The number 76440
76440 is a composite number with 96 divisors. Its prime factorisation is × 3 × 5 × × 13. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24 … 76440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76440: a Harshad number: divisible by its digit sum 21.
- 2
76440 is composite. Its prime factorisation is
- 3
The divisors add up to 287280; without 76440 itself that is 210840, so 76440 is abundant (210840 is more than 76440). Euler's totient φ(76440) = 16128 numbers up to 76440 share no factor with it.
- 4
The digits of 76440 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76440 = 2^{3} \times 3 \times 5 \times 7^{2} \times 13 \]76440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 287280 |
| Euler totient φ(n) | 16128 |
| Square | 5843073600 |
| Cube | 446644545984000 |
| Square root | 276.477847 (= 14√390) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.644 × |
76440 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and forty |
| Binary (base 2) | 10010101010011000 |
| Octal (base 8) | 225230 |
| Hexadecimal (base 16) | 12A98 |
| Base 3 | 10212212010 |
| As time | 76440 seconds = 21 h 14 min 0 s |
Is 76440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76440 ÷ 2 = 38220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76440 ÷ 3 = 25480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76440 ÷ 4 = 19110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76440 ÷ 5 = 15288) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76440 ÷ 6 = 12740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76440 ÷ 7 = 10920) | 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 (76440 ÷ 8 = 9555) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76440 ÷ 10 = 7644) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76440 ÷ 12 = 6370) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76440 a prime number?
No. 76440 = × 3 × 5 × × 13, so it is divisible by 2.
What are the factors of 76440?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 49, 52, 56, 60, 65, 70, 78, 84, 91, 98, 104, 105, 120, 130, 140, 147, 156, 168, 182, 195, 196, 210, 245, 260, 273, 280, 294, 312, 364, 390, 392, 420, 455, 490, 520, 546, 588, 637, 728, 735, 780, 840, 910, 980, 1092, 1176, 1274, 1365, 1470, 1560, 1820, 1911, 1960, 2184, 2548, 2730, 2940, 3185, 3640, 3822, 5096, 5460, 5880, 6370, 7644, 9555, 10920, 12740, 15288, 19110, 25480, 38220, 76440.
What is 76440 in binary?
10010101010011000 (hexadecimal 12A98, octal 225230).
What is the square root of 76440?
About 276.4778, exactly 14√390.
Is 76440 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76440?
76440 is a Harshad number: divisible by its digit sum 21.