Base | Representation |
---|---|
bin | 11110110010011100000 |
3 | 1220020220100 |
4 | 3312103200 |
5 | 224240424 |
6 | 33342400 |
7 | 11401203 |
oct | 3662340 |
9 | 1806810 |
10 | 1008864 |
11 | 629a7a |
12 | 407a00 |
13 | 29427c |
14 | 1c393a |
15 | 14ddc9 |
hex | f64e0 |
1008864 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 322560.
The previous prime is 1008863. The next prime is 1008871. The reversal of 1008864 is 4688001.
1008864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1008863) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8872 + ... + 8984.
It is an arithmetic number, because the mean of its divisors is an integer number (41496).
21008864 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 1008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).
1008864 is an abundant number, since it is smaller than the sum of its proper divisors (1978848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1008864 is a wasteful number, since it uses less digits than its factorization.
1008864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 1008864 is about 1004.4222219764. The cubic root of 1008864 is about 100.2945979350.
The spelling of 1008864 in words is "one million, eight thousand, eight hundred sixty-four".
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