Base | Representation |
---|---|
bin | 1000100101010… |
… | …1000111011000 |
3 | 2111202000000100 |
4 | 2021111013120 |
5 | 33204001331 |
6 | 3323335400 |
7 | 614665620 |
oct | 211250730 |
9 | 74660010 |
10 | 36000216 |
11 | 1935954a |
12 | 10081560 |
13 | 75c6105 |
14 | 4ad1880 |
15 | 3261ae6 |
hex | 22551d8 |
36000216 has 48 divisors (see below), whose sum is σ = 111430800. Its totient is φ = 10285632.
The previous prime is 36000199. The next prime is 36000227. The reversal of 36000216 is 61200063.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 35211 + ... + 36218.
It is an arithmetic number, because the mean of its divisors is an integer number (2321475).
Almost surely, 236000216 is an apocalyptic number.
36000216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
36000216 is an abundant number, since it is smaller than the sum of its proper divisors (75430584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000216 is a wasteful number, since it uses less digits than its factorization.
36000216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71448 (or 71441 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 36000216 is about 6000.0179999730. The cubic root of 36000216 is about 330.1933852736.
Subtracting from 36000216 its product of nonzero digits (216), we obtain a square (36000000 = 60002).
Adding to 36000216 its reverse (61200063), we get a palindrome (97200279).
The spelling of 36000216 in words is "thirty-six million, two hundred sixteen", and thus it is an aban number.
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