The number 24720
24720 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 103. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 24720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24720: a Harshad number: divisible by its digit sum 15.
- 2
24720 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 24720 itself that is 52656, so 24720 is abundant (52656 is more than 24720). Euler's totient φ(24720) = 6528 numbers up to 24720 share no factor with it.
- 4
The digits of 24720 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24720 = 2^{4} \times 3 \times 5 \times 103 \]24720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 6528 |
| Square | 611078400 |
| Cube | 15105858048000 |
| Square root | 157.225952 (= 4√1545) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.472 × |
24720 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and twenty |
| Binary (base 2) | 110000010010000 |
| Octal (base 8) | 60220 |
| Hexadecimal (base 16) | 6090 |
| Base 3 | 1020220120 |
| As time | 24720 seconds = 6 h 52 min 0 s |
Is 24720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24720 ÷ 2 = 12360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24720 ÷ 3 = 8240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24720 ÷ 4 = 6180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24720 ÷ 5 = 4944) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24720 ÷ 6 = 4120) | 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 (24720 ÷ 8 = 3090) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24720 ÷ 10 = 2472) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24720 ÷ 12 = 2060) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24720 a prime number?
No. 24720 = × 3 × 5 × 103, so it is divisible by 2.
What are the factors of 24720?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 103, 120, 206, 240, 309, 412, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 4120, 4944, 6180, 8240, 12360, 24720.
What is 24720 in binary?
110000010010000 (hexadecimal 6090, octal 60220).
What is the square root of 24720?
About 157.2260, exactly 4√1545.
Is 24720 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24720?
24720 is a Harshad number: divisible by its digit sum 15.