Base | Representation |
---|---|
bin | 1110101010010100100 |
3 | 220102000100 |
4 | 1311102210 |
5 | 110333140 |
6 | 14144100 |
7 | 4040433 |
oct | 1652244 |
9 | 812010 |
10 | 480420 |
11 | 2a8a46 |
12 | 1b2030 |
13 | 13a895 |
14 | c711a |
15 | 97530 |
hex | 754a4 |
480420 has 72 divisors (see below), whose sum is σ = 1552824. Its totient is φ = 119808.
The previous prime is 480419. The next prime is 480427. The reversal of 480420 is 24084.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 419904 = 246^2 + 648^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 480393 and 480402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (480427) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2982 + ... + 3138.
It is an arithmetic number, because the mean of its divisors is an integer number (21567).
2480420 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 480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776412).
480420 is an abundant number, since it is smaller than the sum of its proper divisors (1072404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480420 is a wasteful number, since it uses less digits than its factorization.
480420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 184 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 480420 is about 693.1233656428. The cubic root of 480420 is about 78.3201828938.
It can be divided in two parts, 480 and 420, that added together give a square (900 = 302).
The spelling of 480420 in words is "four hundred eighty thousand, four hundred twenty".
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