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1,057,090

1,057,090 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.).

1,057,090 (one million fifty-seven thousand ninety) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 37 × 2,857. Written other ways, in hexadecimal, 0x102142.

Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
907,501
Square (n²)
1,117,439,268,100
Cube (n³)
1,181,233,875,915,829,000
Divisor count
16
σ(n) — sum of divisors
1,954,872
φ(n) — Euler's totient
411,264
Sum of prime factors
2,901

Primality

Prime factorization: 2 × 5 × 37 × 2857

Nearest primes: 1,057,087 (−3) · 1,057,093 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 37 · 74 · 185 · 370 · 2857 · 5714 · 14285 · 28570 · 105709 · 211418 · 528545 (half) · 1057090
Aliquot sum (sum of proper divisors): 897,782
Factor pairs (a × b = 1,057,090)
1 × 1057090
2 × 528545
5 × 211418
10 × 105709
37 × 28570
74 × 14285
185 × 5714
370 × 2857
First multiples
1,057,090 · 2,114,180 (double) · 3,171,270 · 4,228,360 · 5,285,450 · 6,342,540 · 7,399,630 · 8,456,720 · 9,513,810 · 10,570,900

Sums & aliquot sequence

As a sum of two squares: 151² + 1,017² = 187² + 1,011² = 457² + 921² = 723² + 731²
As consecutive integers: 264,271 + 264,272 + 264,273 + 264,274 211,416 + 211,417 + 211,418 + 211,419 + 211,420 52,845 + 52,846 + … + 52,864 28,552 + 28,553 + … + 28,588
Aliquot sequence: 1,057,090 → 897,782 → 558,058 → 279,032 → 284,608 → 280,288 → 301,832 → 284,068 → 223,964 → 211,156 → 192,044 → 152,524 → 130,220 → 160,084 → 129,324 → 196,036 → 147,034 — unresolved within range

Continued fraction of √n

√1,057,090 = [1028; (6, 1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one million fifty-seven thousand ninety
Ordinal
1057090th
Binary
100000010000101000010
Octal
4020502
Hexadecimal
0x102142
Base64
ECFC
One's complement
4,293,910,205 (32-bit)
Scientific notation
1.05709 × 10⁶
As a duration
1,057,090 s = 12 days, 5 hours, 38 minutes, 10 seconds
In other bases
ternary (3) 1222201001111
quaternary (4) 10002011002
quinary (5) 232311330
senary (6) 34353534
septenary (7) 11661616
nonary (9) 1881044
undecimal (11) 662231
duodecimal (12) 42b8aa
tridecimal (13) 2b01c8
tetradecimal (14) 1d7346
pentadecimal (15) 15d32a

As an angle

1,057,090° = 2,936 × 360° + 130°
130° ≈ 2.269 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬七千零九十
Chinese (financial)
壹佰零伍萬柒仟零玖拾
In other modern scripts
Eastern Arabic ١٠٥٧٠٩٠ Devanagari १०५७०९० Bengali ১০৫৭০৯০ Tamil ௧௦௫௭௦௯௦ Thai ๑๐๕๗๐๙๐ Tibetan ༡༠༥༧༠༩༠ Khmer ១០៥៧០៩០ Lao ໑໐໕໗໐໙໐ Burmese ၁၀၅၇၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057090, here are decompositions:

  • 3 + 1057087 = 1057090
  • 53 + 1057037 = 1057090
  • 71 + 1057019 = 1057090
  • 131 + 1056959 = 1057090
  • 173 + 1056917 = 1057090
  • 179 + 1056911 = 1057090
  • 197 + 1056893 = 1057090
  • 227 + 1056863 = 1057090

Showing the first eight; more decompositions exist.

Hex color
#102142
RGB(16, 33, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.33.66.

Address
0.16.33.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.33.66

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 7090 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7090-05-01 (DMMYYYY (Euro, single-digit day))
  • 7090-10-05 (MMDYYYY (US, single-digit day))
  • 7090-05-10 (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 1,057,090 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°.