Base | Representation |
---|---|
bin | 11110110111000111010000 |
3 | 120020000111000 |
4 | 132313013100 |
5 | 4032340224 |
6 | 445222000 |
7 | 125523123 |
oct | 36670720 |
9 | 16200430 |
10 | 8090064 |
11 | 4626204 |
12 | 2861900 |
13 | 18a3428 |
14 | 11083ba |
15 | a9c0c9 |
hex | 7b71d0 |
8090064 has 80 divisors (see below), whose sum is σ = 23679040. Its totient is φ = 2643840.
The previous prime is 8090057. The next prime is 8090081. The reversal of 8090064 is 4600908.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 15 ways as a sum of consecutive naturals, for example, 26199 + ... + 26505.
It is an arithmetic number, because the mean of its divisors is an integer number (295988).
Almost surely, 28090064 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 8090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839520).
8090064 is an abundant number, since it is smaller than the sum of its proper divisors (15588976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8090064 is a wasteful number, since it uses less digits than its factorization.
8090064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 385 (or 373 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 8090064 is about 2844.3037812442. The cubic root of 8090064 is about 200.7477343164.
Subtracting from 8090064 its product of nonzero digits (1728), we obtain a square (8088336 = 28442).
The spelling of 8090064 in words is "eight million, ninety thousand, sixty-four".
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