Base | Representation |
---|---|
bin | 100110001111… |
… | …100101000000 |
3 | 200212100002200 |
4 | 212033211000 |
5 | 10031302110 |
6 | 554513200 |
7 | 151133136 |
oct | 46174500 |
9 | 20770080 |
10 | 10025280 |
11 | 5728161 |
12 | 3435800 |
13 | 2100225 |
14 | 148d756 |
15 | d306c0 |
hex | 98f940 |
10025280 has 126 divisors (see below), whose sum is σ = 35077146. Its totient is φ = 2628096.
The previous prime is 10025269. The next prime is 10025287. The reversal of 10025280 is 8252001.
It can be written as a sum of positive squares in only one way, i.e., 8020224 + 2005056 = 2832^2 + 1416^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10025287) 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, 169891 + ... + 169949.
Almost surely, 210025280 is an apocalyptic number.
10025280 is a gapful number since it is divisible by the number (10) 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 10025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538573).
10025280 is an abundant number, since it is smaller than the sum of its proper divisors (25051866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10025280 is an equidigital number, since it uses as much as digits as its factorization.
10025280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 141 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 10025280 is about 3166.2722561397. The cubic root of 10025280 is about 215.6248632639.
Adding to 10025280 its reverse (8252001), we get a palindrome (18277281).
The spelling of 10025280 in words is "ten million, twenty-five thousand, two hundred eighty".
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