The number 70980

Q: Is 70980 a prime number?

No. 70980 = 2^2 × 3 × 5 × 7 × 13^2, so it is divisible by 2.

70980 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × $13^{2}$ . Divisors (72): 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28 … 70980.

Number

Pick any whole number from 1 to 100,000.

70980 = 2^{2} \times 3 \times 5 \times 7 \times 13^{2}

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How to work it out

1
70980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
70980 is composite. Its prime factorisation is
$70980 = 2^{2} \times 3 \times 5 \times 7 \times 13^{2}$
3
The divisors add up to 245952; without 70980 itself that is 174972, so 70980 is abundant (174972 is more than 70980). Euler's totient φ(70980) = 14976 numbers up to 70980 share no factor with it.
4
The digits of 70980 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page

\[ 70980 = 2^{2} \times 3 \times 5 \times 7 \times 13^{2} \]

70980 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	245952
Euler totient φ(n)	14976
Square	5038160400
Cube	357608625192000
Square root	266.420720 (= 26√105)
Digit sum / digital root	24 / 6
Collatz steps to 1	81
Scientific notation	7.098 × $10^{4}$

70980 in other forms

Form	Value
In words	seventy thousand nine hundred and eighty
Binary (base 2)	10001010101000100
Octal (base 8)	212504
Hexadecimal (base 16)	11544
Base 3	10121100220
As time	70980 seconds = 19 h 43 min 0 s

Is 70980 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (70980 ÷ 2 = 35490)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (70980 ÷ 3 = 23660)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (70980 ÷ 4 = 17745)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (70980 ÷ 5 = 14196)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (70980 ÷ 6 = 11830)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (70980 ÷ 7 = 10140)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (70980 ÷ 10 = 7098)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (70980 ÷ 12 = 5915)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70980 a prime number?

No. 70980 = $2^{2}$ × 3 × 5 × 7 × $13^{2}$ , so it is divisible by 2.

What are the factors of 70980?

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 169, 182, 195, 210, 260, 273, 338, 364, 390, 420, 455, 507, 546, 676, 780, 845, 910, 1014, 1092, 1183, 1365, 1690, 1820, 2028, 2366, 2535, 2730, 3380, 3549, 4732, 5070, 5460, 5915, 7098, 10140, 11830, 14196, 17745, 23660, 35490, 70980.

What is 70980 in binary?

10001010101000100 (hexadecimal 11544, octal 212504).

What is the square root of 70980?

About 266.4207, exactly 26√105.

Is 70980 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 70980?

It is a composite number with 72 divisors.