Base | Representation |
---|---|
bin | 11001000100100… |
… | …10010111101000 |
3 | 112122202002120101 |
4 | 30202102113220 |
5 | 412320032403 |
6 | 32511435144 |
7 | 5132434321 |
oct | 1442222750 |
9 | 478662511 |
10 | 210314728 |
11 | a8798628 |
12 | 5a525ab4 |
13 | 347591b0 |
14 | 1dd09448 |
15 | 136e571d |
hex | c8925e8 |
210314728 has 64 divisors (see below), whose sum is σ = 443394000. Its totient is φ = 92854272.
The previous prime is 210314723. The next prime is 210314747. The reversal of 210314728 is 827413012.
It can be written as a sum of positive squares in 8 ways, for example, as 111471364 + 98843364 = 10558^2 + 9942^2 .
It is a junction number, because it is equal to n+sod(n) for n = 210314696 and 210314705.
It is not an unprimeable number, because it can be changed into a prime (210314723) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412938 + ... + 413446.
Almost surely, 2210314728 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 210314728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221697000).
210314728 is an abundant number, since it is smaller than the sum of its proper divisors (233079272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210314728 is a wasteful number, since it uses less digits than its factorization.
210314728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 694 (or 690 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 28.
The square root of 210314728 is about 14502.2318282394. The cubic root of 210314728 is about 594.6889865293.
The spelling of 210314728 in words is "two hundred ten million, three hundred fourteen thousand, seven hundred twenty-eight".
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