Base | Representation |
---|---|
bin | 1110101001111001000 |
3 | 220101201012 |
4 | 1311033020 |
5 | 110331300 |
6 | 14143052 |
7 | 4040000 |
oct | 1651710 |
9 | 811635 |
10 | 480200 |
11 | 2a8866 |
12 | 1b1a88 |
13 | 13a756 |
14 | c7000 |
15 | 97435 |
hex | 753c8 |
480200 has 60 divisors (see below), whose sum is σ = 1302465. Its totient is φ = 164640.
The previous prime is 480169. The next prime is 480203. The reversal of 480200 is 2084.
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.
480200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 470596 + 9604 = 686^2 + 98^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=490.
It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a nialpdrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (480203) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68597 + ... + 68603.
2480200 is an apocalyptic number.
480200 is a gapful number since it is divisible by the number (40) 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 480200
480200 is an abundant number, since it is smaller than the sum of its proper divisors (822265).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480200 is an equidigital number, since it uses as much as digits as its factorization.
480200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 480200 is about 692.9646455628. The cubic root of 480200 is about 78.3082259457.
Adding to 480200 its reverse (2084), we get a palindrome (482284).
The spelling of 480200 in words is "four hundred eighty thousand, two hundred".
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