Base | Representation |
---|---|
bin | 1000110010000010110000 |
3 | 11022221221000 |
4 | 20302002300 |
5 | 1042132003 |
6 | 121202000 |
7 | 25365513 |
oct | 10620260 |
9 | 4287830 |
10 | 2302128 |
11 | 1332694 |
12 | 930300 |
13 | 627b0a |
14 | 43cd7a |
15 | 3071a3 |
hex | 2320b0 |
2302128 has 60 divisors (see below), whose sum is σ = 6699720. Its totient is φ = 756864.
The previous prime is 2302117. The next prime is 2302151. The reversal of 2302128 is 8212032.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an Ulam number.
It is a self number, because there is not a number n which added to its sum of digits gives 2302128.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31500 + ... + 31572.
It is an arithmetic number, because the mean of its divisors is an integer number (111662).
22302128 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 2302128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349860).
2302128 is an abundant number, since it is smaller than the sum of its proper divisors (4397592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302128 is an equidigital number, since it uses as much as digits as its factorization.
2302128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2302128 is about 1517.2765074303. The cubic root of 2302128 is about 132.0413093849.
Multiplying 2302128 by its product of nonzero digits (192), we get a square (442008576 = 210242).
The spelling of 2302128 in words is "two million, three hundred two thousand, one hundred twenty-eight".
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