The number 20700
20700 is a composite number with 54 divisors. Its prime factorisation is × × × 23. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 30, 36 … 20700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20700: a Harshad number: divisible by its digit sum 9.
- 2
20700 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 20700 itself that is 47004, so 20700 is abundant (47004 is more than 20700). Euler's totient φ(20700) = 5280 numbers up to 20700 share no factor with it.
- 4
The digits of 20700 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20700 = 2^{2} \times 3^{2} \times 5^{2} \times 23 \]20700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 5280 |
| Square | 428490000 |
| Cube | 8869743000000 |
| Square root | 143.874946 (= 30√23) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.07 × |
20700 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred |
| Binary (base 2) | 101000011011100 |
| Octal (base 8) | 50334 |
| Hexadecimal (base 16) | 50DC |
| Base 3 | 1001101200 |
| As time | 20700 seconds = 5 h 45 min 0 s |
Is 20700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20700 ÷ 2 = 10350) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20700 ÷ 3 = 6900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20700 ÷ 4 = 5175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20700 ÷ 5 = 4140) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20700 ÷ 6 = 3450) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (20700 ÷ 9 = 2300) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20700 ÷ 10 = 2070) | 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 | Yes (20700 ÷ 12 = 1725) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20700 a prime number?
No. 20700 = × × × 23, so it is divisible by 2.
What are the factors of 20700?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 30, 36, 45, 46, 50, 60, 69, 75, 90, 92, 100, 115, 138, 150, 180, 207, 225, 230, 276, 300, 345, 414, 450, 460, 575, 690, 828, 900, 1035, 1150, 1380, 1725, 2070, 2300, 3450, 4140, 5175, 6900, 10350, 20700.
What is 20700 in binary?
101000011011100 (hexadecimal 50DC, octal 50334).
What is the square root of 20700?
About 143.8749, exactly 30√23.
Is 20700 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20700?
20700 is a Harshad number: divisible by its digit sum 9.