Base | Representation |
---|---|
bin | 11110100011011001101000 |
3 | 120001220201111 |
4 | 132203121220 |
5 | 4022244240 |
6 | 443400104 |
7 | 125035534 |
oct | 36433150 |
9 | 16056644 |
10 | 8009320 |
11 | 4580580 |
12 | 2823034 |
13 | 1875757 |
14 | 10c6bc4 |
15 | a831ea |
hex | 7a3668 |
8009320 has 64 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 2868480.
The previous prime is 8009303. The next prime is 8009321. The reversal of 8009320 is 239008.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 8009291 and 8009300.
It is not an unprimeable number, because it can be changed into a prime (8009321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47877 + ... + 48043.
It is an arithmetic number, because the mean of its divisors is an integer number (311850).
Almost surely, 28009320 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 8009320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).
8009320 is an abundant number, since it is smaller than the sum of its proper divisors (11949080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8009320 is a wasteful number, since it uses less digits than its factorization.
8009320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 298 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 22.
The square root of 8009320 is about 2830.0742039742. The cubic root of 8009320 is about 200.0776365256.
The spelling of 8009320 in words is "eight million, nine thousand, three hundred twenty".
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