| Base | Representation |
|---|---|
| bin | 11110111001000011010000 |
| 3 | 120020102100221 |
| 4 | 132321003100 |
| 5 | 4033114000 |
| 6 | 445322424 |
| 7 | 125555221 |
| oct | 36710320 |
| 9 | 16212327 |
| 10 | 8098000 |
| 11 | 4631169 |
| 12 | 2866414 |
| 13 | 18a6c21 |
| 14 | 110b248 |
| 15 | a9e61a |
| hex | 7b90d0 |
8098000 has 40 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 3238400.
The previous prime is 8097983. The next prime is 8098007. The reversal of 8098000 is 8908.
It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 7160976 = 968^2 + 2676^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8098007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 4024.
It is an arithmetic number, because the mean of its divisors is an integer number (489645).
Almost surely, 28098000 is an apocalyptic number.
8098000 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 8098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).
8098000 is an abundant number, since it is smaller than the sum of its proper divisors (11487800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8098000 is a wasteful number, since it uses less digits than its factorization.
8098000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4072 (or 4056 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 25.
The square root of 8098000 is about 2845.6985082753. The cubic root of 8098000 is about 200.8133544554.
It can be divided in two parts, 80 and 98000, that multiplied together give a square (7840000 = 28002).
The spelling of 8098000 in words is "eight million, ninety-eight thousand".
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