Base | Representation |
---|---|
bin | 1000100101101… |
… | …0111001100000 |
3 | 2111210012111200 |
4 | 2021122321200 |
5 | 33210231104 |
6 | 3324041200 |
7 | 615124650 |
oct | 211327140 |
9 | 74705450 |
10 | 36023904 |
11 | 19375324 |
12 | 10093200 |
13 | 7603b27 |
14 | 4ada360 |
15 | 3268b39 |
hex | 225ae60 |
36023904 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 10135296.
The previous prime is 36023893. The next prime is 36023917. The reversal of 36023904 is 40932063.
It is a tau number, because it is divible by the number of its divisors (144).
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 23 ways as a sum of consecutive naturals, for example, 215629 + ... + 215795.
It is an arithmetic number, because the mean of its divisors is an integer number (825552).
Almost surely, 236023904 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).
36023904 is an abundant number, since it is smaller than the sum of its proper divisors (82855584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36023904 is a wasteful number, since it uses less digits than its factorization.
36023904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 297 (or 286 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
The square root of 36023904 is about 6001.9916694377. The cubic root of 36023904 is about 330.2657913762.
Adding to 36023904 its reverse (40932063), we get a palindrome (76955967).
The spelling of 36023904 in words is "thirty-six million, twenty-three thousand, nine hundred four".
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