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1,056,112

1,056,112 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.).

1,056,112 (one million fifty-six thousand one hundred twelve) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 149 × 443. Written other ways, in hexadecimal, 0x101D70.

Arithmetic Number Deficient Number Evil Number Happy Number Harshad / Niven

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
2,116,501
Square (n²)
1,115,372,556,544
Cube (n³)
1,177,958,341,436,796,928
Divisor count
20
σ(n) — sum of divisors
2,064,600
φ(n) — Euler's totient
523,328
Sum of prime factors
600

Primality

Prime factorization: 2 4 × 149 × 443

Nearest primes: 1,056,109 (−3) · 1,056,113 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 149 · 298 · 443 · 596 · 886 · 1192 · 1772 · 2384 · 3544 · 7088 · 66007 · 132014 · 264028 · 528056 (half) · 1056112
Aliquot sum (sum of proper divisors): 1,008,488
Factor pairs (a × b = 1,056,112)
1 × 1056112
2 × 528056
4 × 264028
8 × 132014
16 × 66007
149 × 7088
298 × 3544
443 × 2384
596 × 1772
886 × 1192
First multiples
1,056,112 · 2,112,224 (double) · 3,168,336 · 4,224,448 · 5,280,560 · 6,336,672 · 7,392,784 · 8,448,896 · 9,505,008 · 10,561,120

Sums & aliquot sequence

As consecutive integers: 32,988 + 32,989 + … + 33,019 7,014 + 7,015 + … + 7,162 2,163 + 2,164 + … + 2,605
Aliquot sequence: 1,056,112 → 1,008,488 → 1,028,092 → 1,025,204 → 768,910 → 696,866 → 348,436 → 316,844 → 321,556 → 270,924 → 370,164 → 504,556 → 480,148 → 451,244 → 347,260 → 393,620 → 433,024 — unresolved within range

Continued fraction of √n

√1,056,112 = [1027; (1, 2, 16, 1, 15, 4, 7, 8, 3, 1, 1, 120, 2, 1, 292, 1, 20, 2, 2, 2, 1, 1, 1, 1, …)]

Representations

In words
one million fifty-six thousand one hundred twelve
Ordinal
1056112th
Binary
100000001110101110000
Octal
4016560
Hexadecimal
0x101D70
Base64
EB1w
One's complement
4,293,911,183 (32-bit)
Scientific notation
1.056112 × 10⁶
As a duration
1,056,112 s = 12 days, 5 hours, 21 minutes, 52 seconds
In other bases
ternary (3) 1222122201021
quaternary (4) 10001311300
quinary (5) 232243422
senary (6) 34345224
septenary (7) 11656021
nonary (9) 1878637
undecimal (11) 661522
duodecimal (12) 42b214
tridecimal (13) 2ac925
tetradecimal (14) 1d6c48
pentadecimal (15) 15cdc7

As an angle

1,056,112° = 2,933 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零五萬六千一百一十二
Chinese (financial)
壹佰零伍萬陸仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٥٦١١٢ Devanagari १०५६११२ Bengali ১০৫৬১১২ Tamil ௧௦௫௬௧௧௨ Thai ๑๐๕๖๑๑๒ Tibetan ༡༠༥༦༡༡༢ Khmer ១០៥៦១១២ Lao ໑໐໕໖໑໑໒ Burmese ၁၀၅၆၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056112, here are decompositions:

  • 3 + 1056109 = 1056112
  • 23 + 1056089 = 1056112
  • 41 + 1056071 = 1056112
  • 59 + 1056053 = 1056112
  • 131 + 1055981 = 1056112
  • 173 + 1055939 = 1056112
  • 179 + 1055933 = 1056112
  • 311 + 1055801 = 1056112

Showing the first eight; more decompositions exist.

Hex color
#101D70
RGB(16, 29, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.112.

Address
0.16.29.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 6112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6112-05-01 (DMMYYYY (Euro, single-digit day))
  • 6112-10-05 (MMDYYYY (US, single-digit day))
  • 6112-05-10 (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 1,056,112 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°.