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1,018,440

1,018,440 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.).

1,018,440 (one million eighteen thousand four hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 23 × 41. Its proper divisors sum to 2,610,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8A48.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
448,101
Square (n²)
1,037,220,033,600
Cube (n³)
1,056,346,371,019,584,000
Divisor count
128
σ(n) — sum of divisors
3,628,800
φ(n) — Euler's totient
253,440
Sum of prime factors
84

Primality

Prime factorization: 2 3 × 3 3 × 5 × 23 × 41

Nearest primes: 1,018,439 (−1) · 1,018,447 (+7)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 23 · 24 · 27 · 30 · 36 · 40 · 41 · 45 · 46 · 54 · 60 · 69 · 72 · 82 · 90 · 92 · 108 · 115 · 120 · 123 · 135 · 138 · 164 · 180 · 184 · 205 · 207 · 216 · 230 · 246 · 270 · 276 · 328 · 345 · 360 · 369 · 410 · 414 · 460 · 492 · 540 · 552 · 615 · 621 · 690 · 738 · 820 · 828 · 920 · 943 · 984 · 1035 · 1080 · 1107 · 1230 · 1242 · 1380 · 1476 · 1640 · 1656 · 1845 · 1886 · 2070 · 2214 · 2460 · 2484 · 2760 · 2829 · 2952 · 3105 · 3690 · 3772 · 4140 · 4428 · 4715 · 4920 · 4968 · 5535 · 5658 · 6210 · 7380 · 7544 · 8280 · 8487 · 8856 · 9430 · 11070 · 11316 · 12420 · 14145 · 14760 · 16974 · 18860 · 22140 · 22632 · 24840 · 25461 · 28290 · 33948 · 37720 · 42435 · 44280 · 50922 · 56580 · 67896 · 84870 · 101844 · 113160 · 127305 · 169740 · 203688 · 254610 · 339480 · 509220 (half) · 1018440
Aliquot sum (sum of proper divisors): 2,610,360
Factor pairs (a × b = 1,018,440)
1 × 1018440
2 × 509220
3 × 339480
4 × 254610
5 × 203688
6 × 169740
8 × 127305
9 × 113160
10 × 101844
12 × 84870
15 × 67896
18 × 56580
20 × 50922
23 × 44280
24 × 42435
27 × 37720
30 × 33948
36 × 28290
40 × 25461
41 × 24840
45 × 22632
46 × 22140
54 × 18860
60 × 16974
69 × 14760
72 × 14145
82 × 12420
90 × 11316
92 × 11070
108 × 9430
115 × 8856
120 × 8487
123 × 8280
135 × 7544
138 × 7380
164 × 6210
180 × 5658
184 × 5535
205 × 4968
207 × 4920
216 × 4715
230 × 4428
246 × 4140
270 × 3772
276 × 3690
328 × 3105
345 × 2952
360 × 2829
369 × 2760
410 × 2484
414 × 2460
460 × 2214
492 × 2070
540 × 1886
552 × 1845
615 × 1656
621 × 1640
690 × 1476
738 × 1380
820 × 1242
828 × 1230
920 × 1107
943 × 1080
984 × 1035
First multiples
1,018,440 · 2,036,880 (double) · 3,055,320 · 4,073,760 · 5,092,200 · 6,110,640 · 7,129,080 · 8,147,520 · 9,165,960 · 10,184,400

Sums & aliquot sequence

As consecutive integers: 339,479 + 339,480 + 339,481 203,686 + 203,687 + 203,688 + 203,689 + 203,690 113,156 + 113,157 + … + 113,164 67,889 + 67,890 + … + 67,903
Aliquot sequence: 1,018,440 2,610,360 6,094,440 17,514,360 40,870,440 111,539,160 263,436,840 618,447,960 1,620,274,680 3,732,016,680 10,851,871,320 — keeps growing

Continued fraction of √n

√1,018,440 = [1009; (5, 1, 1, 1, 1, 1, 4, 16, 2, 6, 2, 223, 1, 3, 1, 15, 2, 10, 2, 15, 1, 3, 1, 223, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million eighteen thousand four hundred forty
Ordinal
1018440th
Binary
11111000101001001000
Octal
3705110
Hexadecimal
0xF8A48
Base64
D4pI
One's complement
4,293,948,855 (32-bit)
Scientific notation
1.01844 × 10⁶
As a duration
1,018,440 s = 11 days, 18 hours, 54 minutes
In other bases
ternary (3) 1220202001000
quaternary (4) 3320221020
quinary (5) 230042230
senary (6) 33455000
septenary (7) 11441133
nonary (9) 1822030
undecimal (11) 636195
duodecimal (12) 411460
tridecimal (13) 298737
tetradecimal (14) 1c721a
pentadecimal (15) 151b60

As an angle

1,018,440° = 2,829 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬八千四百四十
Chinese (financial)
壹佰零壹萬捌仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠١٨٤٤٠ Devanagari १०१८४४० Bengali ১০১৮৪৪০ Tamil ௧௦௧௮௪௪௦ Thai ๑๐๑๘๔๔๐ Tibetan ༡༠༡༨༤༤༠ Khmer ១០១៨៤៤០ Lao ໑໐໑໘໔໔໐ Burmese ၁၀၁၈၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018440, here are decompositions:

  • 11 + 1018429 = 1018440
  • 19 + 1018421 = 1018440
  • 29 + 1018411 = 1018440
  • 83 + 1018357 = 1018440
  • 103 + 1018337 = 1018440
  • 127 + 1018313 = 1018440
  • 131 + 1018309 = 1018440
  • 139 + 1018301 = 1018440

Showing the first eight; more decompositions exist.

Hex color
#0F8A48
RGB(15, 138, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.138.72.

Address
0.15.138.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.138.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 8440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8440-10-01 (MMDYYYY (US, single-digit day))
  • 8440-01-10 (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 1,018,440 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°.