Base | Representation |
---|---|
bin | 11110110100101101001000 |
3 | 120012111221200 |
4 | 132310231020 |
5 | 4032031300 |
6 | 445104200 |
7 | 125452302 |
oct | 36645510 |
9 | 16174850 |
10 | 8080200 |
11 | 4619857 |
12 | 2858060 |
13 | 189baab |
14 | 1104972 |
15 | a99200 |
hex | 7b4b48 |
8080200 has 108 divisors (see below), whose sum is σ = 27547065. Its totient is φ = 2122560.
The previous prime is 8080159. The next prime is 8080201. The reversal of 8080200 is 20808.
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.
8080200 is digitally balanced in base 4, 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 7918596 + 161604 = 2814^2 + 402^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2010.
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 not an unprimeable number, because it can be changed into a prime (8080201) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120567 + ... + 120633.
Almost surely, 28080200 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 8080200
8080200 is an abundant number, since it is smaller than the sum of its proper divisors (19466865).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8080200 is a wasteful number, since it uses less digits than its factorization.
8080200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 156 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 8080200 is about 2842.5692603699. The cubic root of 8080200 is about 200.6661123421. Note that the first 3 decimals are identical.
Multiplying 8080200 by its sum of digits (18), we get a square (145443600 = 120602).
8080200 divided by its sum of digits (18) gives a square (448900 = 6702).
Multiplying 8080200 by its product of nonzero digits (128), we get a square (1034265600 = 321602).
Multiplying 8080200 by its reverse (20808), we get a square (168132801600 = 4100402).
The spelling of 8080200 in words is "eight million, eighty thousand, two hundred".
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