Base | Representation |
---|---|
bin | 100010010101… |
… | …010001011000 |
3 | 121221020201020 |
4 | 202111101120 |
5 | 4301000044 |
6 | 520522440 |
7 | 136333065 |
oct | 42252130 |
9 | 17836636 |
10 | 9000024 |
11 | 5097940 |
12 | 3020420 |
13 | 1b31677 |
14 | 12a3c6c |
15 | bcba19 |
hex | 895458 |
9000024 has 64 divisors (see below), whose sum is σ = 24935040. Its totient is φ = 2684160.
The previous prime is 9000011. The next prime is 9000041. The reversal of 9000024 is 4200009.
It is a junction number, because it is equal to n+sod(n) for n = 8999967 and 9000012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19039 + ... + 19505.
It is an arithmetic number, because the mean of its divisors is an integer number (389610).
Almost surely, 29000024 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 9000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467520).
9000024 is an abundant number, since it is smaller than the sum of its proper divisors (15935016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9000024 is a wasteful number, since it uses less digits than its factorization.
9000024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 560 (or 556 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 9000024 is about 3000.0039999973. The cubic root of 9000024 is about 208.0085672014.
Subtracting from 9000024 its sum of digits (15), we obtain a palindrome (9000009).
The spelling of 9000024 in words is "nine million, twenty-four", and thus it is an aban number.
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