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1,023,664

1,023,664 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.).

1,023,664 (one million twenty-three thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 137 × 467. Written other ways, in hexadecimal, 0xF9EB0.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,663,201
Square (n²)
1,047,887,984,896
Cube (n³)
1,072,685,206,170,578,944
Divisor count
20
σ(n) — sum of divisors
2,002,104
φ(n) — Euler's totient
507,008
Sum of prime factors
612

Primality

Prime factorization: 2 4 × 137 × 467

Nearest primes: 1,023,653 (−11) · 1,023,697 (+33)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 137 · 274 · 467 · 548 · 934 · 1096 · 1868 · 2192 · 3736 · 7472 · 63979 · 127958 · 255916 · 511832 (half) · 1023664
Aliquot sum (sum of proper divisors): 978,440
Factor pairs (a × b = 1,023,664)
1 × 1023664
2 × 511832
4 × 255916
8 × 127958
16 × 63979
137 × 7472
274 × 3736
467 × 2192
548 × 1868
934 × 1096
First multiples
1,023,664 · 2,047,328 (double) · 3,070,992 · 4,094,656 · 5,118,320 · 6,141,984 · 7,165,648 · 8,189,312 · 9,212,976 · 10,236,640

Sums & aliquot sequence

As consecutive integers: 31,974 + 31,975 + … + 32,005 7,404 + 7,405 + … + 7,540 1,959 + 1,960 + … + 2,425
Aliquot sequence: 1,023,664 978,440 1,264,720 1,675,940 2,346,652 3,056,228 3,378,844 3,499,916 3,542,644 3,852,044 3,852,100 5,702,844 9,504,964 9,750,076 9,750,132 19,480,524 34,150,452 — unresolved within range

Continued fraction of √n

√1,023,664 = [1011; (1, 3, 4, 1, 1, 1, 2, 16, 2, 1, 8, 1, 2, 1, 4, 1, 1, 1, 7, 3, 2, 5, 3, 6, …)]

Representations

In words
one million twenty-three thousand six hundred sixty-four
Ordinal
1023664th
Binary
11111001111010110000
Octal
3717260
Hexadecimal
0xF9EB0
Base64
D56w
One's complement
4,293,943,631 (32-bit)
Scientific notation
1.023664 × 10⁶
As a duration
1,023,664 s = 11 days, 20 hours, 21 minutes, 4 seconds
In other bases
ternary (3) 1221000012111
quaternary (4) 3321322300
quinary (5) 230224124
senary (6) 33535104
septenary (7) 11462305
nonary (9) 1830174
undecimal (11) 63a104
duodecimal (12) 414494
tridecimal (13) 29ac25
tetradecimal (14) 1c90ac
pentadecimal (15) 153494

As an angle

1,023,664° = 2,843 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零二萬三千六百六十四
Chinese (financial)
壹佰零貳萬參仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٢٣٦٦٤ Devanagari १०२३६६४ Bengali ১০২৩৬৬৪ Tamil ௧௦௨௩௬௬௪ Thai ๑๐๒๓๖๖๔ Tibetan ༡༠༢༣༦༦༤ Khmer ១០២៣៦៦៤ Lao ໑໐໒໓໖໖໔ Burmese ၁၀၂၃၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023664, here are decompositions:

  • 11 + 1023653 = 1023664
  • 107 + 1023557 = 1023664
  • 113 + 1023551 = 1023664
  • 197 + 1023467 = 1023664
  • 251 + 1023413 = 1023664
  • 311 + 1023353 = 1023664
  • 347 + 1023317 = 1023664
  • 353 + 1023311 = 1023664

Showing the first eight; more decompositions exist.

Hex color
#0F9EB0
RGB(15, 158, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.158.176.

Address
0.15.158.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.158.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 3664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3664-02-01 (DMMYYYY (Euro, single-digit day))
  • 3664-10-02 (MMDYYYY (US, single-digit day))
  • 3664-02-10 (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 1,023,664 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°.