The number 24120
24120 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 67. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 24120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24120: a Harshad number: divisible by its digit sum 9.
- 2
24120 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 24120 itself that is 55440, so 24120 is abundant (55440 is more than 24120). Euler's totient φ(24120) = 6336 numbers up to 24120 share no factor with it.
- 4
The digits of 24120 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24120 = 2^{3} \times 3^{2} \times 5 \times 67 \]24120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 6336 |
| Square | 581774400 |
| Cube | 14032398528000 |
| Square root | 155.306149 (= 6√670) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.412 × |
24120 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and twenty |
| Binary (base 2) | 101111000111000 |
| Octal (base 8) | 57070 |
| Hexadecimal (base 16) | 5E38 |
| Base 3 | 1020002100 |
| As time | 24120 seconds = 6 h 42 min 0 s |
Is 24120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24120 ÷ 2 = 12060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24120 ÷ 3 = 8040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24120 ÷ 4 = 6030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24120 ÷ 5 = 4824) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24120 ÷ 6 = 4020) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (24120 ÷ 8 = 3015) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24120 ÷ 9 = 2680) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24120 ÷ 10 = 2412) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24120 ÷ 12 = 2010) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24120 a prime number?
No. 24120 = × × 5 × 67, so it is divisible by 2.
What are the factors of 24120?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060, 24120.
What is 24120 in binary?
101111000111000 (hexadecimal 5E38, octal 57070).
What is the square root of 24120?
About 155.3061, exactly 6√670.
Is 24120 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24120?
24120 is a Harshad number: divisible by its digit sum 9.