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1,056,816

1,056,816 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.).

1,056,816 (one million fifty-six thousand eight hundred sixteen) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 41 × 179. Its proper divisors sum to 1,989,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102030.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
6,186,501
Square (n²)
1,116,860,057,856
Cube (n³)
1,180,315,578,903,146,496
Divisor count
60
σ(n) — sum of divisors
3,046,680
φ(n) — Euler's totient
341,760
Sum of prime factors
234

Primality

Prime factorization: 2 4 × 3 2 × 41 × 179

Nearest primes: 1,056,793 (−23) · 1,056,823 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 41 · 48 · 72 · 82 · 123 · 144 · 164 · 179 · 246 · 328 · 358 · 369 · 492 · 537 · 656 · 716 · 738 · 984 · 1074 · 1432 · 1476 · 1611 · 1968 · 2148 · 2864 · 2952 · 3222 · 4296 · 5904 · 6444 · 7339 · 8592 · 12888 · 14678 · 22017 · 25776 · 29356 · 44034 · 58712 · 66051 · 88068 · 117424 · 132102 · 176136 · 264204 · 352272 · 528408 (half) · 1056816
Aliquot sum (sum of proper divisors): 1,989,864
Factor pairs (a × b = 1,056,816)
1 × 1056816
2 × 528408
3 × 352272
4 × 264204
6 × 176136
8 × 132102
9 × 117424
12 × 88068
16 × 66051
18 × 58712
24 × 44034
36 × 29356
41 × 25776
48 × 22017
72 × 14678
82 × 12888
123 × 8592
144 × 7339
164 × 6444
179 × 5904
246 × 4296
328 × 3222
358 × 2952
369 × 2864
492 × 2148
537 × 1968
656 × 1611
716 × 1476
738 × 1432
984 × 1074
First multiples
1,056,816 · 2,113,632 (double) · 3,170,448 · 4,227,264 · 5,284,080 · 6,340,896 · 7,397,712 · 8,454,528 · 9,511,344 · 10,568,160

Sums & aliquot sequence

As consecutive integers: 352,271 + 352,272 + 352,273 117,420 + 117,421 + … + 117,428 33,010 + 33,011 + … + 33,041 25,756 + 25,757 + … + 25,796
Aliquot sequence: 1,056,816 → 1,989,864 → 3,591,036 → 5,883,156 → 9,864,576 → 18,525,084 → 26,191,476 → 40,014,846 → 46,684,026 → 67,443,174 → 78,683,742 → 91,968,402 → 104,062,830 → 147,906,354 → 147,906,366 → 148,977,618 → 151,615,758 — unresolved within range

Continued fraction of √n

√1,056,816 = [1028; (64, 3, 1, 127, 1, 3, 64, 2056)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand eight hundred sixteen
Ordinal
1056816th
Binary
100000010000000110000
Octal
4020060
Hexadecimal
0x102030
Base64
ECAw
One's complement
4,293,910,479 (32-bit)
Scientific notation
1.056816 × 10⁶
As a duration
1,056,816 s = 12 days, 5 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1222200200100
quaternary (4) 10002000300
quinary (5) 232304231
senary (6) 34352400
septenary (7) 11661045
nonary (9) 1880610
undecimal (11) 662002
duodecimal (12) 42b700
tridecimal (13) 2b0047
tetradecimal (14) 1d71cc
pentadecimal (15) 15d1e6

As an angle

1,056,816° = 2,935 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬六千八百一十六
Chinese (financial)
壹佰零伍萬陸仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٥٦٨١٦ Devanagari १०५६८१६ Bengali ১০৫৬৮১৬ Tamil ௧௦௫௬௮௧௬ Thai ๑๐๕๖๘๑๖ Tibetan ༡༠༥༦༨༡༦ Khmer ១០៥៦៨១៦ Lao ໑໐໕໖໘໑໖ Burmese ၁၀၅၆၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056816, here are decompositions:

  • 23 + 1056793 = 1056816
  • 37 + 1056779 = 1056816
  • 43 + 1056773 = 1056816
  • 97 + 1056719 = 1056816
  • 109 + 1056707 = 1056816
  • 149 + 1056667 = 1056816
  • 157 + 1056659 = 1056816
  • 193 + 1056623 = 1056816

Showing the first eight; more decompositions exist.

Hex color
#102030
RGB(16, 32, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.48.

Address
0.16.32.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.32.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 6816 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6816-05-01 (DMMYYYY (Euro, single-digit day))
  • 6816-10-05 (MMDYYYY (US, single-digit day))
  • 6816-05-10 (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 1,056,816 and was likely granted around 1912.

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°.