Base | Representation |
---|---|
bin | 11111110110100110000000 |
3 | 120201020011020 |
4 | 133312212000 |
5 | 4114200310 |
6 | 454545440 |
7 | 130655154 |
oct | 37664600 |
9 | 16636136 |
10 | 8350080 |
11 | 47935a2 |
12 | 2968280 |
13 | 196489b |
14 | 1175064 |
15 | aee170 |
hex | 7f6980 |
8350080 has 64 divisors (see below), whose sum is σ = 26622000. Its totient is φ = 2226176.
The previous prime is 8350079. The next prime is 8350099. The reversal of 8350080 is 800538.
8350080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-4 number, since 4×83500804 (a number of 29 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 8350080.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 4094.
Almost surely, 28350080 is an apocalyptic number.
8350080 is a gapful number since it is divisible by the number (80) 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 8350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311000).
8350080 is an abundant number, since it is smaller than the sum of its proper divisors (18271920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8350080 is a wasteful number, since it uses less digits than its factorization.
8350080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4371 (or 4359 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 8350080 is about 2889.6504978976. The cubic root of 8350080 is about 202.8757844593.
The spelling of 8350080 in words is "eight million, three hundred fifty thousand, eighty".
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