Number
1,040,400
- Positive
- Even
- Composite
- Perfect square
- 7 digits
1,040,400 is an even 7-digit integer and a composite number. It has 135 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,040,400
Digit count7
Digit sum9
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 1,020²
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3^2 × 5^2 × 17^2
Distinct prime factors42, 3, 5, 17
Number of divisors135
Sum of divisors σ(n)3,835,351
Aliquot sum2,794,951sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)261,120integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 25, 30, 34, 36, 40, 45, 48, 50, 51, 60, 68, 72, 75, 80, 85, 90, 100, 102, 120, 136, 144, 150, 153, 170, 180, 200, 204, 225, 240, 255, 272, 289, 300, 306, 340, 360, 400, 408, 425, 450, 510, 578, 600, 612, 680, 720, 765, 816, 850, 867, 900, 1,020, 1,156, 1,200, 1,224, 1,275, 1,360, 1,445, 1,530, 1,700, 1,734, 1,800, 2,040, 2,312, 2,448, 2,550, 2,601, 2,890, 3,060, 3,400, 3,468, 3,600, 3,825, 4,080, 4,335, 4,624, 5,100, 5,202, 5,780, 6,120, 6,800, 6,936, 7,225, 7,650, 8,670, 10,200, 10,404, 11,560, 12,240, 13,005, 13,872, 14,450, 15,300, 17,340, 20,400, 20,808, 21,675, 23,120, 26,010, 28,900, 30,600, 34,680, 41,616, 43,350, 52,020, 57,800, 61,200, 65,025, 69,360, 86,700, 104,040, 115,600, 130,050, 173,400, 208,080, 260,100, 346,800, 520,200, 1,040,400135 in total
Arithmetic
Previous number1,040,399
Next number1,040,401
Double2,080,800
Half520,200
Square1,082,432,160,000
Cube1,126,162,419,264,000,000
Square root1,020exact
Cube root101.32892794≈
Negation-1,040,400
Reciprocal9.61168781 × 10^-7≈
Representations
Decimal1,040,400
Binary1111111000000001000020 bits
Octal3760020
HexadecimalFE010
Base 36MAS0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, forty thousand, four hundred
Ordinalone million, forty thousand, four hundredth
Scientific notation1.0404 × 10^6
Engineering notation1.0404 × 10^6
Nearest landmarks
Powers & multiples
1,040,400 to the power 21,082,432,160,000
1,040,400 to the power 31,126,162,419,264,000,000
1,040,400 to the power 41,171,659,381,002,265,600,000,000
1,040,400 to the power 51,218,994,419,994,757,130,240,000,000,000
First ten multiples1,040,400, 2,080,800, 3,121,200, 4,161,600, 5,202,000, 6,242,400, 7,282,800, 8,323,200, 9,363,600, 10,404,000
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 1165the total stopping time
Highest value reached1,040,400
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,040,400 → 520,200 → 260,100 → 130,050 → 65,025 → 195,076 → 97,538 → 48,769 → 146,308 → 73,154 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage104,040,000%
1,040,400% as a decimal10,404
1,040,400% of 1001,040,400
1,040,400% of 1,00010,404,000
As a fraction of 1001,040,400/100
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