Base | Representation |
---|---|
bin | 100110111010… |
… | …111110000000 |
3 | 201012100220012 |
4 | 212322332000 |
5 | 10102444013 |
6 | 1002404052 |
7 | 152503244 |
oct | 46727600 |
9 | 21170805 |
10 | 10203008 |
11 | 5839742 |
12 | 3500628 |
13 | 21630aa |
14 | 14d8424 |
15 | d681a8 |
hex | 9baf80 |
10203008 has 32 divisors (see below), whose sum is σ = 20604000. Its totient is φ = 5031936.
The previous prime is 10203001. The next prime is 10203013. The reversal of 10203008 is 80030201.
10203008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (32).
It is a junction number, because it is equal to n+sod(n) for n = 10202983 and 10203001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10203001) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9608 + ... + 10616.
It is an arithmetic number, because the mean of its divisors is an integer number (643875).
Almost surely, 210203008 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 10203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302000).
10203008 is an abundant number, since it is smaller than the sum of its proper divisors (10400992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10203008 is an equidigital number, since it uses as much as digits as its factorization.
10203008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 10203008 is about 3194.2147704874. The cubic root of 10203008 is about 216.8916049208.
Adding to 10203008 its reverse (80030201), we get a palindrome (90233209).
The spelling of 10203008 in words is "ten million, two hundred three thousand, eight".
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