Recognised as Number
-1,048,576
- Negative
- Even
- Perfect square
- 7 digits
-1,048,576 is an even 7-digit integer and the negative of 1,048,576. It has 21 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,048,576
Digit count7
Digit sum31
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 1,024²
Factors & divisors
Prime factorisation−1 × 2^20
Distinct prime factors12
Number of divisors21
Sum of divisors σ(n)2,097,151
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048, 4,096, 8,192, 16,384, 32,768, 65,536, 131,072, 262,144, 524,288, 1,048,57621 in total
Arithmetic
Previous number-1,048,577
Next number-1,048,575
Double-2,097,152
Half-524,288
Square1,099,511,627,776
Cube-1,152,921,504,606,846,976
Cube root-101.593667326≈
Negation1,048,576
Reciprocal-9.53674316 × 10^-7≈
Representations
Decimal-1,048,576
Binary10000000000000000000021 bits
Octal4000000
Hexadecimal100000
Base 36MH34
In wordsminus one million, forty-eight thousand, five hundred and seventy-six
Ordinalminus one million, forty-eight thousand, five hundred and seventy-sixth
Scientific notation-1.048576 × 10^6
Engineering notation-1.048576 × 10^6
In other bases
Ternary1222021101011base 3; the most digit-efficient integer base after e — 13 digits
Quinary232023301base 5; one hand — 9 digits
Septenary11625034base 7 — 8 digits
Nonary1867334base 9; each digit is two ternary digits — 7 digits
Duodecimal426994base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 6 digits
Vigesimal6b18gbase 20; hands and feet, and the Mayan and Yoruba systems — 5 digits
Sexagesimal4:51:16:16base 60; Babylonian, and still how an hour and a circle are divided — 4 digits
Balanced ternaryT1001T1TT0T0TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100000000000000000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111100000000000000000000
Bit length21 bitsto write the magnitude
Set bits1the population count, or Hamming weight
Zero bits20within that length
Bit parityodd1 set bits, so odd; not the same as the number itself being even
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 2020 trailing zeros
Power of twoNo
Bytes310 00 00
Gray code110000000000000000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111100000000000000000000two's complement
64-bit1111111111111111111111111111111111111111111100000000000000000000two's complement
One's complement00000000000011111111111111111111at 32 bits, every bit flipped
Bits reversed00000000000000000000111111111111at 32 bits
Rotated left by 111111111111000000000000000000001at 32 bits, wrapping
Shifted left by 1-1000000000000000000000= -2,097,152, no wrap
Shifted right by 1-10000000000000000000= -524,288, discarding the low bit
These bits as a double5.18065379 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,048,576 to the power 21,099,511,627,776
-1,048,576 to the power 3-1,152,921,504,606,846,976
-1,048,576 to the power 41,208,925,819,614,629,174,706,176
-1,048,576 to the power 5-1,267,650,600,228,229,401,496,703,205,376
First ten multiples-1,048,576, -2,097,152, -3,145,728, -4,194,304, -5,242,880, -6,291,456, -7,340,032, -8,388,608, -9,437,184, -10,485,760
Powers of twoExactly 2^20
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10No, remainder 6
Divisible by 11No, remainder 1
Divisible by 12No, remainder 4
Divisible by 100No, remainder 76
As a percentage & fraction
As a percentage-104,857,600%
-1,048,576% as a decimal-10,485.76
-1,048,576% of 100-1,048,576
-1,048,576% of 1,000-10,485,760
As a fraction of 100-1,048,576/100
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