| Base | Representation |
|---|---|
| bin | 11110110111111111110000 |
| 3 | 120020012102221 |
| 4 | 132313333300 |
| 5 | 4032444210 |
| 6 | 445250424 |
| 7 | 125536510 |
| oct | 36677760 |
| 9 | 16205387 |
| 10 | 8093680 |
| 11 | 46289a1 |
| 12 | 2863a14 |
| 13 | 18a4c7a |
| 14 | 1109840 |
| 15 | a9d1da |
| hex | 7b7ff0 |
8093680 has 80 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 2727936.
The previous prime is 8093671. The next prime is 8093689. The reversal of 8093680 is 863908.
It is an interprime number because it is at equal distance from previous prime (8093671) and next prime (8093689).
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8093689) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54246 + ... + 54394.
It is an arithmetic number, because the mean of its divisors is an integer number (273420).
Almost surely, 28093680 is an apocalyptic number.
8093680 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 8093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).
8093680 is an abundant number, since it is smaller than the sum of its proper divisors (13779920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8093680 is a wasteful number, since it uses less digits than its factorization.
8093680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 34.
The square root of 8093680 is about 2844.9393666650. The cubic root of 8093680 is about 200.7776391347. Note that the first 3 decimals are identical.
It can be divided in two parts, 809 and 3680, that added together give a square (4489 = 672).
The spelling of 8093680 in words is "eight million, ninety-three thousand, six hundred eighty".
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