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1,011,132

1,011,132 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,011,132 (one million eleven thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 28,087. Its proper divisors sum to 1,544,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6DBC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,311,101
Square (n²)
1,022,387,921,424
Cube (n³)
1,033,769,143,765,291,968
Divisor count
18
σ(n) — sum of divisors
2,556,008
φ(n) — Euler's totient
337,032
Sum of prime factors
28,097

Primality

Prime factorization: 2 2 × 3 2 × 28087

Nearest primes: 1,011,107 (−25) · 1,011,137 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 28087 · 56174 · 84261 · 112348 · 168522 · 252783 · 337044 · 505566 (half) · 1011132
Aliquot sum (sum of proper divisors): 1,544,876
Factor pairs (a × b = 1,011,132)
1 × 1011132
2 × 505566
3 × 337044
4 × 252783
6 × 168522
9 × 112348
12 × 84261
18 × 56174
36 × 28087
First multiples
1,011,132 · 2,022,264 (double) · 3,033,396 · 4,044,528 · 5,055,660 · 6,066,792 · 7,077,924 · 8,089,056 · 9,100,188 · 10,111,320

Sums & aliquot sequence

As consecutive integers: 337,043 + 337,044 + 337,045 126,388 + 126,389 + … + 126,395 112,344 + 112,345 + … + 112,352 42,119 + 42,120 + … + 42,142
Aliquot sequence: 1,011,132 1,544,876 1,158,664 1,196,546 736,378 368,192 430,384 427,200 990,120 2,074,200 4,357,680 9,403,344 17,588,976 27,849,336 42,469,464 64,000,536 105,648,804 — unresolved within range

Continued fraction of √n

√1,011,132 = [1005; (1, 1, 4, 2, 3, 1, 2, 1, 42, 18, 2, 2, 1, 12, 1, 7, 45, 1, 1, 2, 1, 1, 2, 20, …)]

Representations

In words
one million eleven thousand one hundred thirty-two
Ordinal
1011132nd
Binary
11110110110110111100
Octal
3666674
Hexadecimal
0xF6DBC
Base64
D228
One's complement
4,293,956,163 (32-bit)
Scientific notation
1.011132 × 10⁶
As a duration
1,011,132 s = 11 days, 16 hours, 52 minutes, 12 seconds
In other bases
ternary (3) 1220101000100
quaternary (4) 3312312330
quinary (5) 224324012
senary (6) 33401100
septenary (7) 11410623
nonary (9) 1811010
undecimal (11) 630751
duodecimal (12) 409190
tridecimal (13) 295305
tetradecimal (14) 1c46ba
pentadecimal (15) 14e8dc

As an angle

1,011,132° = 2,808 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬一千一百三十二
Chinese (financial)
壹佰零壹萬壹仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٠١١١٣٢ Devanagari १०१११३२ Bengali ১০১১১৩২ Tamil ௧௦௧௧௧௩௨ Thai ๑๐๑๑๑๓๒ Tibetan ༡༠༡༡༡༣༢ Khmer ១០១១១៣២ Lao ໑໐໑໑໑໓໒ Burmese ၁၀၁၁၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011132, here are decompositions:

  • 41 + 1011091 = 1011132
  • 53 + 1011079 = 1011132
  • 61 + 1011071 = 1011132
  • 103 + 1011029 = 1011132
  • 131 + 1011001 = 1011132
  • 139 + 1010993 = 1011132
  • 149 + 1010983 = 1011132
  • 151 + 1010981 = 1011132

Showing the first eight; more decompositions exist.

Hex color
#0F6DBC
RGB(15, 109, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.188.

Address
0.15.109.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.109.188

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 1132 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1132-10-01 (MMDYYYY (US, single-digit day))
  • 1132-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,011,132 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.