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1,054,820

1,054,820 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.).

1,054,820 (one million fifty-four thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 4,057. Its proper divisors sum to 1,331,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101864.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
284,501
Square (n²)
1,112,645,232,400
Cube (n³)
1,173,640,444,040,168,000
Divisor count
24
σ(n) — sum of divisors
2,386,104
φ(n) — Euler's totient
389,376
Sum of prime factors
4,079

Primality

Prime factorization: 2 2 × 5 × 13 × 4057

Nearest primes: 1,054,819 (−1) · 1,054,831 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 4057 · 8114 · 16228 · 20285 · 40570 · 52741 · 81140 · 105482 · 210964 · 263705 · 527410 (half) · 1054820
Aliquot sum (sum of proper divisors): 1,331,284
Factor pairs (a × b = 1,054,820)
1 × 1054820
2 × 527410
4 × 263705
5 × 210964
10 × 105482
13 × 81140
20 × 52741
26 × 40570
52 × 20285
65 × 16228
130 × 8114
260 × 4057
First multiples
1,054,820 · 2,109,640 (double) · 3,164,460 · 4,219,280 · 5,274,100 · 6,328,920 · 7,383,740 · 8,438,560 · 9,493,380 · 10,548,200

Sums & aliquot sequence

As a sum of two squares: 136² + 1,018² = 266² + 992² = 502² + 896² = 634² + 808²
As consecutive integers: 210,962 + 210,963 + 210,964 + 210,965 + 210,966 131,849 + 131,850 + … + 131,856 81,134 + 81,135 + … + 81,146 26,351 + 26,352 + … + 26,390
Aliquot sequence: 1,054,820 1,331,284 1,009,824 1,697,664 2,812,776 4,263,384 6,446,616 11,135,784 19,235,256 28,852,944 54,266,736 94,632,464 98,368,576 102,799,424 161,766,976 214,088,000 392,000,704 — unresolved within range

Continued fraction of √n

√1,054,820 = [1027; (22, 1, 1, 2, 1, 41, 4, 1, 7, 4, 2, 19, 1, 8, 4, 1, 1, 3, 4, 1, 1, 1, 10, 9, …)]

Representations

In words
one million fifty-four thousand eight hundred twenty
Ordinal
1054820th
Binary
100000001100001100100
Octal
4014144
Hexadecimal
0x101864
Base64
EBhk
One's complement
4,293,912,475 (32-bit)
Scientific notation
1.05482 × 10⁶
As a duration
1,054,820 s = 12 days, 5 hours, 20 seconds
In other bases
ternary (3) 1222120221102
quaternary (4) 10001201210
quinary (5) 232223240
senary (6) 34335232
septenary (7) 11652164
nonary (9) 1876842
undecimal (11) 660558
duodecimal (12) 42a518
tridecimal (13) 2ac170
tetradecimal (14) 1d65a4
pentadecimal (15) 15c815

As an angle

1,054,820° = 2,930 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬四千八百二十
Chinese (financial)
壹佰零伍萬肆仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٤٨٢٠ Devanagari १०५४८२० Bengali ১০৫৪৮২০ Tamil ௧௦௫௪௮௨௦ Thai ๑๐๕๔๘๒๐ Tibetan ༡༠༥༤༨༢༠ Khmer ១០៥៤៨២០ Lao ໑໐໕໔໘໒໐ Burmese ၁၀၅၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054820, here are decompositions:

  • 7 + 1054813 = 1054820
  • 97 + 1054723 = 1054820
  • 103 + 1054717 = 1054820
  • 181 + 1054639 = 1054820
  • 199 + 1054621 = 1054820
  • 211 + 1054609 = 1054820
  • 223 + 1054597 = 1054820
  • 271 + 1054549 = 1054820

Showing the first eight; more decompositions exist.

Hex color
#101864
RGB(16, 24, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.24.100.

Address
0.16.24.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.24.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 4820 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4820-05-01 (DMMYYYY (Euro, single-digit day))
  • 4820-10-05 (MMDYYYY (US, single-digit day))
  • 4820-05-10 (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 1,054,820 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°.