The number 1420
1420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 71. Divisors (12): 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1420 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1420 itself that is 1604, so 1420 is abundant (1604 is more than 1420). Euler's totient φ(1420) = 560 numbers up to 1420 share no factor with it.
- 4
The digits of 1420 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1420 = 2^{2} \times 5 \times 71 \]1420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 560 |
| Square | 2016400 |
| Cube | 2863288000 |
| Square root | 37.682887 (= 2√355) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.42 × |
1420 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty |
| Roman numerals | MCDXX |
| Binary (base 2) | 10110001100 |
| Octal (base 8) | 2614 |
| Hexadecimal (base 16) | 58C |
| Base 3 | 1221121 |
| As time | 1420 seconds = 23 min 40 s |
Is 1420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1420 ÷ 2 = 710) | 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 (1420 ÷ 4 = 355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1420 ÷ 5 = 284) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1420 ÷ 10 = 142) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1420 a prime number?
No. 1420 = × 5 × 71, so it is divisible by 2.
What are the factors of 1420?
1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420.
What is 1420 in binary?
10110001100 (hexadecimal 58C, octal 2614).
What is the square root of 1420?
About 37.6829, exactly 2√355.
What is 1420 in Roman numerals?
MCDXX.
Is 1420 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1420?
It is a composite number with 12 divisors.