Recognised as Number
-2,740
- Negative
- Even
- 4 digits
-2,740 is an even 4-digit integer and the negative of 2,740. It has 12 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value2,740
Digit count4
Digit sum13
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
Factors & divisors
Prime factorisation−1 × 2^2 × 5 × 137
Distinct prime factors32, 5, 137
Number of divisors12
Sum of divisors σ(n)5,796
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1,370, 2,74012 in total
Arithmetic
Representations
Decimal-2,740
Binary10101011010012 bits
Octal5264
HexadecimalAB4
Base 36244
In wordsminus two thousand, seven hundred and forty
Ordinalminus two thousand, seven hundred and fortieth
Scientific notation-2.74 × 10^3
Engineering notation-2.74 × 10^3
In other bases
Ternary10202111base 3; the most digit-efficient integer base after e: 8 digits
Quinary41430base 5; one hand: 5 digits
Septenary10663base 7: 5 digits
Nonary3674base 9; each digit is two ternary digits: 4 digits
Duodecimal1704base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal6h0base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal45:40base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT1T1TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010101011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111010101001100
Bit length12 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits6within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes20a b4
Gray code111111101110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111010101001100two's complement
32-bit11111111111111111111010101001100two's complement
64-bit1111111111111111111111111111111111111111111111111111010101001100two's complement
One's complement0000101010110011at 16 bits, every bit flipped
Bits reversed0011001010101111at 16 bits
Rotated left by 11110101010011001at 16 bits, wrapping
Shifted left by 1-1010101101000= -5,480, no wrap
Shifted right by 1-10101011010= -1,370, discarding the low bit
These bits as a double1.35373987 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,740 to the power 27,507,600
-2,740 to the power 3-20,570,824,000
-2,740 to the power 456,364,057,760,000
-2,740 to the power 5-154,437,518,262,400,000
First ten multiples-2,740, -5,480, -8,220, -10,960, -13,700, -16,440, -19,180, -21,920, -24,660, -27,400
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
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 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 1
Divisible by 12No, remainder 4
Divisible by 100No, remainder 40
As a percentage & fraction
As a percentage-274,000%
-2,740% as a decimal-27.4
-2,740% of 100-2,740
-2,740% of 1,000-27,400
As a fraction of 100-2,740/100
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