The number 74490
74490 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 191. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195 … 74490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74490 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74490 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 74490 itself that is 119046, so 74490 is abundant (119046 is more than 74490). Euler's totient φ(74490) = 18240 numbers up to 74490 share no factor with it.
- 4
The digits of 74490 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74490 = 2 \times 3 \times 5 \times 13 \times 191 \]
74490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 18240 |
| Square | 5548760100 |
| Cube | 413327139849000 |
| Square root | 272.928562 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.449 × |
74490 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and ninety |
| Binary (base 2) | 10010001011111010 |
| Octal (base 8) | 221372 |
| Hexadecimal (base 16) | 122FA |
| Base 3 | 10210011220 |
| As time | 74490 seconds = 20 h 41 min 30 s |
Is 74490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74490 ÷ 2 = 37245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74490 ÷ 3 = 24830) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74490 ÷ 5 = 14898) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74490 ÷ 6 = 12415) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74490 ÷ 10 = 7449) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74490 a prime number?
No. 74490 = 2 × 3 × 5 × 13 × 191, so it is divisible by 2.
What are the factors of 74490?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 191, 195, 382, 390, 573, 955, 1146, 1910, 2483, 2865, 4966, 5730, 7449, 12415, 14898, 24830, 37245, 74490.
What is 74490 in binary?
10010001011111010 (hexadecimal 122FA, octal 221372).
What is the square root of 74490?
About 272.9286.
Is 74490 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74490?
It is a composite number with 32 divisors.