The number 61120
61120 is a composite number with 28 divisors. Its prime factorisation is × 5 × 191. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 191, 320, 382 … 61120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61120: a Harshad number: divisible by its digit sum 10.
- 2
61120 is composite. Its prime factorisation is
- 3
The divisors add up to 146304; without 61120 itself that is 85184, so 61120 is abundant (85184 is more than 61120). Euler's totient φ(61120) = 24320 numbers up to 61120 share no factor with it.
- 4
The digits of 61120 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61120 = 2^{6} \times 5 \times 191 \]61120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 146304 |
| Euler totient φ(n) | 24320 |
| Square | 3735654400 |
| Cube | 228323196928000 |
| Square root | 247.224594 (= 8√955) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.112 × |
61120 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty |
| Binary (base 2) | 1110111011000000 |
| Octal (base 8) | 167300 |
| Hexadecimal (base 16) | EEC0 |
| Base 3 | 10002211201 |
| As time | 61120 seconds = 16 h 58 min 40 s |
Is 61120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61120 ÷ 2 = 30560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61120 ÷ 4 = 15280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61120 ÷ 5 = 12224) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (61120 ÷ 8 = 7640) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61120 ÷ 10 = 6112) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61120 a prime number?
No. 61120 = × 5 × 191, so it is divisible by 2.
What are the factors of 61120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 191, 320, 382, 764, 955, 1528, 1910, 3056, 3820, 6112, 7640, 12224, 15280, 30560, 61120.
What is 61120 in binary?
1110111011000000 (hexadecimal EEC0, octal 167300).
What is the square root of 61120?
About 247.2246, exactly 8√955.
Is 61120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 61120?
61120 is a Harshad number: divisible by its digit sum 10.