Base | Representation |
---|---|
bin | 1001110100011… |
… | …01011000000000 |
3 | 12201222201122200 |
4 | 10322031120000 |
5 | 132041234000 |
6 | 12101233200 |
7 | 2020054641 |
oct | 472153000 |
9 | 181881580 |
10 | 82368000 |
11 | 42549330 |
12 | 23702800 |
13 | 140ac180 |
14 | ad216c8 |
15 | 7370500 |
hex | 4e8d600 |
82368000 has 480 divisors, whose sum is σ = 348540192. Its totient is φ = 18432000.
The previous prime is 82367993. The next prime is 82368001. The reversal of 82368000 is 86328.
82368000 = T89 + T90 + ... + T790.
It is a tau number, because it is divible by the number of its divisors (480).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82368001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335994 + ... + 6336006.
Almost surely, 282368000 is an apocalyptic number.
82368000 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 82368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).
82368000 is an abundant number, since it is smaller than the sum of its proper divisors (266172192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82368000 is a wasteful number, since it uses less digits than its factorization.
82368000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 82368000 is about 9075.6817925707. The cubic root of 82368000 is about 435.0970849497.
The spelling of 82368000 in words is "eighty-two million, three hundred sixty-eight thousand".
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