Recognised as Number
-120,002
- Negative
- Even
- 6 digits
-120,002 is an even 6-digit integer and the negative of 120,002. It has 8 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value120,002
Digit count6
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 29 × 2,069
Distinct prime factors32, 29, 2,069
Number of divisors8
Sum of divisors σ(n)186,300
SquarefreeYesno repeated prime factor
All divisors1, 2, 29, 58, 2,069, 4,138, 60,001, 120,0028 in total
Arithmetic
Representations
Decimal-120,002
Binary1110101001100001017 bits
Octal352302
Hexadecimal1D4C2
Base 362KLE
In wordsminus one hundred and twenty thousand and two
Ordinalminus one hundred and twenty thousand and second
Scientific notation-1.20002 × 10^5
Engineering notation-120.002 × 10^3
In other bases
Ternary20002121112base 3; the most digit-efficient integer base after e: 11 digits
Quinary12320002base 5; one hand: 8 digits
Septenary1006601base 7: 7 digits
Nonary202545base 9; each digit is two ternary digits: 6 digits
Duodecimal59542base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalf002base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal33:20:2base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT100T0101111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100111111101000010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111100010101100111110
Bit length17 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits9within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes301 d4 c2
Gray code10011111010100011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111100010101100111110two's complement
64-bit1111111111111111111111111111111111111111111111100010101100111110two's complement
One's complement00000000000000011101010011000001at 32 bits, every bit flipped
Bits reversed01111100110101000111111111111111at 32 bits
Rotated left by 111111111111111000101011001111101at 32 bits, wrapping
Shifted left by 1-111010100110000100= -240,004, no wrap
Shifted right by 1-1110101001100001= -60,001, discarding the low bit
These bits as a double5.92888656 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-120,002 to the power 214,400,480,004
-120,002 to the power 3-1,728,086,401,440,008
-120,002 to the power 4207,373,824,345,603,840,016
-120,002 to the power 5-24,885,273,669,121,152,009,600,032
First ten multiples-120,002, -240,004, -360,006, -480,008, -600,010, -720,012, -840,014, -960,016, -1,080,018, -1,200,020
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 1
Divisible by 8No, remainder 2
Divisible by 9No, remainder 5
Divisible by 10No, remainder 2
Divisible by 11No, remainder 3
Divisible by 12No, remainder 2
Divisible by 100No, remainder 2
As a percentage & fraction
As a percentage-12,000,200%
-120,002% as a decimal-1,200.02
-120,002% of 100-120,002
-120,002% of 1,000-1,200,020
As a fraction of 100-120,002/100
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