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1,018,368

1,018,368 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.).

1,018,368 (one million eighteen thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁹ × 3² × 13 × 17. Its proper divisors sum to 2,332,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8A00.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,638,101
Square (n²)
1,037,073,383,424
Cube (n³)
1,056,122,347,330,732,032
Divisor count
120
σ(n) — sum of divisors
3,351,348
φ(n) — Euler's totient
294,912
Sum of prime factors
54

Primality

Prime factorization: 2 9 × 3 2 × 13 × 17

Nearest primes: 1,018,357 (−11) · 1,018,411 (+43)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 17 · 18 · 24 · 26 · 32 · 34 · 36 · 39 · 48 · 51 · 52 · 64 · 68 · 72 · 78 · 96 · 102 · 104 · 117 · 128 · 136 · 144 · 153 · 156 · 192 · 204 · 208 · 221 · 234 · 256 · 272 · 288 · 306 · 312 · 384 · 408 · 416 · 442 · 468 · 512 · 544 · 576 · 612 · 624 · 663 · 768 · 816 · 832 · 884 · 936 · 1088 · 1152 · 1224 · 1248 · 1326 · 1536 · 1632 · 1664 · 1768 · 1872 · 1989 · 2176 · 2304 · 2448 · 2496 · 2652 · 3264 · 3328 · 3536 · 3744 · 3978 · 4352 · 4608 · 4896 · 4992 · 5304 · 6528 · 6656 · 7072 · 7488 · 7956 · 8704 · 9792 · 9984 · 10608 · 13056 · 14144 · 14976 · 15912 · 19584 · 19968 · 21216 · 26112 · 28288 · 29952 · 31824 · 39168 · 42432 · 56576 · 59904 · 63648 · 78336 · 84864 · 113152 · 127296 · 169728 · 254592 · 339456 · 509184 (half) · 1018368
Aliquot sum (sum of proper divisors): 2,332,980
Factor pairs (a × b = 1,018,368)
1 × 1018368
2 × 509184
3 × 339456
4 × 254592
6 × 169728
8 × 127296
9 × 113152
12 × 84864
13 × 78336
16 × 63648
17 × 59904
18 × 56576
24 × 42432
26 × 39168
32 × 31824
34 × 29952
36 × 28288
39 × 26112
48 × 21216
51 × 19968
52 × 19584
64 × 15912
68 × 14976
72 × 14144
78 × 13056
96 × 10608
102 × 9984
104 × 9792
117 × 8704
128 × 7956
136 × 7488
144 × 7072
153 × 6656
156 × 6528
192 × 5304
204 × 4992
208 × 4896
221 × 4608
234 × 4352
256 × 3978
272 × 3744
288 × 3536
306 × 3328
312 × 3264
384 × 2652
408 × 2496
416 × 2448
442 × 2304
468 × 2176
512 × 1989
544 × 1872
576 × 1768
612 × 1664
624 × 1632
663 × 1536
768 × 1326
816 × 1248
832 × 1224
884 × 1152
936 × 1088
First multiples
1,018,368 · 2,036,736 (double) · 3,055,104 · 4,073,472 · 5,091,840 · 6,110,208 · 7,128,576 · 8,146,944 · 9,165,312 · 10,183,680

Sums & aliquot sequence

As a sum of two squares: 48² + 1,008² = 432² + 912²
As consecutive integers: 339,455 + 339,456 + 339,457 113,148 + 113,149 + … + 113,156 78,330 + 78,331 + … + 78,342 59,896 + 59,897 + … + 59,912
Aliquot sequence: 1,018,368 2,332,980 5,295,732 8,204,748 10,988,580 19,924,764 26,995,956 41,409,612 63,742,708 47,870,864 44,878,966 28,793,162 14,396,584 12,597,026 8,033,878 4,084,802 2,042,404 — unresolved within range

Continued fraction of √n

√1,018,368 = [1009; (7, 31, 2, 1, 1, 4, 1, 125, 3, 8, 1, 30, 1, 1, 1, 3, 1, 503, 1, 3, 1, 1, 1, 30, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million eighteen thousand three hundred sixty-eight
Ordinal
1018368th
Binary
11111000101000000000
Octal
3705000
Hexadecimal
0xF8A00
Base64
D4oA
One's complement
4,293,948,927 (32-bit)
Scientific notation
1.018368 × 10⁶
As a duration
1,018,368 s = 11 days, 18 hours, 52 minutes, 48 seconds
In other bases
ternary (3) 1220201221100
quaternary (4) 3320220000
quinary (5) 230041433
senary (6) 33454400
septenary (7) 11441001
nonary (9) 1821840
undecimal (11) 63612a
duodecimal (12) 411400
tridecimal (13) 2986b0
tetradecimal (14) 1c71a8
pentadecimal (15) 151b13

As an angle

1,018,368° = 2,828 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬八千三百六十八
Chinese (financial)
壹佰零壹萬捌仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٠١٨٣٦٨ Devanagari १०१८३६८ Bengali ১০১৮৩৬৮ Tamil ௧௦௧௮௩௬௮ Thai ๑๐๑๘๓๖๘ Tibetan ༡༠༡༨༣༦༨ Khmer ១០១៨៣៦៨ Lao ໑໐໑໘໓໖໘ Burmese ၁၀၁၈၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018368, here are decompositions:

  • 11 + 1018357 = 1018368
  • 31 + 1018337 = 1018368
  • 59 + 1018309 = 1018368
  • 67 + 1018301 = 1018368
  • 97 + 1018271 = 1018368
  • 151 + 1018217 = 1018368
  • 167 + 1018201 = 1018368
  • 191 + 1018177 = 1018368

Showing the first eight; more decompositions exist.

Hex color
#0F8A00
RGB(15, 138, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.138.0.

Address
0.15.138.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.138.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 8368 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8368-10-01 (MMDYYYY (US, single-digit day))
  • 8368-01-10 (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 1,018,368 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°.