The number 74900
74900 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 107. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 107, 140 … 74900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74900: a Harshad number: divisible by its digit sum 20.
- 2
74900 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 74900 itself that is 112588, so 74900 is abundant (112588 is more than 74900). Euler's totient φ(74900) = 25440 numbers up to 74900 share no factor with it.
- 4
The digits of 74900 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74900 = 2^{2} \times 5^{2} \times 7 \times 107 \]74900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 25440 |
| Square | 5610010000 |
| Cube | 420189749000000 |
| Square root | 273.678644 (= 10√749) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.49 × |
74900 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred |
| Binary (base 2) | 10010010010010100 |
| Octal (base 8) | 222224 |
| Hexadecimal (base 16) | 12494 |
| Base 3 | 10210202002 |
| As time | 74900 seconds = 20 h 48 min 20 s |
Is 74900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74900 ÷ 2 = 37450) | 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 (74900 ÷ 4 = 18725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74900 ÷ 5 = 14980) | 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 (74900 ÷ 7 = 10700) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74900 ÷ 10 = 7490) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74900 a prime number?
No. 74900 = × × 7 × 107, so it is divisible by 2.
What are the factors of 74900?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 107, 140, 175, 214, 350, 428, 535, 700, 749, 1070, 1498, 2140, 2675, 2996, 3745, 5350, 7490, 10700, 14980, 18725, 37450, 74900.
What is 74900 in binary?
10010010010010100 (hexadecimal 12494, octal 222224).
What is the square root of 74900?
About 273.6786, exactly 10√749.
Is 74900 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74900?
74900 is a Harshad number: divisible by its digit sum 20.