Base | Representation |
---|---|
bin | 100111000000… |
… | …101101100000 |
3 | 201020120011022 |
4 | 213000231200 |
5 | 10104222103 |
6 | 1003105012 |
7 | 152631644 |
oct | 47005540 |
9 | 21216138 |
10 | 10226528 |
11 | 5855384 |
12 | 3512168 |
13 | 2170a00 |
14 | 1502c24 |
15 | d70138 |
hex | 9c0b60 |
10226528 has 72 divisors (see below), whose sum is σ = 22873536. Its totient is φ = 4492800.
The previous prime is 10226521. The next prime is 10226539. The reversal of 10226528 is 82562201.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 10226497 and 10226506.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10226521) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167618 + ... + 167678.
It is an arithmetic number, because the mean of its divisors is an integer number (317688).
Almost surely, 210226528 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 10226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436768).
10226528 is an abundant number, since it is smaller than the sum of its proper divisors (12647008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10226528 is a wasteful number, since it uses less digits than its factorization.
10226528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 107 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 26.
The square root of 10226528 is about 3197.8943071965. The cubic root of 10226528 is about 217.0581367163.
Adding to 10226528 its reverse (82562201), we get a palindrome (92788729).
The spelling of 10226528 in words is "ten million, two hundred twenty-six thousand, five hundred twenty-eight".
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