The number 98120
98120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 223. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223 … 98120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98120: a Harshad number: divisible by its digit sum 20.
- 2
98120 is composite. Its prime factorisation is
- 3
The divisors add up to 241920; without 98120 itself that is 143800, so 98120 is abundant (143800 is more than 98120). Euler's totient φ(98120) = 35520 numbers up to 98120 share no factor with it.
- 4
The digits of 98120 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98120 = 2^{3} \times 5 \times 11 \times 223 \]98120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 241920 |
| Euler totient φ(n) | 35520 |
| Square | 9627534400 |
| Cube | 944653675328000 |
| Square root | 313.241121 (= 2√24530) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.812 × |
98120 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and twenty |
| Binary (base 2) | 10111111101001000 |
| Octal (base 8) | 277510 |
| Hexadecimal (base 16) | 17F48 |
| Base 3 | 11222121002 |
| As time | 98120 seconds = 27 h 15 min 20 s |
Is 98120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98120 ÷ 2 = 49060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98120 ÷ 4 = 24530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98120 ÷ 5 = 19624) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (98120 ÷ 8 = 12265) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98120 ÷ 10 = 9812) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98120 ÷ 11 = 8920) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98120 a prime number?
No. 98120 = × 5 × 11 × 223, so it is divisible by 2.
What are the factors of 98120?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223, 440, 446, 892, 1115, 1784, 2230, 2453, 4460, 4906, 8920, 9812, 12265, 19624, 24530, 49060, 98120.
What is 98120 in binary?
10111111101001000 (hexadecimal 17F48, octal 277510).
What is the square root of 98120?
About 313.2411, exactly 2√24530.
Is 98120 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98120?
98120 is a Harshad number: divisible by its digit sum 20.