| Base | Representation |
|---|---|
| bin | 1010110000111… |
| … | …11001100000000 |
| 3 | 20021220222120000 |
| 4 | 11120133030000 |
| 5 | 141104232110 |
| 6 | 12543320000 |
| 7 | 2144403462 |
| oct | 530371400 |
| 9 | 207828500 |
| 10 | 90305280 |
| 11 | 46a7a76a |
| 12 | 262b0000 |
| 13 | 1592aba0 |
| 14 | bdca132 |
| 15 | 7ddc1c0 |
| hex | 561f300 |
90305280 has 360 divisors, whose sum is σ = 353178672. Its totient is φ = 21897216.
The previous prime is 90305273. The next prime is 90305287. The reversal of 90305280 is 8250309.
It is an interprime number because it is at equal distance from previous prime (90305273) and next prime (90305287).
It is a tau number, because it is divible by the number of its divisors (360).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (90305287) 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 39 ways as a sum of consecutive naturals, for example, 1347807 + ... + 1347873.
Almost surely, 290305280 is an apocalyptic number.
90305280 is a gapful number since it is divisible by the number (90) 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 90305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176589336).
90305280 is an abundant number, since it is smaller than the sum of its proper divisors (262873392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90305280 is a wasteful number, since it uses less digits than its factorization.
90305280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 90305280 is about 9502.9090282923. The cubic root of 90305280 is about 448.6466003236.
Adding to 90305280 its reverse (8250309), we get a palindrome (98555589).
The spelling of 90305280 in words is "ninety million, three hundred five thousand, two hundred eighty".
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