Base | Representation |
---|---|
bin | 10000110100011101… |
… | …01101110111010000 |
3 | 212022022112112101102 |
4 | 20122032231313100 |
5 | 121443140000310 |
6 | 4052012123532 |
7 | 436525506563 |
oct | 103216556720 |
9 | 25268475342 |
10 | 9030000080 |
11 | 3914221792 |
12 | 19001665a8 |
13 | b0ba5531a |
14 | 6193c44da |
15 | 37cb558a5 |
hex | 21a3addd0 |
9030000080 has 80 divisors (see below), whose sum is σ = 21482067024. Its totient is φ = 3528744960.
The previous prime is 9030000079. The next prime is 9030000113. The reversal of 9030000080 is 800000309.
9030000080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 2528480656 + 6501519424 = 50284^2 + 80632^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017422 + ... + 1026258.
Almost surely, 29030000080 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 9030000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741033512).
9030000080 is an abundant number, since it is smaller than the sum of its proper divisors (12452066944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9030000080 is a wasteful number, since it uses less digits than its factorization.
9030000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9144 (or 9138 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 9030000080 is about 95026.3125665728. The cubic root of 9030000080 is about 2082.3924701896.
Adding to 9030000080 its reverse (800000309), we get a palindrome (9830000389).
The spelling of 9030000080 in words is "nine billion, thirty million, eighty", and thus it is an aban number and an uban number.
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