The number 64080
64080 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 89. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 64080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64080: a Harshad number: divisible by its digit sum 18.
- 2
64080 is composite. Its prime factorisation is
- 3
The divisors add up to 217620; without 64080 itself that is 153540, so 64080 is abundant (153540 is more than 64080). Euler's totient φ(64080) = 16896 numbers up to 64080 share no factor with it.
- 4
The digits of 64080 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64080 = 2^{4} \times 3^{2} \times 5 \times 89 \]64080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 217620 |
| Euler totient φ(n) | 16896 |
| Square | 4106246400 |
| Cube | 263128269312000 |
| Square root | 253.140277 (= 12√445) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.408 × |
64080 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and eighty |
| Binary (base 2) | 1111101001010000 |
| Octal (base 8) | 175120 |
| Hexadecimal (base 16) | FA50 |
| Base 3 | 10020220100 |
| As time | 64080 seconds = 17 h 48 min 0 s |
Is 64080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64080 ÷ 2 = 32040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64080 ÷ 3 = 21360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64080 ÷ 4 = 16020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64080 ÷ 5 = 12816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (64080 ÷ 6 = 10680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (64080 ÷ 8 = 8010) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64080 ÷ 9 = 7120) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (64080 ÷ 10 = 6408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (64080 ÷ 12 = 5340) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64080 a prime number?
No. 64080 = × × 5 × 89, so it is divisible by 2.
What are the factors of 64080?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 89, 90, 120, 144, 178, 180, 240, 267, 356, 360, 445, 534, 712, 720, 801, 890, 1068, 1335, 1424, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 4272, 5340, 6408, 7120, 8010, 10680, 12816, 16020, 21360, 32040, 64080.
What is 64080 in binary?
1111101001010000 (hexadecimal FA50, octal 175120).
What is the square root of 64080?
About 253.1403, exactly 12√445.
Is 64080 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 64080?
64080 is a Harshad number: divisible by its digit sum 18.