The number 77140
77140 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 19 × 29. Divisors (48): 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 29, 35, 38, 58, 70, 76 … 77140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77140: a Harshad number: divisible by its digit sum 19.
- 2
77140 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 77140 itself that is 124460, so 77140 is abundant (124460 is more than 77140). Euler's totient φ(77140) = 24192 numbers up to 77140 share no factor with it.
- 4
The digits of 77140 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77140 = 2^{2} \times 5 \times 7 \times 19 \times 29 \]77140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 24192 |
| Square | 5950579600 |
| Cube | 459027710344000 |
| Square root | 277.740886 (= 2√19285) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 24 |
| Scientific notation | 7.714 × |
77140 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and forty |
| Binary (base 2) | 10010110101010100 |
| Octal (base 8) | 226524 |
| Hexadecimal (base 16) | 12D54 |
| Base 3 | 10220211001 |
| As time | 77140 seconds = 21 h 25 min 40 s |
Is 77140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77140 ÷ 2 = 38570) | 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 (77140 ÷ 4 = 19285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77140 ÷ 5 = 15428) | 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 | Yes (77140 ÷ 7 = 11020) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77140 ÷ 10 = 7714) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77140 a prime number?
No. 77140 = × 5 × 7 × 19 × 29, so it is divisible by 2.
What are the factors of 77140?
1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 29, 35, 38, 58, 70, 76, 95, 116, 133, 140, 145, 190, 203, 266, 290, 380, 406, 532, 551, 580, 665, 812, 1015, 1102, 1330, 2030, 2204, 2660, 2755, 3857, 4060, 5510, 7714, 11020, 15428, 19285, 38570, 77140.
What is 77140 in binary?
10010110101010100 (hexadecimal 12D54, octal 226524).
What is the square root of 77140?
About 277.7409, exactly 2√19285.
Is 77140 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77140?
77140 is a Harshad number: divisible by its digit sum 19.