The number 77040
77040 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 107. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 77040.
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How to work it out
- 1
What is special about 77040: a Harshad number: divisible by its digit sum 18.
- 2
77040 is composite. Its prime factorisation is
- 3
The divisors add up to 261144; without 77040 itself that is 184104, so 77040 is abundant (184104 is more than 77040). Euler's totient φ(77040) = 20352 numbers up to 77040 share no factor with it.
- 4
The digits of 77040 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77040 = 2^{4} \times 3^{2} \times 5 \times 107 \]77040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 261144 |
| Euler totient φ(n) | 20352 |
| Square | 5935161600 |
| Cube | 457244849664000 |
| Square root | 277.560804 (= 12√535) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.704 × |
77040 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and forty |
| Binary (base 2) | 10010110011110000 |
| Octal (base 8) | 226360 |
| Hexadecimal (base 16) | 12CF0 |
| Base 3 | 10220200100 |
| As time | 77040 seconds = 21 h 24 min 0 s |
Is 77040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77040 ÷ 2 = 38520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77040 ÷ 3 = 25680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77040 ÷ 4 = 19260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77040 ÷ 5 = 15408) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77040 ÷ 6 = 12840) | 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 (77040 ÷ 8 = 9630) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77040 ÷ 9 = 8560) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77040 ÷ 10 = 7704) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77040 ÷ 12 = 6420) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77040 a prime number?
No. 77040 = × × 5 × 107, so it is divisible by 2.
What are the factors of 77040?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 107, 120, 144, 180, 214, 240, 321, 360, 428, 535, 642, 720, 856, 963, 1070, 1284, 1605, 1712, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 5136, 6420, 7704, 8560, 9630, 12840, 15408, 19260, 25680, 38520, 77040.
What is 77040 in binary?
10010110011110000 (hexadecimal 12CF0, octal 226360).
What is the square root of 77040?
About 277.5608, exactly 12√535.
Is 77040 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77040?
77040 is a Harshad number: divisible by its digit sum 18.