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1,049,664

1,049,664 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.).

1,049,664 (one million forty-nine thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 7 × 11 × 71. Its proper divisors sum to 2,461,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100440.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
4,669,401
Square (n²)
1,101,794,512,896
Cube (n³)
1,156,514,035,584,466,944
Divisor count
112
σ(n) — sum of divisors
3,511,296
φ(n) — Euler's totient
268,800
Sum of prime factors
104

Primality

Prime factorization: 2 6 × 3 × 7 × 11 × 71

Nearest primes: 1,049,663 (−1) · 1,049,677 (+13)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 24 · 28 · 32 · 33 · 42 · 44 · 48 · 56 · 64 · 66 · 71 · 77 · 84 · 88 · 96 · 112 · 132 · 142 · 154 · 168 · 176 · 192 · 213 · 224 · 231 · 264 · 284 · 308 · 336 · 352 · 426 · 448 · 462 · 497 · 528 · 568 · 616 · 672 · 704 · 781 · 852 · 924 · 994 · 1056 · 1136 · 1232 · 1344 · 1491 · 1562 · 1704 · 1848 · 1988 · 2112 · 2272 · 2343 · 2464 · 2982 · 3124 · 3408 · 3696 · 3976 · 4544 · 4686 · 4928 · 5467 · 5964 · 6248 · 6816 · 7392 · 7952 · 9372 · 10934 · 11928 · 12496 · 13632 · 14784 · 15904 · 16401 · 18744 · 21868 · 23856 · 24992 · 31808 · 32802 · 37488 · 43736 · 47712 · 49984 · 65604 · 74976 · 87472 · 95424 · 131208 · 149952 · 174944 · 262416 · 349888 · 524832 (half) · 1049664
Aliquot sum (sum of proper divisors): 2,461,632
Factor pairs (a × b = 1,049,664)
1 × 1049664
2 × 524832
3 × 349888
4 × 262416
6 × 174944
7 × 149952
8 × 131208
11 × 95424
12 × 87472
14 × 74976
16 × 65604
21 × 49984
22 × 47712
24 × 43736
28 × 37488
32 × 32802
33 × 31808
42 × 24992
44 × 23856
48 × 21868
56 × 18744
64 × 16401
66 × 15904
71 × 14784
77 × 13632
84 × 12496
88 × 11928
96 × 10934
112 × 9372
132 × 7952
142 × 7392
154 × 6816
168 × 6248
176 × 5964
192 × 5467
213 × 4928
224 × 4686
231 × 4544
264 × 3976
284 × 3696
308 × 3408
336 × 3124
352 × 2982
426 × 2464
448 × 2343
462 × 2272
497 × 2112
528 × 1988
568 × 1848
616 × 1704
672 × 1562
704 × 1491
781 × 1344
852 × 1232
924 × 1136
994 × 1056
First multiples
1,049,664 · 2,099,328 (double) · 3,148,992 · 4,198,656 · 5,248,320 · 6,297,984 · 7,347,648 · 8,397,312 · 9,446,976 · 10,496,640

Sums & aliquot sequence

As consecutive integers: 349,887 + 349,888 + 349,889 149,949 + 149,950 + … + 149,955 95,419 + 95,420 + … + 95,429 49,974 + 49,975 + … + 49,994
Aliquot sequence: 1,049,664 2,461,632 4,051,944 8,569,566 9,997,866 12,746,934 14,871,462 14,919,690 20,887,638 20,887,650 46,816,350 85,877,538 93,345,438 98,849,922 106,609,278 137,246,082 151,693,278 — unresolved within range

Continued fraction of √n

√1,049,664 = [1024; (1, 1, 7, 1, 1, 6, 1, 1, 3, 1, 2, 1, 7, 3, 3, 81, 1, 1, 1, 19, 1, 4, 1, 2, …)]

Representations

In words
one million forty-nine thousand six hundred sixty-four
Ordinal
1049664th
Binary
100000000010001000000
Octal
4002100
Hexadecimal
0x100440
Base64
EARA
One's complement
4,293,917,631 (32-bit)
Scientific notation
1.049664 × 10⁶
As a duration
1,049,664 s = 12 days, 3 hours, 34 minutes, 24 seconds
In other bases
ternary (3) 1222022212110
quaternary (4) 10000101000
quinary (5) 232042124
senary (6) 34255320
septenary (7) 11631150
nonary (9) 1868773
undecimal (11) 6576a0
duodecimal (12) 427540
tridecimal (13) 2a9a05
tetradecimal (14) 1d4760
pentadecimal (15) 15b029

As an angle

1,049,664° = 2,915 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零四萬九千六百六十四
Chinese (financial)
壹佰零肆萬玖仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٤٩٦٦٤ Devanagari १०४९६६४ Bengali ১০৪৯৬৬৪ Tamil ௧௦௪௯௬௬௪ Thai ๑๐๔๙๖๖๔ Tibetan ༡༠༤༩༦༦༤ Khmer ១០៤៩៦៦៤ Lao ໑໐໔໙໖໖໔ Burmese ၁၀၄၉၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049664, here are decompositions:

  • 41 + 1049623 = 1049664
  • 53 + 1049611 = 1049664
  • 61 + 1049603 = 1049664
  • 127 + 1049537 = 1049664
  • 131 + 1049533 = 1049664
  • 137 + 1049527 = 1049664
  • 167 + 1049497 = 1049664
  • 181 + 1049483 = 1049664

Showing the first eight; more decompositions exist.

Hex color
#100440
RGB(16, 4, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.64.

Address
0.16.4.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.4.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 9664 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9664-04-01 (DMMYYYY (Euro, single-digit day))
  • 9664-10-04 (MMDYYYY (US, single-digit day))
  • 9664-04-10 (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 1,049,664 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°.