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1,011,840

1,011,840 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.).

1,011,840 (one million eleven thousand eight hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 5 × 17 × 31. Its proper divisors sum to 2,513,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7080.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
481,101
Square (n²)
1,023,820,185,600
Cube (n³)
1,035,942,216,597,504,000
Divisor count
128
σ(n) — sum of divisors
3,525,120
φ(n) — Euler's totient
245,760
Sum of prime factors
70

Primality

Prime factorization: 2 7 × 3 × 5 × 17 × 31

Nearest primes: 1,011,827 (−13) · 1,011,889 (+49)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 30 · 31 · 32 · 34 · 40 · 48 · 51 · 60 · 62 · 64 · 68 · 80 · 85 · 93 · 96 · 102 · 120 · 124 · 128 · 136 · 155 · 160 · 170 · 186 · 192 · 204 · 240 · 248 · 255 · 272 · 310 · 320 · 340 · 372 · 384 · 408 · 465 · 480 · 496 · 510 · 527 · 544 · 620 · 640 · 680 · 744 · 816 · 930 · 960 · 992 · 1020 · 1054 · 1088 · 1240 · 1360 · 1488 · 1581 · 1632 · 1860 · 1920 · 1984 · 2040 · 2108 · 2176 · 2480 · 2635 · 2720 · 2976 · 3162 · 3264 · 3720 · 3968 · 4080 · 4216 · 4960 · 5270 · 5440 · 5952 · 6324 · 6528 · 7440 · 7905 · 8160 · 8432 · 9920 · 10540 · 10880 · 11904 · 12648 · 14880 · 15810 · 16320 · 16864 · 19840 · 21080 · 25296 · 29760 · 31620 · 32640 · 33728 · 42160 · 50592 · 59520 · 63240 · 67456 · 84320 · 101184 · 126480 · 168640 · 202368 · 252960 · 337280 · 505920 (half) · 1011840
Aliquot sum (sum of proper divisors): 2,513,280
Factor pairs (a × b = 1,011,840)
1 × 1011840
2 × 505920
3 × 337280
4 × 252960
5 × 202368
6 × 168640
8 × 126480
10 × 101184
12 × 84320
15 × 67456
16 × 63240
17 × 59520
20 × 50592
24 × 42160
30 × 33728
31 × 32640
32 × 31620
34 × 29760
40 × 25296
48 × 21080
51 × 19840
60 × 16864
62 × 16320
64 × 15810
68 × 14880
80 × 12648
85 × 11904
93 × 10880
96 × 10540
102 × 9920
120 × 8432
124 × 8160
128 × 7905
136 × 7440
155 × 6528
160 × 6324
170 × 5952
186 × 5440
192 × 5270
204 × 4960
240 × 4216
248 × 4080
255 × 3968
272 × 3720
310 × 3264
320 × 3162
340 × 2976
372 × 2720
384 × 2635
408 × 2480
465 × 2176
480 × 2108
496 × 2040
510 × 1984
527 × 1920
544 × 1860
620 × 1632
640 × 1581
680 × 1488
744 × 1360
816 × 1240
930 × 1088
960 × 1054
992 × 1020
First multiples
1,011,840 · 2,023,680 (double) · 3,035,520 · 4,047,360 · 5,059,200 · 6,071,040 · 7,082,880 · 8,094,720 · 9,106,560 · 10,118,400

Sums & aliquot sequence

As consecutive integers: 337,279 + 337,280 + 337,281 202,366 + 202,367 + 202,368 + 202,369 + 202,370 67,449 + 67,450 + … + 67,463 59,512 + 59,513 + … + 59,528
Aliquot sequence: 1,011,840 2,513,280 8,062,080 22,782,720 54,480,480 117,134,544 201,391,696 224,277,488 210,512,392 205,268,168 241,165,432 211,019,768 184,642,312 161,562,038 109,492,042 69,676,790 55,741,450 — unresolved within range

Continued fraction of √n

√1,011,840 = [1005; (1, 9, 3, 1, 3, 2, 7, 1, 16, 40, 1, 501, 1, 40, 16, 1, 7, 2, 3, 1, 3, 9, 1, 2010)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million eleven thousand eight hundred forty
Ordinal
1011840th
Binary
11110111000010000000
Octal
3670200
Hexadecimal
0xF7080
Base64
D3CA
One's complement
4,293,955,455 (32-bit)
Scientific notation
1.01184 × 10⁶
As a duration
1,011,840 s = 11 days, 17 hours, 4 minutes
In other bases
ternary (3) 1220101222120
quaternary (4) 3313002000
quinary (5) 224334330
senary (6) 33404240
septenary (7) 11412654
nonary (9) 1811876
undecimal (11) 631235
duodecimal (12) 409680
tridecimal (13) 29572b
tetradecimal (14) 1c4a64
pentadecimal (15) 14ec10

As an angle

1,011,840° = 2,810 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬一千八百四十
Chinese (financial)
壹佰零壹萬壹仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٠١١٨٤٠ Devanagari १०११८४० Bengali ১০১১৮৪০ Tamil ௧௦௧௧௮௪௦ Thai ๑๐๑๑๘๔๐ Tibetan ༡༠༡༡༨༤༠ Khmer ១០១១៨៤០ Lao ໑໐໑໑໘໔໐ Burmese ၁၀၁၁၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011840, here are decompositions:

  • 13 + 1011827 = 1011840
  • 23 + 1011817 = 1011840
  • 41 + 1011799 = 1011840
  • 43 + 1011797 = 1011840
  • 61 + 1011779 = 1011840
  • 103 + 1011737 = 1011840
  • 107 + 1011733 = 1011840
  • 163 + 1011677 = 1011840

Showing the first eight; more decompositions exist.

Hex color
#0F7080
RGB(15, 112, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.112.128.

Address
0.15.112.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.112.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 1840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1840-10-01 (MMDYYYY (US, single-digit day))
  • 1840-01-10 (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 1,011,840 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°.