The number 19600

Q: Is 19600 a prime number?

No. 19600 = 2^4 × 5^2 × 7^2, so it is divisible by 2.

19600 is a perfect square (140²). Its prime factorisation is $2^{4}$ × $5^{2}$ × $7^{2}$ . Divisors (45): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 49, 50 … 19600.

Number

Pick any whole number from 1 to 100,000.

19600 = 2^{4} \times 5^{2} \times 7^{2}

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How to work it out

1
What is special about 19600: a perfect square (140²); a Harshad number: divisible by its digit sum 16.
2
19600 is composite. Its prime factorisation is
$19600 = 2^{4} \times 5^{2} \times 7^{2}$
3
The divisors add up to 54777; without 19600 itself that is 35177, so 19600 is abundant (35177 is more than 19600). Euler's totient φ(19600) = 6720 numbers up to 19600 share no factor with it.
4
The digits of 19600 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.

LaTeX source of the formulas on this page

\[ 19600 = 2^{4} \times 5^{2} \times 7^{2} \]

19600 at a glance

Property	Value
Type	composite
Number of divisors	45
Sum of divisors	54777
Euler totient φ(n)	6720
Square	384160000
Cube	7529536000000
Square root	140
Digit sum / digital root	16 / 7
Collatz steps to 1	136
Scientific notation	1.96 × $10^{4}$
Perfect power	$140^{2}$

19600 in other forms

Form	Value
In words	nineteen thousand six hundred
Binary (base 2)	100110010010000
Octal (base 8)	46220
Hexadecimal (base 16)	4C90
Base 3	222212221
As time	19600 seconds = 5 h 26 min 40 s

Is 19600 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (19600 ÷ 2 = 9800)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (19600 ÷ 4 = 4900)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (19600 ÷ 5 = 3920)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (19600 ÷ 7 = 2800)	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 (19600 ÷ 8 = 2450)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (19600 ÷ 10 = 1960)	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 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 19600 a prime number?

No. 19600 = $2^{4}$ × $5^{2}$ × $7^{2}$ , so it is divisible by 2.

What are the factors of 19600?

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 49, 50, 56, 70, 80, 98, 100, 112, 140, 175, 196, 200, 245, 280, 350, 392, 400, 490, 560, 700, 784, 980, 1225, 1400, 1960, 2450, 2800, 3920, 4900, 9800, 19600.

What is 19600 in binary?

100110010010000 (hexadecimal 4C90, octal 46220).

What is the square root of 19600?

140, because 140 × 140 = 19600.

Is 19600 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 19600?

19600 is a perfect square (140²); a Harshad number: divisible by its digit sum 16.