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1,011,816

1,011,816 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.).

1,011,816 (one million eleven thousand eight hundred sixteen) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 13 × 23 × 47. Its proper divisors sum to 2,133,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7068.

Abundant Number Arithmetic Number Evil Number Flippable Harshad / Niven 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
6,181,101
Flips to (rotate 180°)
9,181,101
Square (n²)
1,023,771,617,856
Cube (n³)
1,035,868,503,292,586,496
Divisor count
96
σ(n) — sum of divisors
3,144,960
φ(n) — Euler's totient
291,456
Sum of prime factors
95

Primality

Prime factorization: 2 3 × 3 2 × 13 × 23 × 47

Nearest primes: 1,011,799 (−17) · 1,011,817 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 23 · 24 · 26 · 36 · 39 · 46 · 47 · 52 · 69 · 72 · 78 · 92 · 94 · 104 · 117 · 138 · 141 · 156 · 184 · 188 · 207 · 234 · 276 · 282 · 299 · 312 · 376 · 414 · 423 · 468 · 552 · 564 · 598 · 611 · 828 · 846 · 897 · 936 · 1081 · 1128 · 1196 · 1222 · 1656 · 1692 · 1794 · 1833 · 2162 · 2392 · 2444 · 2691 · 3243 · 3384 · 3588 · 3666 · 4324 · 4888 · 5382 · 5499 · 6486 · 7176 · 7332 · 8648 · 9729 · 10764 · 10998 · 12972 · 14053 · 14664 · 19458 · 21528 · 21996 · 25944 · 28106 · 38916 · 42159 · 43992 · 56212 · 77832 · 84318 · 112424 · 126477 · 168636 · 252954 · 337272 · 505908 (half) · 1011816
Aliquot sum (sum of proper divisors): 2,133,144
Factor pairs (a × b = 1,011,816)
1 × 1011816
2 × 505908
3 × 337272
4 × 252954
6 × 168636
8 × 126477
9 × 112424
12 × 84318
13 × 77832
18 × 56212
23 × 43992
24 × 42159
26 × 38916
36 × 28106
39 × 25944
46 × 21996
47 × 21528
52 × 19458
69 × 14664
72 × 14053
78 × 12972
92 × 10998
94 × 10764
104 × 9729
117 × 8648
138 × 7332
141 × 7176
156 × 6486
184 × 5499
188 × 5382
207 × 4888
234 × 4324
276 × 3666
282 × 3588
299 × 3384
312 × 3243
376 × 2691
414 × 2444
423 × 2392
468 × 2162
552 × 1833
564 × 1794
598 × 1692
611 × 1656
828 × 1222
846 × 1196
897 × 1128
936 × 1081
First multiples
1,011,816 · 2,023,632 (double) · 3,035,448 · 4,047,264 · 5,059,080 · 6,070,896 · 7,082,712 · 8,094,528 · 9,106,344 · 10,118,160

Sums & aliquot sequence

As consecutive integers: 337,271 + 337,272 + 337,273 112,420 + 112,421 + … + 112,428 77,826 + 77,827 + … + 77,838 63,231 + 63,232 + … + 63,246
Aliquot sequence: 1,011,816 2,133,144 4,353,336 8,346,624 19,165,056 33,528,144 59,750,608 56,016,226 43,879,454 21,939,730 17,551,802 8,812,954 4,406,480 7,259,440 9,801,968 11,670,616 10,254,824 — unresolved within range

Continued fraction of √n

√1,011,816 = [1005; (1, 8, 6, 1, 8, 1, 6, 8, 1, 2010)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one million eleven thousand eight hundred sixteen
Ordinal
1011816th
Binary
11110111000001101000
Octal
3670150
Hexadecimal
0xF7068
Base64
D3Bo
One's complement
4,293,955,479 (32-bit)
Scientific notation
1.011816 × 10⁶
As a duration
1,011,816 s = 11 days, 17 hours, 3 minutes, 36 seconds
In other bases
ternary (3) 1220101221200
quaternary (4) 3313001220
quinary (5) 224334231
senary (6) 33404200
septenary (7) 11412621
nonary (9) 1811850
undecimal (11) 631213
duodecimal (12) 409660
tridecimal (13) 295710
tetradecimal (14) 1c4a48
pentadecimal (15) 14ebe6

As an angle

1,011,816° = 2,810 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬一千八百一十六
Chinese (financial)
壹佰零壹萬壹仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٠١١٨١٦ Devanagari १०११८१६ Bengali ১০১১৮১৬ Tamil ௧௦௧௧௮௧௬ Thai ๑๐๑๑๘๑๖ Tibetan ༡༠༡༡༨༡༦ Khmer ១០១១៨១៦ Lao ໑໐໑໑໘໑໖ Burmese ၁၀၁၁၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011816, here are decompositions:

  • 17 + 1011799 = 1011816
  • 19 + 1011797 = 1011816
  • 37 + 1011779 = 1011816
  • 53 + 1011763 = 1011816
  • 67 + 1011749 = 1011816
  • 79 + 1011737 = 1011816
  • 83 + 1011733 = 1011816
  • 97 + 1011719 = 1011816

Showing the first eight; more decompositions exist.

Hex color
#0F7068
RGB(15, 112, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.112.104.

Address
0.15.112.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.112.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 1816 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 1816-10-01 (MMDYYYY (US, single-digit day))
  • 1816-01-10 (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 1,011,816 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°.