The number 10890
10890 is a composite number with 36 divisors. Its prime factorisation is 2 × × 5 × . Divisors (36): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66 … 10890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10890: a Harshad number: divisible by its digit sum 18.
- 2
10890 is composite. Its prime factorisation is
- 3
The divisors add up to 31122; without 10890 itself that is 20232, so 10890 is abundant (20232 is more than 10890). Euler's totient φ(10890) = 2640 numbers up to 10890 share no factor with it.
- 4
The digits of 10890 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10890 = 2 \times 3^{2} \times 5 \times 11^{2} \]10890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 31122 |
| Euler totient φ(n) | 2640 |
| Square | 118592100 |
| Cube | 1291467969000 |
| Square root | 104.355163 (= 33√10) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.089 × |
10890 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and ninety |
| Binary (base 2) | 10101010001010 |
| Octal (base 8) | 25212 |
| Hexadecimal (base 16) | 2A8A |
| Base 3 | 112221100 |
| As time | 10890 seconds = 3 h 1 min 30 s |
Is 10890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10890 ÷ 2 = 5445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10890 ÷ 3 = 3630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10890 ÷ 5 = 2178) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10890 ÷ 6 = 1815) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10890 ÷ 9 = 1210) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10890 ÷ 10 = 1089) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10890 ÷ 11 = 990) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10890 a prime number?
No. 10890 = 2 × × 5 × , so it is divisible by 2.
What are the factors of 10890?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 121, 165, 198, 242, 330, 363, 495, 605, 726, 990, 1089, 1210, 1815, 2178, 3630, 5445, 10890.
What is 10890 in binary?
10101010001010 (hexadecimal 2A8A, octal 25212).
What is the square root of 10890?
About 104.3552, exactly 33√10.
Is 10890 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10890?
10890 is a Harshad number: divisible by its digit sum 18.