Recognised as Number
-2,000,000
- Negative
- Even
- 7 digits
-2,000,000 is an even 7-digit integer and the negative of 2,000,000. It has 56 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value2,000,000
Digit count7
Digit sum2
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^7 × 5^6
Distinct prime factors22, 5
Number of divisors56
Sum of divisors σ(n)4,980,405
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 625, 640, 800, 1,000, 1,250, 1,600, 2,000, 2,500, 3,125, 3,200, 4,000, 5,000, 6,250, 8,000, 10,000, 12,500, 15,625, 16,000, 20,000, 25,000, 31,250, 40,000, 50,000, 62,500, 80,000, 100,000, 125,000, 200,000, 250,000, 400,000, 500,000, 1,000,000, 2,000,00056 in total
Arithmetic
Previous number-2,000,001
Next number-1,999,999
Double-4,000,000
Half-1,000,000
Square4,000,000,000,000
Cube-8,000,000,000,000,000,000
Cube root-125.992104989≈
Negation2,000,000
Reciprocal-5 × 10^-7≈
Representations
Decimal-2,000,000
Binary11110100001001000000021 bits
Octal7502200
Hexadecimal1E8480
Base 3616V7K
In wordsminus two million
Ordinalminus two millionth
Scientific notation-2 × 10^6
Engineering notation-2 × 10^6
In other bases
Ternary10202121111002base 3; the most digit-efficient integer base after e: 14 digits
Quinary1003000000base 5; one hand: 10 digits
Septenary22666622base 7: 8 digits
Nonary3677432base 9; each digit is two ternary digits: 7 digits
Duodecimal8054a8base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimalca000base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal9:15:33:20base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryTT1T011TTTT0T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001101000110010000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111000010111101110000000
Bit length21 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits14within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 77 trailing zeros
Power of twoNo
Bytes31e 84 80
Gray code100011100011011000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111000010111101110000000two's complement
64-bit1111111111111111111111111111111111111111111000010111101110000000two's complement
One's complement00000000000111101000010001111111at 32 bits, every bit flipped
Bits reversed00000001110111101000011111111111at 32 bits
Rotated left by 111111111110000101111011100000001at 32 bits, wrapping
Shifted left by 1-1111010000100100000000= -4,000,000, no wrap
Shifted right by 1-11110100001001000000= -1,000,000, discarding the low bit
These bits as a double9.88131292 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,000,000 to the power 24,000,000,000,000
-2,000,000 to the power 3-8,000,000,000,000,000,000
-2,000,000 to the power 416,000,000,000,000,000,000,000,000
-2,000,000 to the power 5-32,000,000,000,000,000,000,000,000,000,000
First ten multiples-2,000,000, -4,000,000, -6,000,000, -8,000,000, -10,000,000, -12,000,000, -14,000,000, -16,000,000, -18,000,000, -20,000,000
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 2
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12No, remainder 8
Divisible by 100Yes
As a percentage & fraction
As a percentage-200,000,000%
-2,000,000% as a decimal-20,000
-2,000,000% of 100-2,000,000
-2,000,000% of 1,000-20,000,000
As a fraction of 100-2,000,000/100
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Derived from -2,000,000
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