The number 10220
10220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 73. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 73, 140, 146, 292, 365 … 10220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10220: a Harshad number: divisible by its digit sum 5.
- 2
10220 is composite. Its prime factorisation is
- 3
The divisors add up to 24864; without 10220 itself that is 14644, so 10220 is abundant (14644 is more than 10220). Euler's totient φ(10220) = 3456 numbers up to 10220 share no factor with it.
- 4
The digits of 10220 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10220 = 2^{2} \times 5 \times 7 \times 73 \]10220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24864 |
| Euler totient φ(n) | 3456 |
| Square | 104448400 |
| Cube | 1067462648000 |
| Square root | 101.094016 (= 2√2555) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.022 × |
10220 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and twenty |
| Binary (base 2) | 10011111101100 |
| Octal (base 8) | 23754 |
| Hexadecimal (base 16) | 27EC |
| Base 3 | 112000112 |
| As time | 10220 seconds = 2 h 50 min 20 s |
Is 10220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10220 ÷ 2 = 5110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10220 ÷ 4 = 2555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10220 ÷ 5 = 2044) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10220 ÷ 7 = 1460) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10220 ÷ 10 = 1022) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10220 a prime number?
No. 10220 = × 5 × 7 × 73, so it is divisible by 2.
What are the factors of 10220?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 73, 140, 146, 292, 365, 511, 730, 1022, 1460, 2044, 2555, 5110, 10220.
What is 10220 in binary?
10011111101100 (hexadecimal 27EC, octal 23754).
What is the square root of 10220?
About 101.0940, exactly 2√2555.
Is 10220 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 10220?
10220 is a Harshad number: divisible by its digit sum 5.