The number 74480
74480 is a composite number with 60 divisors. Its prime factorisation is × 5 × × 19. Divisors (60): 1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 49 … 74480.
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How to work it out
- 1
74480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74480 is composite. Its prime factorisation is
- 3
The divisors add up to 212040; without 74480 itself that is 137560, so 74480 is abundant (137560 is more than 74480). Euler's totient φ(74480) = 24192 numbers up to 74480 share no factor with it.
- 4
The digits of 74480 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74480 = 2^{4} \times 5 \times 7^{2} \times 19 \]74480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 212040 |
| Euler totient φ(n) | 24192 |
| Square | 5547270400 |
| Cube | 413160699392000 |
| Square root | 272.910242 (= 28√95) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.448 × |
74480 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and eighty |
| Binary (base 2) | 10010001011110000 |
| Octal (base 8) | 221360 |
| Hexadecimal (base 16) | 122F0 |
| Base 3 | 10210011112 |
| As time | 74480 seconds = 20 h 41 min 20 s |
Is 74480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74480 ÷ 2 = 37240) | 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 (74480 ÷ 4 = 18620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74480 ÷ 5 = 14896) | 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 | Yes (74480 ÷ 7 = 10640) | 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 (74480 ÷ 8 = 9310) | 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 (74480 ÷ 10 = 7448) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74480 a prime number?
No. 74480 = × 5 × × 19, so it is divisible by 2.
What are the factors of 74480?
1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 80, 95, 98, 112, 133, 140, 152, 190, 196, 245, 266, 280, 304, 380, 392, 490, 532, 560, 665, 760, 784, 931, 980, 1064, 1330, 1520, 1862, 1960, 2128, 2660, 3724, 3920, 4655, 5320, 7448, 9310, 10640, 14896, 18620, 37240, 74480.
What is 74480 in binary?
10010001011110000 (hexadecimal 122F0, octal 221360).
What is the square root of 74480?
About 272.9102, exactly 28√95.
Is 74480 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74480?
It is a composite number with 60 divisors.