The number 76140
76140 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 47. Divisors (60): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 76140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76140: a Harshad number: divisible by its digit sum 18.
- 2
76140 is composite. Its prime factorisation is
- 3
The divisors add up to 243936; without 76140 itself that is 167796, so 76140 is abundant (167796 is more than 76140). Euler's totient φ(76140) = 19872 numbers up to 76140 share no factor with it.
- 4
The digits of 76140 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76140 = 2^{2} \times 3^{4} \times 5 \times 47 \]76140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 243936 |
| Euler totient φ(n) | 19872 |
| Square | 5797299600 |
| Cube | 441406391544000 |
| Square root | 275.934775 (= 18√235) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.614 × |
76140 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and forty |
| Binary (base 2) | 10010100101101100 |
| Octal (base 8) | 224554 |
| Hexadecimal (base 16) | 1296C |
| Base 3 | 10212110000 |
| As time | 76140 seconds = 21 h 9 min 0 s |
Is 76140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76140 ÷ 2 = 38070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76140 ÷ 3 = 25380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76140 ÷ 4 = 19035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76140 ÷ 5 = 15228) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76140 ÷ 6 = 12690) | 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 (76140 ÷ 9 = 8460) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76140 ÷ 10 = 7614) | 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 (76140 ÷ 12 = 6345) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76140 a prime number?
No. 76140 = × × 5 × 47, so it is divisible by 2.
What are the factors of 76140?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 47, 54, 60, 81, 90, 94, 108, 135, 141, 162, 180, 188, 235, 270, 282, 324, 405, 423, 470, 540, 564, 705, 810, 846, 940, 1269, 1410, 1620, 1692, 2115, 2538, 2820, 3807, 4230, 5076, 6345, 7614, 8460, 12690, 15228, 19035, 25380, 38070, 76140.
What is 76140 in binary?
10010100101101100 (hexadecimal 1296C, octal 224554).
What is the square root of 76140?
About 275.9348, exactly 18√235.
Is 76140 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76140?
76140 is a Harshad number: divisible by its digit sum 18.