The number 61620
61620 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 79. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 61620.
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How to work it out
- 1
What is special about 61620: a Harshad number: divisible by its digit sum 15.
- 2
61620 is composite. Its prime factorisation is
- 3
The divisors add up to 188160; without 61620 itself that is 126540, so 61620 is abundant (126540 is more than 61620). Euler's totient φ(61620) = 14976 numbers up to 61620 share no factor with it.
- 4
The digits of 61620 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61620 = 2^{2} \times 3 \times 5 \times 13 \times 79 \]61620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 188160 |
| Euler totient φ(n) | 14976 |
| Square | 3797024400 |
| Cube | 233972643528000 |
| Square root | 248.233761 (= 2√15405) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.162 × |
61620 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and twenty |
| Binary (base 2) | 1111000010110100 |
| Octal (base 8) | 170264 |
| Hexadecimal (base 16) | F0B4 |
| Base 3 | 10010112020 |
| As time | 61620 seconds = 17 h 7 min 0 s |
Is 61620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61620 ÷ 2 = 30810) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61620 ÷ 3 = 20540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61620 ÷ 4 = 15405) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61620 ÷ 5 = 12324) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61620 ÷ 6 = 10270) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61620 ÷ 10 = 6162) | 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 (61620 ÷ 12 = 5135) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61620 a prime number?
No. 61620 = × 3 × 5 × 13 × 79, so it is divisible by 2.
What are the factors of 61620?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 79, 130, 156, 158, 195, 237, 260, 316, 390, 395, 474, 780, 790, 948, 1027, 1185, 1580, 2054, 2370, 3081, 4108, 4740, 5135, 6162, 10270, 12324, 15405, 20540, 30810, 61620.
What is 61620 in binary?
1111000010110100 (hexadecimal F0B4, octal 170264).
What is the square root of 61620?
About 248.2338, exactly 2√15405.
Is 61620 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61620?
61620 is a Harshad number: divisible by its digit sum 15.