum is σ = 295147710. Its totient is φ = 21504000.
The previous prime is 81359987. The next prime is 81360001. The reversal of 81360000 is 6318.
It can be written as a sum of positive squares in 5 ways, for example, as 3779136 + 77580864 = 1944^2 + 8808^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (81360001) 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 29 ways as a sum of consecutive naturals, for example, 719944 + ... + 720056.
Almost surely, 281360000 is an apocalyptic number.
81360000 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 81360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147573855).
81360000 is an abundant number, since it is smaller than the sum of its proper divisors (213787710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81360000 is a wasteful number, since it uses less digits than its factorization.
81360000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 81360000 is about 9019.9778270237. The cubic root of 81360000 is about 433.3149236097.
Adding to 81360000 its reverse (6318), we get a palindrome (81366318).
It can be divided in two parts, 81 and 360000, that multiplied together give a square (29160000 = 54002).
The spelling of 81360000 in words is "eighty-one million, three hundred sixty thousand".
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