Recognised as Number
-1,420
- Negative
- Even
- 4 digits
-1,420 is an even 4-digit integer and the negative of 1,420. It has 12 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,420
Digit count4
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 5 × 71
Distinct prime factors32, 5, 71
Number of divisors12
Sum of divisors σ(n)3,024
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1,42012 in total
Arithmetic
Representations
Decimal-1,420
Binary1011000110011 bits
Octal2614
Hexadecimal58C
Base 3613G
In wordsminus one thousand, four hundred and twenty
Ordinalminus one thousand, four hundred and twentieth
Scientific notation-1.42 × 10^3
Engineering notation-1.42 × 10^3
In other bases
Ternary1221121base 3; the most digit-efficient integer base after e: 7 digits
Quinary21140base 5; one hand: 5 digits
Septenary4066base 7: 4 digits
Nonary1847base 9; each digit is two ternary digits: 4 digits
Duodecimal9a4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3b0base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT100111Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110110100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101001110100
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes205 8c
Gray code11101001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101001110100two's complement
32-bit11111111111111111111101001110100two's complement
64-bit1111111111111111111111111111111111111111111111111111101001110100two's complement
One's complement0000010110001011at 16 bits, every bit flipped
Bits reversed0010111001011111at 16 bits
Rotated left by 11111010011101001at 16 bits, wrapping
Shifted left by 1-101100011000= -2,840, no wrap
Shifted right by 1-1011000110= -710, discarding the low bit
These bits as a double7.01573217 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,420 to the power 22,016,400
-1,420 to the power 3-2,863,288,000
-1,420 to the power 44,065,868,960,000
-1,420 to the power 5-5,773,533,923,200,000
First ten multiples-1,420, -2,840, -4,260, -5,680, -7,100, -8,520, -9,940, -11,360, -12,780, -14,200
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12No, remainder 4
Divisible by 100No, remainder 20
As a percentage & fraction
As a percentage-142,000%
-1,420% as a decimal-14.2
-1,420% of 100-1,420
-1,420% of 1,000-14,200
As a fraction of 100-1,420/100
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