The number 1480
1480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 37. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1480 is composite. Its prime factorisation is
- 3
The divisors add up to 3420; without 1480 itself that is 1940, so 1480 is abundant (1940 is more than 1480). Euler's totient φ(1480) = 576 numbers up to 1480 share no factor with it.
- 4
The digits of 1480 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1480 = 2^{3} \times 5 \times 37 \]1480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3420 |
| Euler totient φ(n) | 576 |
| Square | 2190400 |
| Cube | 3241792000 |
| Square root | 38.470768 (= 2√370) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.48 × |
1480 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and eighty |
| Roman numerals | MCDLXXX |
| Binary (base 2) | 10111001000 |
| Octal (base 8) | 2710 |
| Hexadecimal (base 16) | 5C8 |
| Base 3 | 2000211 |
| As time | 1480 seconds = 24 min 40 s |
Is 1480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1480 ÷ 2 = 740) | 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 (1480 ÷ 4 = 370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1480 ÷ 5 = 296) | 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 (1480 ÷ 8 = 185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1480 ÷ 10 = 148) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 1480 a prime number?
No. 1480 = × 5 × 37, so it is divisible by 2.
What are the factors of 1480?
1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480.
What is 1480 in binary?
10111001000 (hexadecimal 5C8, octal 2710).
What is the square root of 1480?
About 38.4708, exactly 2√370.
What is 1480 in Roman numerals?
MCDLXXX.
Is 1480 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1480?
It is a composite number with 16 divisors.