Base | Representation |
---|---|
bin | 111110101000100… |
… | …001000000000000 |
3 | 2201020021121000200 |
4 | 332220201000000 |
5 | 4123001331240 |
6 | 252134245200 |
7 | 35016503052 |
oct | 7650410000 |
9 | 2636247020 |
10 | 1050808320 |
11 | 49a176931 |
12 | 253ab6800 |
13 | 139919493 |
14 | 9d7b58d2 |
15 | 623ba930 |
hex | 3ea21000 |
1050808320 has 156 divisors (see below), whose sum is σ = 3642996396. Its totient is φ = 280166400.
The previous prime is 1050808289. The next prime is 1050808321. The reversal of 1050808320 is 238080501.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 652087296 + 398721024 = 25536^2 + 19968^2 .
It is a super-2 number, since 2×10508083202 = 2208396250762444800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1050808321) 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, 181470 + ... + 187170.
It is an arithmetic number, because the mean of its divisors is an integer number (23352541).
Almost surely, 21050808320 is an apocalyptic number.
1050808320 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 1050808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821498198).
1050808320 is an abundant number, since it is smaller than the sum of its proper divisors (2592188076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1050808320 is an equidigital number, since it uses as much as digits as its factorization.
1050808320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5736 (or 5711 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 1050808320 is about 32416.1737408967. The cubic root of 1050808320 is about 1016.6571069005.
Adding to 1050808320 its reverse (238080501), we get a palindrome (1288888821).
The spelling of 1050808320 in words is "one billion, fifty million, eight hundred eight thousand, three hundred twenty".
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