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1,056,132

1,056,132 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.).

1,056,132 (one million fifty-six thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 7 × 11 × 127. Its proper divisors sum to 2,384,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D84.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
2,316,501
Square (n²)
1,115,414,801,424
Cube (n³)
1,178,025,265,057,531,968
Divisor count
96
σ(n) — sum of divisors
3,440,640
φ(n) — Euler's totient
272,160
Sum of prime factors
158

Primality

Prime factorization: 2 2 × 3 3 × 7 × 11 × 127

Nearest primes: 1,056,113 (−19) · 1,056,149 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 11 · 12 · 14 · 18 · 21 · 22 · 27 · 28 · 33 · 36 · 42 · 44 · 54 · 63 · 66 · 77 · 84 · 99 · 108 · 126 · 127 · 132 · 154 · 189 · 198 · 231 · 252 · 254 · 297 · 308 · 378 · 381 · 396 · 462 · 508 · 594 · 693 · 756 · 762 · 889 · 924 · 1143 · 1188 · 1386 · 1397 · 1524 · 1778 · 2079 · 2286 · 2667 · 2772 · 2794 · 3429 · 3556 · 4158 · 4191 · 4572 · 5334 · 5588 · 6858 · 8001 · 8316 · 8382 · 9779 · 10668 · 12573 · 13716 · 16002 · 16764 · 19558 · 24003 · 25146 · 29337 · 32004 · 37719 · 39116 · 48006 · 50292 · 58674 · 75438 · 88011 · 96012 · 117348 · 150876 · 176022 · 264033 · 352044 · 528066 (half) · 1056132
Aliquot sum (sum of proper divisors): 2,384,508
Factor pairs (a × b = 1,056,132)
1 × 1056132
2 × 528066
3 × 352044
4 × 264033
6 × 176022
7 × 150876
9 × 117348
11 × 96012
12 × 88011
14 × 75438
18 × 58674
21 × 50292
22 × 48006
27 × 39116
28 × 37719
33 × 32004
36 × 29337
42 × 25146
44 × 24003
54 × 19558
63 × 16764
66 × 16002
77 × 13716
84 × 12573
99 × 10668
108 × 9779
126 × 8382
127 × 8316
132 × 8001
154 × 6858
189 × 5588
198 × 5334
231 × 4572
252 × 4191
254 × 4158
297 × 3556
308 × 3429
378 × 2794
381 × 2772
396 × 2667
462 × 2286
508 × 2079
594 × 1778
693 × 1524
756 × 1397
762 × 1386
889 × 1188
924 × 1143
First multiples
1,056,132 · 2,112,264 (double) · 3,168,396 · 4,224,528 · 5,280,660 · 6,336,792 · 7,392,924 · 8,449,056 · 9,505,188 · 10,561,320

Sums & aliquot sequence

As consecutive integers: 352,043 + 352,044 + 352,045 150,873 + 150,874 + … + 150,879 132,013 + 132,014 + … + 132,020 117,344 + 117,345 + … + 117,352
Aliquot sequence: 1,056,132 → 2,384,508 → 3,974,404 → 4,161,724 → 4,161,780 → 10,799,628 → 18,365,172 → 34,749,708 → 62,797,812 → 136,114,188 → 227,975,412 → 379,959,244 → 380,490,964 → 380,491,020 → 1,156,305,780 → 3,107,211,660 → 7,664,459,796 — unresolved within range

Continued fraction of √n

√1,056,132 = [1027; (1, 2, 6, 1, 1, 5, 1, 1, 1, 2, 1, 11, 2, 3, 2, 2, 6, 2, 6, 2, 2, 3, 2, 11, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand one hundred thirty-two
Ordinal
1056132nd
Binary
100000001110110000100
Octal
4016604
Hexadecimal
0x101D84
Base64
EB2E
One's complement
4,293,911,163 (32-bit)
Scientific notation
1.056132 × 10⁶
As a duration
1,056,132 s = 12 days, 5 hours, 22 minutes, 12 seconds
In other bases
ternary (3) 1222122202000
quaternary (4) 10001312010
quinary (5) 232244012
senary (6) 34345300
septenary (7) 11656050
nonary (9) 1878660
undecimal (11) 661540
duodecimal (12) 42b230
tridecimal (13) 2ac93c
tetradecimal (14) 1d6c60
pentadecimal (15) 15cddc

As an angle

1,056,132° = 2,933 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬六千一百三十二
Chinese (financial)
壹佰零伍萬陸仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٠٥٦١٣٢ Devanagari १०५६१३२ Bengali ১০৫৬১৩২ Tamil ௧௦௫௬௧௩௨ Thai ๑๐๕๖๑๓๒ Tibetan ༡༠༥༦༡༣༢ Khmer ១០៥៦១៣២ Lao ໑໐໕໖໑໓໒ Burmese ၁၀၅၆၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056132, here are decompositions:

  • 19 + 1056113 = 1056132
  • 23 + 1056109 = 1056132
  • 43 + 1056089 = 1056132
  • 59 + 1056073 = 1056132
  • 61 + 1056071 = 1056132
  • 71 + 1056061 = 1056132
  • 79 + 1056053 = 1056132
  • 83 + 1056049 = 1056132

Showing the first eight; more decompositions exist.

Hex color
#101D84
RGB(16, 29, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.132.

Address
0.16.29.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 6132 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6132-05-01 (DMMYYYY (Euro, single-digit day))
  • 6132-10-05 (MMDYYYY (US, single-digit day))
  • 6132-05-10 (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 1,056,132 and was likely granted around 1912.

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°.