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1,018,080

1,018,080 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.).

1,018,080 (one million eighteen thousand eighty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 7 × 101. Its proper divisors sum to 2,991,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF88E0.

Abundant Number Arithmetic Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable 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
808,101
Flips to (rotate 180°)
808,101
Square (n²)
1,036,486,886,400
Cube (n³)
1,055,226,569,306,112,000
Divisor count
144
σ(n) — sum of divisors
4,009,824
φ(n) — Euler's totient
230,400
Sum of prime factors
129

Primality

Prime factorization: 2 5 × 3 2 × 5 × 7 × 101

Nearest primes: 1,018,057 (−23) · 1,018,091 (+11)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 96 · 101 · 105 · 112 · 120 · 126 · 140 · 144 · 160 · 168 · 180 · 202 · 210 · 224 · 240 · 252 · 280 · 288 · 303 · 315 · 336 · 360 · 404 · 420 · 480 · 504 · 505 · 560 · 606 · 630 · 672 · 707 · 720 · 808 · 840 · 909 · 1008 · 1010 · 1120 · 1212 · 1260 · 1414 · 1440 · 1515 · 1616 · 1680 · 1818 · 2016 · 2020 · 2121 · 2424 · 2520 · 2828 · 3030 · 3232 · 3360 · 3535 · 3636 · 4040 · 4242 · 4545 · 4848 · 5040 · 5656 · 6060 · 6363 · 7070 · 7272 · 8080 · 8484 · 9090 · 9696 · 10080 · 10605 · 11312 · 12120 · 12726 · 14140 · 14544 · 16160 · 16968 · 18180 · 21210 · 22624 · 24240 · 25452 · 28280 · 29088 · 31815 · 33936 · 36360 · 42420 · 48480 · 50904 · 56560 · 63630 · 67872 · 72720 · 84840 · 101808 · 113120 · 127260 · 145440 · 169680 · 203616 · 254520 · 339360 · 509040 (half) · 1018080
Aliquot sum (sum of proper divisors): 2,991,744
Factor pairs (a × b = 1,018,080)
1 × 1018080
2 × 509040
3 × 339360
4 × 254520
5 × 203616
6 × 169680
7 × 145440
8 × 127260
9 × 113120
10 × 101808
12 × 84840
14 × 72720
15 × 67872
16 × 63630
18 × 56560
20 × 50904
21 × 48480
24 × 42420
28 × 36360
30 × 33936
32 × 31815
35 × 29088
36 × 28280
40 × 25452
42 × 24240
45 × 22624
48 × 21210
56 × 18180
60 × 16968
63 × 16160
70 × 14544
72 × 14140
80 × 12726
84 × 12120
90 × 11312
96 × 10605
101 × 10080
105 × 9696
112 × 9090
120 × 8484
126 × 8080
140 × 7272
144 × 7070
160 × 6363
168 × 6060
180 × 5656
202 × 5040
210 × 4848
224 × 4545
240 × 4242
252 × 4040
280 × 3636
288 × 3535
303 × 3360
315 × 3232
336 × 3030
360 × 2828
404 × 2520
420 × 2424
480 × 2121
504 × 2020
505 × 2016
560 × 1818
606 × 1680
630 × 1616
672 × 1515
707 × 1440
720 × 1414
808 × 1260
840 × 1212
909 × 1120
1008 × 1010
First multiples
1,018,080 · 2,036,160 (double) · 3,054,240 · 4,072,320 · 5,090,400 · 6,108,480 · 7,126,560 · 8,144,640 · 9,162,720 · 10,180,800

Sums & aliquot sequence

As consecutive integers: 339,359 + 339,360 + 339,361 203,614 + 203,615 + 203,616 + 203,617 + 203,618 145,437 + 145,438 + … + 145,443 113,116 + 113,117 + … + 113,124
Aliquot sequence: 1,018,080 2,991,744 7,211,826 8,413,836 11,317,428 18,718,732 14,039,056 13,826,348 10,960,204 8,220,160 14,244,920 17,806,240 24,688,520 31,125,880 40,803,560 66,591,640 83,556,440 — unresolved within range

Continued fraction of √n

√1,018,080 = [1008; (1, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million eighteen thousand eighty
Ordinal
1018080th
Binary
11111000100011100000
Octal
3704340
Hexadecimal
0xF88E0
Base64
D4jg
One's complement
4,293,949,215 (32-bit)
Scientific notation
1.01808 × 10⁶
As a duration
1,018,080 s = 11 days, 18 hours, 48 minutes
In other bases
ternary (3) 1220201112200
quaternary (4) 3320203200
quinary (5) 230034310
senary (6) 33453200
septenary (7) 11440110
nonary (9) 1821480
undecimal (11) 635998
duodecimal (12) 411200
tridecimal (13) 29851b
tetradecimal (14) 1c7040
pentadecimal (15) 1519c0

As an angle

1,018,080° = 2,828 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零一萬八千零八十
Chinese (financial)
壹佰零壹萬捌仟零捌拾
In other modern scripts
Eastern Arabic ١٠١٨٠٨٠ Devanagari १०१८०८० Bengali ১০১৮০৮০ Tamil ௧௦௧௮௦௮௦ Thai ๑๐๑๘๐๘๐ Tibetan ༡༠༡༨༠༨༠ Khmer ១០១៨០៨០ Lao ໑໐໑໘໐໘໐ Burmese ၁၀၁၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018080, here are decompositions:

  • 23 + 1018057 = 1018080
  • 59 + 1018021 = 1018080
  • 61 + 1018019 = 1018080
  • 73 + 1018007 = 1018080
  • 83 + 1017997 = 1018080
  • 127 + 1017953 = 1018080
  • 157 + 1017923 = 1018080
  • 191 + 1017889 = 1018080

Showing the first eight; more decompositions exist.

Hex color
#0F88E0
RGB(15, 136, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.224.

Address
0.15.136.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.136.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 8080 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8080-10-01 (MMDYYYY (US, single-digit day))
  • 8080-01-10 (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 1,018,080 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°.