Base | Representation |
---|---|
bin | 100101111000… |
… | …011100100000 |
3 | 200200112010100 |
4 | 211320130200 |
5 | 10020234103 |
6 | 552502400 |
7 | 150256656 |
oct | 45703440 |
9 | 20615110 |
10 | 9930528 |
11 | 5672a53 |
12 | 33aaa00 |
13 | 209906a |
14 | 1466dd6 |
15 | d125a3 |
hex | 978720 |
9930528 has 108 divisors (see below), whose sum is σ = 29960658. Its totient is φ = 3118080.
The previous prime is 9930527. The next prime is 9930581. The reversal of 9930528 is 8250399.
It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 3640464 = 2508^2 + 1908^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 9930492 and 9930501.
It is not an unprimeable number, because it can be changed into a prime (9930523) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242188 + ... + 242228.
Almost surely, 29930528 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 9930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980329).
9930528 is an abundant number, since it is smaller than the sum of its proper divisors (20030130).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9930528 is a wasteful number, since it uses less digits than its factorization.
9930528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 9930528 is about 3151.2740280718. The cubic root of 9930528 is about 214.9433995591.
The spelling of 9930528 in words is "nine million, nine hundred thirty thousand, five hundred twenty-eight".
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