Base | Representation |
---|---|
bin | 100100001011… |
… | …111001100000 |
3 | 122211221020101 |
4 | 210023321200 |
5 | 4412022140 |
6 | 535152144 |
7 | 143425513 |
oct | 44137140 |
9 | 18757211 |
10 | 9485920 |
11 | 5399a04 |
12 | 3215654 |
13 | 1c71892 |
14 | 138cd7a |
15 | c7599a |
hex | 90be60 |
9485920 has 48 divisors (see below), whose sum is σ = 22670928. Its totient is φ = 3750400.
The previous prime is 9485911. The next prime is 9485923. The reversal of 9485920 is 295849.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 9485920.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9485923) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15867 + ... + 16453.
It is an arithmetic number, because the mean of its divisors is an integer number (472311).
Almost surely, 29485920 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 9485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335464).
9485920 is an abundant number, since it is smaller than the sum of its proper divisors (13185008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9485920 is a wasteful number, since it uses less digits than its factorization.
9485920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 703 (or 695 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 37.
The square root of 9485920 is about 3079.9220769364. The cubic root of 9485920 is about 211.6864952043.
The spelling of 9485920 in words is "nine million, four hundred eighty-five thousand, nine hundred twenty".
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