Base | Representation |
---|---|
bin | 100000011100… |
… | …001100010000 |
3 | 121000001101221 |
4 | 200130030100 |
5 | 4134112310 |
6 | 502134424 |
7 | 132166144 |
oct | 40341420 |
9 | 17001357 |
10 | 8504080 |
11 | 4889272 |
12 | 2a21414 |
13 | 19b9a00 |
14 | 11b5224 |
15 | b2eada |
hex | 81c310 |
8504080 has 120 divisors (see below), whose sum is σ = 23281992. Its totient is φ = 2875392.
The previous prime is 8504057. The next prime is 8504081. The reversal of 8504080 is 804058.
It can be written as a sum of positive squares in 12 ways, for example, as 1806336 + 6697744 = 1344^2 + 2588^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8504081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229822 + ... + 229858.
Almost surely, 28504080 is an apocalyptic number.
8504080 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 8504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640996).
8504080 is an abundant number, since it is smaller than the sum of its proper divisors (14777912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8504080 is a wasteful number, since it uses less digits than its factorization.
8504080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 74 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 25.
The square root of 8504080 is about 2916.1755777045. The cubic root of 8504080 is about 204.1154031136.
The spelling of 8504080 in words is "eight million, five hundred four thousand, eighty".
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