Number
1,320,000
- Positive
- Even
- Composite
- 7 digits
1,320,000 is an even 7-digit integer and a composite number. It has 140 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,320,000
Digit count7
Digit sum6
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^6 × 3 × 5^4 × 11
Distinct prime factors42, 3, 5, 11
Number of divisors140
Sum of divisors σ(n)4,760,976
Aliquot sum3,440,976sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)320,000integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 32, 33, 40, 44, 48, 50, 55, 60, 64, 66, 75, 80, 88, 96, 100, 110, 120, 125, 132, 150, 160, 165, 176, 192, 200, 220, 240, 250, 264, 275, 300, 320, 330, 352, 375, 400, 440, 480, 500, 528, 550, 600, 625, 660, 704, 750, 800, 825, 880, 960, 1,000, 1,056, 1,100, 1,200, 1,250, 1,320, 1,375, 1,500, 1,600, 1,650, 1,760, 1,875, 2,000, 2,112, 2,200, 2,400, 2,500, 2,640, 2,750, 3,000, 3,300, 3,520, 3,750, 4,000, 4,125, 4,400, 4,800, 5,000, 5,280, 5,500, 6,000, 6,600, 6,875, 7,500, 8,000, 8,250, 8,800, 10,000, 10,560, 11,000, 12,000, 13,200, 13,750, 15,000, 16,500, 17,600, 20,000, 20,625, 22,000, 24,000, 26,400, 27,500, 30,000, 33,000, 40,000, 41,250, 44,000, 52,800, 55,000, 60,000, 66,000, 82,500, 88,000, 110,000, 120,000, 132,000, 165,000, 220,000, 264,000, 330,000, 440,000, 660,000, 1,320,000140 in total
Arithmetic
Previous number1,319,999
Next number1,320,001
Double2,640,000
Half660,000
Square1,742,400,000,000
Cube2,299,968,000,000,000,000
Square root1,148.912529308≈irrational, shown to 9 decimal places
Cube root109.696131049≈
Negation-1,320,000
Reciprocal7.57575758 × 10^-7≈
Representations
Decimal1,320,000
Binary10100001001000100000021 bits
Octal5022100
Hexadecimal142440
Base 36SAIO
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, three hundred and twenty thousand
Ordinalone million, three hundred and twenty thousandth
Scientific notation1.32 × 10^6
Engineering notation1.32 × 10^6
Nearest landmarks
Powers & multiples
1,320,000 to the power 21,742,400,000,000
1,320,000 to the power 32,299,968,000,000,000,000
1,320,000 to the power 43,035,957,760,000,000,000,000,000
1,320,000 to the power 54,007,464,243,200,000,000,000,000,000,000
First ten multiples1,320,000, 2,640,000, 3,960,000, 5,280,000, 6,600,000, 7,920,000, 9,240,000, 10,560,000, 11,880,000, 13,200,000
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12Yes
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 193the total stopping time
Highest value reached1,320,000
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,320,000 → 660,000 → 330,000 → 165,000 → 82,500 → 41,250 → 20,625 → 61,876 → 30,938 → 15,469 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage132,000,000%
1,320,000% as a decimal13,200
1,320,000% of 1001,320,000
1,320,000% of 1,00013,200,000
As a fraction of 1001,320,000/100
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