Base | Representation |
---|---|
bin | 11110101110000111100100 |
3 | 120011010221102 |
4 | 132232013210 |
5 | 4030200340 |
6 | 444335232 |
7 | 125310530 |
oct | 36560744 |
9 | 16133842 |
10 | 8053220 |
11 | 460055a |
12 | 2844518 |
13 | 188c726 |
14 | 10d8bc0 |
15 | a91215 |
hex | 7ae1e4 |
8053220 has 96 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 2534400.
The previous prime is 8053219. The next prime is 8053249. The reversal of 8053220 is 223508.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 8053192 and 8053201.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131990 + ... + 132050.
It is an arithmetic number, because the mean of its divisors is an integer number (218736).
Almost surely, 28053220 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 8053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).
8053220 is an abundant number, since it is smaller than the sum of its proper divisors (12945436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8053220 is a wasteful number, since it uses less digits than its factorization.
8053220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 8053220 is about 2837.8195855269. The cubic root of 8053220 is about 200.4425201574.
Adding to 8053220 its reverse (223508), we get a palindrome (8276728).
It can be divided in two parts, 805 and 3220, that multiplied together give a square (2592100 = 16102).
The spelling of 8053220 in words is "eight million, fifty-three thousand, two hundred twenty".
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