The number 16940

Q: Is 16940 a prime number?

No. 16940 = 2^2 × 5 × 7 × 11^2, so it is divisible by 2.

16940 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × 7 × $11^{2}$ . Divisors (36): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77 … 16940.

Number

Pick any whole number from 1 to 100,000.

16940 = 2^{2} \times 5 \times 7 \times 11^{2}

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How to work it out

1
What is special about 16940: a Harshad number: divisible by its digit sum 20.
2
16940 is composite. Its prime factorisation is
$16940 = 2^{2} \times 5 \times 7 \times 11^{2}$
3
The divisors add up to 44688; without 16940 itself that is 27748, so 16940 is abundant (27748 is more than 16940). Euler's totient φ(16940) = 5280 numbers up to 16940 share no factor with it.
4
The digits of 16940 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 58 steps to reach 1.

LaTeX source of the formulas on this page

\[ 16940 = 2^{2} \times 5 \times 7 \times 11^{2} \]

16940 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	44688
Euler totient φ(n)	5280
Square	286963600
Cube	4861163384000
Square root	130.153755 (= 22√35)
Digit sum / digital root	20 / 2
Collatz steps to 1	58
Scientific notation	1.694 × $10^{4}$

16940 in other forms

Form	Value
In words	sixteen thousand nine hundred and forty
Binary (base 2)	100001000101100
Octal (base 8)	41054
Hexadecimal (base 16)	422C
Base 3	212020102
As time	16940 seconds = 4 h 42 min 20 s

Is 16940 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (16940 ÷ 2 = 8470)	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 (16940 ÷ 4 = 4235)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (16940 ÷ 5 = 3388)	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 (16940 ÷ 7 = 2420)	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 (16940 ÷ 10 = 1694)	A number is divisible by 10 if the last digit is 0.
11	Yes (16940 ÷ 11 = 1540)	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 16940 a prime number?

No. 16940 = $2^{2}$ × 5 × 7 × $11^{2}$ , so it is divisible by 2.

What are the factors of 16940?

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 121, 140, 154, 220, 242, 308, 385, 484, 605, 770, 847, 1210, 1540, 1694, 2420, 3388, 4235, 8470, 16940.

What is 16940 in binary?

100001000101100 (hexadecimal 422C, octal 41054).

What is the square root of 16940?

About 130.1538, exactly 22√35.

Is 16940 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 16940?

16940 is a Harshad number: divisible by its digit sum 20.