The number 80040

Q: Is 80040 a prime number?

No. 80040 = 2^3 × 3 × 5 × 23 × 29, so it is divisible by 2.

80040 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 23 × 29. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 29, 30, 40 … 80040.

Number

Pick any whole number from 1 to 100,000.

80040 = 2^{3} \times 3 \times 5 \times 23 \times 29

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How to work it out

1
What is special about 80040: a Harshad number: divisible by its digit sum 12.
2
80040 is composite. Its prime factorisation is
$80040 = 2^{3} \times 3 \times 5 \times 23 \times 29$
3
The divisors add up to 259200; without 80040 itself that is 179160, so 80040 is abundant (179160 is more than 80040). Euler's totient φ(80040) = 19712 numbers up to 80040 share no factor with it.
4
The digits of 80040 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 32 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80040 = 2^{3} \times 3 \times 5 \times 23 \times 29 \]

80040 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	259200
Euler totient φ(n)	19712
Square	6406401600
Cube	512768384064000
Square root	282.913414 (= 2√20010)
Digit sum / digital root	12 / 3
Collatz steps to 1	32
Scientific notation	8.004 × $10^{4}$

80040 in other forms

Form	Value
In words	eighty thousand and forty
Binary (base 2)	10011100010101000
Octal (base 8)	234250
Hexadecimal (base 16)	138A8
Base 3	11001210110
As time	80040 seconds = 22 h 14 min 0 s

Is 80040 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80040 ÷ 2 = 40020)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80040 ÷ 3 = 26680)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80040 ÷ 4 = 20010)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80040 ÷ 5 = 16008)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80040 ÷ 6 = 13340)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (80040 ÷ 8 = 10005)	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 (80040 ÷ 10 = 8004)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80040 ÷ 12 = 6670)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80040 a prime number?

No. 80040 = $2^{3}$ × 3 × 5 × 23 × 29, so it is divisible by 2.

What are the factors of 80040?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 29, 30, 40, 46, 58, 60, 69, 87, 92, 115, 116, 120, 138, 145, 174, 184, 230, 232, 276, 290, 345, 348, 435, 460, 552, 580, 667, 690, 696, 870, 920, 1160, 1334, 1380, 1740, 2001, 2668, 2760, 3335, 3480, 4002, 5336, 6670, 8004, 10005, 13340, 16008, 20010, 26680, 40020, 80040.

What is 80040 in binary?

10011100010101000 (hexadecimal 138A8, octal 234250).

What is the square root of 80040?

About 282.9134, exactly 2√20010.

Is 80040 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 80040?

80040 is a Harshad number: divisible by its digit sum 12.