Recognised as Number
-1,052,142
- Negative
- Even
- 7 digits
-1,052,142 is an even 7-digit integer and the negative of 1,052,142. It has 64 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,052,142
Digit count7
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3 × 7 × 13 × 41 × 47
Distinct prime factors62, 3, 7, 13, 41, 47
Number of divisors64
Sum of divisors σ(n)2,709,504
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 41, 42, 47, 78, 82, 91, 94, 123, 141, 182, 246, 273, 282, 287, 329, 533, 546, 574, 611, 658, 861, 987, 1,066, 1,222, 1,599, 1,722, 1,833, 1,927, 1,974, 3,198, 3,666, 3,731, 3,854, 4,277, 5,781, 7,462, 8,554, 11,193, 11,562, 12,831, 13,489, 22,386, 25,051, 25,662, 26,978, 40,467, 50,102, 75,153, 80,934, 150,306, 175,357, 350,714, 526,071, 1,052,14264 in total
Arithmetic
Previous number-1,052,143
Next number-1,052,141
Double-2,104,284
Half-526,071
Square1,107,002,788,164
Cube-1,164,724,127,544,447,288
Cube root-101.708703689≈
Negation1,052,142
Reciprocal-9.50442051 × 10^-7≈
Representations
Decimal-1,052,142
Binary10000000011011110111021 bits
Octal4006756
Hexadecimal100DEE
Base 36MJU6
In wordsminus one million, fifty-two thousand, one hundred and forty-two
Ordinalminus one million, fifty-two thousand, one hundred and forty-second
Scientific notation-1.052142 × 10^6
Engineering notation-1.052142 × 10^6
In other bases
Ternary1222110021020base 3; the most digit-efficient integer base after e: 13 digits
Quinary232132032base 5; one hand: 9 digits
Septenary11641320base 7: 8 digits
Nonary1873236base 9; each digit is two ternary digits: 7 digits
Duodecimal428a66base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal6ba72base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:52:15:42base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT1001TT0T1TT10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100000011011000010110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111011111111001000010010
Bit length21 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits11within that length
Bit parityeven10 set bits, so even; not the same as the number itself being even
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes310 0d ee
Gray code110000000101100011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111011111111001000010010two's complement
64-bit1111111111111111111111111111111111111111111011111111001000010010two's complement
One's complement00000000000100000000110111101101at 32 bits, every bit flipped
Bits reversed01001000010011111111011111111111at 32 bits
Rotated left by 111111111110111111110010000100101at 32 bits, wrapping
Shifted left by 1-1000000001101111011100= -2,104,284, no wrap
Shifted right by 1-10000000011011110111= -526,071, discarding the low bit
These bits as a double5.19827217 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,052,142 to the power 21,107,002,788,164
-1,052,142 to the power 3-1,164,724,127,544,447,288
-1,052,142 to the power 41,225,455,173,002,869,858,490,896
-1,052,142 to the power 5-1,289,352,856,633,585,498,652,328,299,232
First ten multiples-1,052,142, -2,104,284, -3,156,426, -4,208,568, -5,260,710, -6,312,852, -7,364,994, -8,417,136, -9,469,278, -10,521,420
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8No, remainder 6
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 3
Divisible by 12No, remainder 6
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-105,214,200%
-1,052,142% as a decimal-10,521.42
-1,052,142% of 100-1,052,142
-1,052,142% of 1,000-10,521,420
As a fraction of 100-1,052,142/100
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