The number 61320
61320 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 7 × 73. Divisors (64): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28 … 61320.
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How to work it out
- 1
What is special about 61320: a Harshad number: divisible by its digit sum 12.
- 2
61320 is composite. Its prime factorisation is
- 3
The divisors add up to 213120; without 61320 itself that is 151800, so 61320 is abundant (151800 is more than 61320). Euler's totient φ(61320) = 13824 numbers up to 61320 share no factor with it.
- 4
The digits of 61320 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61320 = 2^{3} \times 3 \times 5 \times 7 \times 73 \]61320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 213120 |
| Euler totient φ(n) | 13824 |
| Square | 3760142400 |
| Cube | 230571931968000 |
| Square root | 247.628754 (= 2√15330) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.132 × |
61320 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and twenty |
| Binary (base 2) | 1110111110001000 |
| Octal (base 8) | 167610 |
| Hexadecimal (base 16) | EF88 |
| Base 3 | 10010010010 |
| As time | 61320 seconds = 17 h 2 min 0 s |
Is 61320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61320 ÷ 2 = 30660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61320 ÷ 3 = 20440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61320 ÷ 4 = 15330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61320 ÷ 5 = 12264) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61320 ÷ 6 = 10220) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61320 ÷ 7 = 8760) | 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 (61320 ÷ 8 = 7665) | 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 (61320 ÷ 10 = 6132) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61320 ÷ 12 = 5110) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61320 a prime number?
No. 61320 = × 3 × 5 × 7 × 73, so it is divisible by 2.
What are the factors of 61320?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 73, 84, 105, 120, 140, 146, 168, 210, 219, 280, 292, 365, 420, 438, 511, 584, 730, 840, 876, 1022, 1095, 1460, 1533, 1752, 2044, 2190, 2555, 2920, 3066, 4088, 4380, 5110, 6132, 7665, 8760, 10220, 12264, 15330, 20440, 30660, 61320.
What is 61320 in binary?
1110111110001000 (hexadecimal EF88, octal 167610).
What is the square root of 61320?
About 247.6288, exactly 2√15330.
Is 61320 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 61320?
61320 is a Harshad number: divisible by its digit sum 12.