The number 20140
20140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 53. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 53, 76, 95, 106, 190, 212, 265, 380 … 20140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20140 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 20140 itself that is 25220, so 20140 is abundant (25220 is more than 20140). Euler's totient φ(20140) = 7488 numbers up to 20140 share no factor with it.
- 4
The digits of 20140 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20140 = 2^{2} \times 5 \times 19 \times 53 \]20140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 7488 |
| Square | 405619600 |
| Cube | 8169178744000 |
| Square root | 141.915468 (= 2√5035) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.014 × |
20140 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and forty |
| Binary (base 2) | 100111010101100 |
| Octal (base 8) | 47254 |
| Hexadecimal (base 16) | 4EAC |
| Base 3 | 1000121221 |
| As time | 20140 seconds = 5 h 35 min 40 s |
Is 20140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20140 ÷ 2 = 10070) | 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 (20140 ÷ 4 = 5035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20140 ÷ 5 = 4028) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20140 ÷ 10 = 2014) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 20140 a prime number?
No. 20140 = × 5 × 19 × 53, so it is divisible by 2.
What are the factors of 20140?
1, 2, 4, 5, 10, 19, 20, 38, 53, 76, 95, 106, 190, 212, 265, 380, 530, 1007, 1060, 2014, 4028, 5035, 10070, 20140.
What is 20140 in binary?
100111010101100 (hexadecimal 4EAC, octal 47254).
What is the square root of 20140?
About 141.9155, exactly 2√5035.
Is 20140 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 20140?
It is a composite number with 24 divisors.