The number 10720
10720 is a composite number with 24 divisors. Its prime factorisation is × 5 × 67. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 67, 80, 134, 160, 268, 335 … 10720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10720: a Harshad number: divisible by its digit sum 10.
- 2
10720 is composite. Its prime factorisation is
- 3
The divisors add up to 25704; without 10720 itself that is 14984, so 10720 is abundant (14984 is more than 10720). Euler's totient φ(10720) = 4224 numbers up to 10720 share no factor with it.
- 4
The digits of 10720 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10720 = 2^{5} \times 5 \times 67 \]10720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25704 |
| Euler totient φ(n) | 4224 |
| Square | 114918400 |
| Cube | 1231925248000 |
| Square root | 103.537433 (= 4√670) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.072 × |
10720 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and twenty |
| Binary (base 2) | 10100111100000 |
| Octal (base 8) | 24740 |
| Hexadecimal (base 16) | 29E0 |
| Base 3 | 112201001 |
| As time | 10720 seconds = 2 h 58 min 40 s |
Is 10720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10720 ÷ 2 = 5360) | 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 (10720 ÷ 4 = 2680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10720 ÷ 5 = 2144) | 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 3) | 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 | Yes (10720 ÷ 8 = 1340) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10720 ÷ 10 = 1072) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 10720 a prime number?
No. 10720 = × 5 × 67, so it is divisible by 2.
What are the factors of 10720?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 67, 80, 134, 160, 268, 335, 536, 670, 1072, 1340, 2144, 2680, 5360, 10720.
What is 10720 in binary?
10100111100000 (hexadecimal 29E0, octal 24740).
What is the square root of 10720?
About 103.5374, exactly 4√670.
Is 10720 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10720?
10720 is a Harshad number: divisible by its digit sum 10.