The number 11020
11020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 29. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 29, 38, 58, 76, 95, 116, 145, 190, 290 … 11020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11020: a Harshad number: divisible by its digit sum 4.
- 2
11020 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 11020 itself that is 14180, so 11020 is abundant (14180 is more than 11020). Euler's totient φ(11020) = 4032 numbers up to 11020 share no factor with it.
- 4
The digits of 11020 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11020 = 2^{2} \times 5 \times 19 \times 29 \]11020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 4032 |
| Square | 121440400 |
| Cube | 1338273208000 |
| Square root | 104.976188 (= 2√2755) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.102 × |
11020 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty |
| Binary (base 2) | 10101100001100 |
| Octal (base 8) | 25414 |
| Hexadecimal (base 16) | 2B0C |
| Base 3 | 120010011 |
| As time | 11020 seconds = 3 h 3 min 40 s |
Is 11020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11020 ÷ 2 = 5510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11020 ÷ 4 = 2755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11020 ÷ 5 = 2204) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11020 ÷ 10 = 1102) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11020 a prime number?
No. 11020 = × 5 × 19 × 29, so it is divisible by 2.
What are the factors of 11020?
1, 2, 4, 5, 10, 19, 20, 29, 38, 58, 76, 95, 116, 145, 190, 290, 380, 551, 580, 1102, 2204, 2755, 5510, 11020.
What is 11020 in binary?
10101100001100 (hexadecimal 2B0C, octal 25414).
What is the square root of 11020?
About 104.9762, exactly 2√2755.
Is 11020 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 11020?
11020 is a Harshad number: divisible by its digit sum 4.