The number 20120
20120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 503. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 503, 1006, 2012, 2515, 4024, 5030, 10060, 20120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20120: a Harshad number: divisible by its digit sum 5.
- 2
20120 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 20120 itself that is 25240, so 20120 is abundant (25240 is more than 20120). Euler's totient φ(20120) = 8032 numbers up to 20120 share no factor with it.
- 4
The digits of 20120 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20120 = 2^{3} \times 5 \times 503 \]20120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 8032 |
| Square | 404814400 |
| Cube | 8144865728000 |
| Square root | 141.844986 (= 2√5030) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.012 × |
20120 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and twenty |
| Binary (base 2) | 100111010011000 |
| Octal (base 8) | 47230 |
| Hexadecimal (base 16) | 4E98 |
| Base 3 | 1000121012 |
| As time | 20120 seconds = 5 h 35 min 20 s |
Is 20120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20120 ÷ 2 = 10060) | 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 (20120 ÷ 4 = 5030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20120 ÷ 5 = 4024) | 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 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 (20120 ÷ 8 = 2515) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20120 ÷ 10 = 2012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 20120 a prime number?
No. 20120 = × 5 × 503, so it is divisible by 2.
What are the factors of 20120?
1, 2, 4, 5, 8, 10, 20, 40, 503, 1006, 2012, 2515, 4024, 5030, 10060, 20120.
What is 20120 in binary?
100111010011000 (hexadecimal 4E98, octal 47230).
What is the square root of 20120?
About 141.8450, exactly 2√5030.
Is 20120 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 20120?
20120 is a Harshad number: divisible by its digit sum 5.