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1,064,112

1,064,112 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.).

1,064,112 (one million sixty-four thousand one hundred twelve) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 3,167. Its proper divisors sum to 2,078,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103CB0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
2,114,601
Square (n²)
1,132,334,348,544
Cube (n³)
1,204,930,568,297,852,928
Divisor count
40
σ(n) — sum of divisors
3,142,656
φ(n) — Euler's totient
303,936
Sum of prime factors
3,185

Primality

Prime factorization: 2 4 × 3 × 7 × 3167

Nearest primes: 1,064,087 (−25) · 1,064,117 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 3167 · 6334 · 9501 · 12668 · 19002 · 22169 · 25336 · 38004 · 44338 · 50672 · 66507 · 76008 · 88676 · 133014 · 152016 · 177352 · 266028 · 354704 · 532056 (half) · 1064112
Aliquot sum (sum of proper divisors): 2,078,544
Factor pairs (a × b = 1,064,112)
1 × 1064112
2 × 532056
3 × 354704
4 × 266028
6 × 177352
7 × 152016
8 × 133014
12 × 88676
14 × 76008
16 × 66507
21 × 50672
24 × 44338
28 × 38004
42 × 25336
48 × 22169
56 × 19002
84 × 12668
112 × 9501
168 × 6334
336 × 3167
First multiples
1,064,112 · 2,128,224 (double) · 3,192,336 · 4,256,448 · 5,320,560 · 6,384,672 · 7,448,784 · 8,512,896 · 9,577,008 · 10,641,120

Sums & aliquot sequence

As consecutive integers: 354,703 + 354,704 + 354,705 152,013 + 152,014 + … + 152,019 50,662 + 50,663 + … + 50,682 33,238 + 33,239 + … + 33,269
Aliquot sequence: 1,064,112 → 2,078,544 → 3,705,808 → 3,474,226 → 2,982,734 → 1,818,946 → 1,081,214 → 674,386 → 390,494 → 268,738 → 134,372 → 134,428 → 134,484 → 224,364 → 374,164 → 430,220 → 623,140 — unresolved within range

Continued fraction of √n

√1,064,112 = [1031; (1, 1, 3, 1, 4, 5, 1, 1, 43, 2, 1, 5, 5, 4, 1, 3, 14, 6, 14, 3, 1, 4, 5, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million sixty-four thousand one hundred twelve
Ordinal
1064112th
Binary
100000011110010110000
Octal
4036260
Hexadecimal
0x103CB0
Base64
EDyw
One's complement
4,293,903,183 (32-bit)
Scientific notation
1.064112 × 10⁶
As a duration
1,064,112 s = 12 days, 7 hours, 35 minutes, 12 seconds
In other bases
ternary (3) 2000001200120
quaternary (4) 10003302300
quinary (5) 233022422
senary (6) 34450240
septenary (7) 12021240
nonary (9) 2001616
undecimal (11) 667535
duodecimal (12) 433980
tridecimal (13) 2b346a
tetradecimal (14) 1d9b20
pentadecimal (15) 16045c

As an angle

1,064,112° = 2,955 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese
一百零六萬四千一百一十二
Chinese (financial)
壹佰零陸萬肆仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٦٤١١٢ Devanagari १०६४११२ Bengali ১০৬৪১১২ Tamil ௧௦௬௪௧௧௨ Thai ๑๐๖๔๑๑๒ Tibetan ༡༠༦༤༡༡༢ Khmer ១០៦៤១១២ Lao ໑໐໖໔໑໑໒ Burmese ၁၀၆၄၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064112, here are decompositions:

  • 43 + 1064069 = 1064112
  • 53 + 1064059 = 1064112
  • 83 + 1064029 = 1064112
  • 113 + 1063999 = 1064112
  • 139 + 1063973 = 1064112
  • 149 + 1063963 = 1064112
  • 151 + 1063961 = 1064112
  • 191 + 1063921 = 1064112

Showing the first eight; more decompositions exist.

Hex color
#103CB0
RGB(16, 60, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.176.

Address
0.16.60.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.60.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 6, 4112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4112-06-01 (DMMYYYY (Euro, single-digit day))
  • 4112-10-06 (MMDYYYY (US, single-digit day))
  • 4112-06-10 (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 1,064,112 and was likely granted around 1913.

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°.