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1,009,368

1,009,368 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.).

1,009,368 (one million nine thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3³ × 4,673. Its proper divisors sum to 1,795,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF66D8.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,639,001
Recamán's sequence
a(346,715) = 1,009,368
Square (n²)
1,018,823,759,424
Cube (n³)
1,028,368,100,402,284,032
Divisor count
32
σ(n) — sum of divisors
2,804,400
φ(n) — Euler's totient
336,384
Sum of prime factors
4,688

Primality

Prime factorization: 2 3 × 3 3 × 4673

Nearest primes: 1,009,361 (−7) · 1,009,369 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 4673 · 9346 · 14019 · 18692 · 28038 · 37384 · 42057 · 56076 · 84114 · 112152 · 126171 · 168228 · 252342 · 336456 · 504684 (half) · 1009368
Aliquot sum (sum of proper divisors): 1,795,032
Factor pairs (a × b = 1,009,368)
1 × 1009368
2 × 504684
3 × 336456
4 × 252342
6 × 168228
8 × 126171
9 × 112152
12 × 84114
18 × 56076
24 × 42057
27 × 37384
36 × 28038
54 × 18692
72 × 14019
108 × 9346
216 × 4673
First multiples
1,009,368 · 2,018,736 (double) · 3,028,104 · 4,037,472 · 5,046,840 · 6,056,208 · 7,065,576 · 8,074,944 · 9,084,312 · 10,093,680

Sums & aliquot sequence

As consecutive integers: 336,455 + 336,456 + 336,457 112,148 + 112,149 + … + 112,156 63,078 + 63,079 + … + 63,093 37,371 + 37,372 + … + 37,397
Aliquot sequence: 1,009,368 1,795,032 3,133,008 5,635,466 3,315,034 1,950,074 1,392,934 747,554 373,780 483,020 531,364 412,124 314,140 356,180 460,300 538,768 516,720 — unresolved within range

Continued fraction of √n

√1,009,368 = [1004; (1, 2, 16, 1, 86, 2, 2, 1, 1, 1, 5, 10, 1, 2, 1, 7, 1, 11, 251, 11, 1, 7, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million nine thousand three hundred sixty-eight
Ordinal
1009368th
Binary
11110110011011011000
Octal
3663330
Hexadecimal
0xF66D8
Base64
D2bY
One's complement
4,293,957,927 (32-bit)
Scientific notation
1.009368 × 10⁶
As a duration
1,009,368 s = 11 days, 16 hours, 22 minutes, 48 seconds
In other bases
ternary (3) 1220021121000
quaternary (4) 3312123120
quinary (5) 224244433
senary (6) 33345000
septenary (7) 11402523
nonary (9) 1807530
undecimal (11) 62a398
duodecimal (12) 408160
tridecimal (13) 294579
tetradecimal (14) 1c3bba
pentadecimal (15) 14e113

As an angle

1,009,368° = 2,803 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬九千三百六十八
Chinese (financial)
壹佰萬玖仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٠٩٣٦٨ Devanagari १००९३६८ Bengali ১০০৯৩৬৮ Tamil ௧௦௦௯௩௬௮ Thai ๑๐๐๙๓๖๘ Tibetan ༡༠༠༩༣༦༨ Khmer ១០០៩៣៦៨ Lao ໑໐໐໙໓໖໘ Burmese ၁၀၀၉၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009368, here are decompositions:

  • 7 + 1009361 = 1009368
  • 11 + 1009357 = 1009368
  • 47 + 1009321 = 1009368
  • 67 + 1009301 = 1009368
  • 79 + 1009289 = 1009368
  • 109 + 1009259 = 1009368
  • 131 + 1009237 = 1009368
  • 167 + 1009201 = 1009368

Showing the first eight; more decompositions exist.

Hex color
#0F66D8
RGB(15, 102, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.102.216.

Address
0.15.102.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.102.216

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

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 1,009,368 and was likely granted around 1911.

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°.