Base | Representation |
---|---|
bin | 100110111111… |
… | …001100101000 |
3 | 201020020122200 |
4 | 212333030220 |
5 | 10104022303 |
6 | 1003020200 |
7 | 152604606 |
oct | 46771450 |
9 | 21206580 |
10 | 10220328 |
11 | 5850758 |
12 | 350a660 |
13 | 216ac41 |
14 | 1500876 |
15 | d6d3a3 |
hex | 9bf328 |
10220328 has 96 divisors (see below), whose sum is σ = 30201600. Its totient is φ = 3110400.
The previous prime is 10220323. The next prime is 10220339. The reversal of 10220328 is 82302201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 10220328.
It is not an unprimeable number, because it can be changed into a prime (10220323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42288 + ... + 42528.
It is an arithmetic number, because the mean of its divisors is an integer number (314600).
Almost surely, 210220328 is an apocalyptic number.
10220328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10220328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100800).
10220328 is an abundant number, since it is smaller than the sum of its proper divisors (19981272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10220328 is a wasteful number, since it uses less digits than its factorization.
10220328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 296 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 10220328 is about 3196.9247723398. The cubic root of 10220328 is about 217.0142628325.
Adding to 10220328 its reverse (82302201), we get a palindrome (92522529).
The spelling of 10220328 in words is "ten million, two hundred twenty thousand, three hundred twenty-eight".
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