Base | Representation |
---|---|
bin | 100010010101… |
… | …111111011010 |
3 | 121221101202100 |
4 | 202111333122 |
5 | 4301043340 |
6 | 520544230 |
7 | 136344504 |
oct | 42257732 |
9 | 17841670 |
10 | 9002970 |
11 | 509a079 |
12 | 3022076 |
13 | 1b32b02 |
14 | 12a4d74 |
15 | bcc830 |
hex | 895fda |
9002970 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2382432.
The previous prime is 9002969. The next prime is 9002977. The reversal of 9002970 is 792009.
9002970 is a modest number, since divided by 2970 gives 900 as remainder.
It is not an unprimeable number, because it can be changed into a prime (9002977) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14731 + ... + 15329.
It is an arithmetic number, because the mean of its divisors is an integer number (491400).
Almost surely, 29002970 is an apocalyptic number.
9002970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 9002970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).
9002970 is an abundant number, since it is smaller than the sum of its proper divisors (14584230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9002970 is a wasteful number, since it uses less digits than its factorization.
9002970 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 779 (or 776 counting only the distinct ones).
The product of its (nonzero) digits is 1134, while the sum is 27.
The square root of 9002970 is about 3000.4949591692. The cubic root of 9002970 is about 208.0312607108.
Adding to 9002970 its reverse (792009), we get a palindrome (9794979).
The spelling of 9002970 in words is "nine million, two thousand, nine hundred seventy".
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