The number 53400
53400 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 89. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 53400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53400: a Harshad number: divisible by its digit sum 12.
- 2
53400 is composite. Its prime factorisation is
- 3
The divisors add up to 167400; without 53400 itself that is 114000, so 53400 is abundant (114000 is more than 53400). Euler's totient φ(53400) = 14080 numbers up to 53400 share no factor with it.
- 4
The digits of 53400 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53400 = 2^{3} \times 3 \times 5^{2} \times 89 \]53400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 167400 |
| Euler totient φ(n) | 14080 |
| Square | 2851560000 |
| Cube | 152273304000000 |
| Square root | 231.084400 (= 10√534) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.34 × |
53400 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred |
| Binary (base 2) | 1101000010011000 |
| Octal (base 8) | 150230 |
| Hexadecimal (base 16) | D098 |
| Base 3 | 2201020210 |
| As time | 53400 seconds = 14 h 50 min 0 s |
Is 53400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53400 ÷ 2 = 26700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53400 ÷ 3 = 17800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53400 ÷ 4 = 13350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53400 ÷ 5 = 10680) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53400 ÷ 6 = 8900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (53400 ÷ 8 = 6675) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53400 ÷ 10 = 5340) | 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 | Yes (53400 ÷ 12 = 4450) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53400 a prime number?
No. 53400 = × 3 × × 89, so it is divisible by 2.
What are the factors of 53400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 89, 100, 120, 150, 178, 200, 267, 300, 356, 445, 534, 600, 712, 890, 1068, 1335, 1780, 2136, 2225, 2670, 3560, 4450, 5340, 6675, 8900, 10680, 13350, 17800, 26700, 53400.
What is 53400 in binary?
1101000010011000 (hexadecimal D098, octal 150230).
What is the square root of 53400?
About 231.0844, exactly 10√534.
Is 53400 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 53400?
53400 is a Harshad number: divisible by its digit sum 12.