The number 65400

Q: Is 65400 a prime number?

No. 65400 = 2^3 × 3 × 5^2 × 109, so it is divisible by 2.

65400 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × $5^{2}$ × 109. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 65400.

Number

Pick any whole number from 1 to 100,000.

65400 = 2^{3} \times 3 \times 5^{2} \times 109

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How to work it out

1
What is special about 65400: a Harshad number: divisible by its digit sum 15.
2
65400 is composite. Its prime factorisation is
$65400 = 2^{3} \times 3 \times 5^{2} \times 109$
3
The divisors add up to 204600; without 65400 itself that is 139200, so 65400 is abundant (139200 is more than 65400). Euler's totient φ(65400) = 17280 numbers up to 65400 share no factor with it.
4
The digits of 65400 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page

\[ 65400 = 2^{3} \times 3 \times 5^{2} \times 109 \]

65400 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	204600
Euler totient φ(n)	17280
Square	4277160000
Cube	279726264000000
Square root	255.734237 (= 10√654)
Digit sum / digital root	15 / 6
Collatz steps to 1	148
Scientific notation	6.54 × $10^{4}$

65400 in other forms

Form	Value
In words	sixty-five thousand four hundred
Binary (base 2)	1111111101111000
Octal (base 8)	177570
Hexadecimal (base 16)	FF78
Base 3	10022201020
As time	65400 seconds = 18 h 10 min 0 s

Is 65400 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (65400 ÷ 2 = 32700)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (65400 ÷ 3 = 21800)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (65400 ÷ 4 = 16350)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (65400 ÷ 5 = 13080)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (65400 ÷ 6 = 10900)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 (65400 ÷ 8 = 8175)	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 (65400 ÷ 10 = 6540)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 5)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (65400 ÷ 12 = 5450)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 65400 a prime number?

No. 65400 = $2^{3}$ × 3 × $5^{2}$ × 109, so it is divisible by 2.

What are the factors of 65400?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 109, 120, 150, 200, 218, 300, 327, 436, 545, 600, 654, 872, 1090, 1308, 1635, 2180, 2616, 2725, 3270, 4360, 5450, 6540, 8175, 10900, 13080, 16350, 21800, 32700, 65400.

What is 65400 in binary?

1111111101111000 (hexadecimal FF78, octal 177570).

What is the square root of 65400?

About 255.7342, exactly 10√654.

Is 65400 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 65400?

65400 is a Harshad number: divisible by its digit sum 15.