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1,027,640

1,027,640 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.).

1,027,640 (one million twenty-seven thousand six hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 23 × 1,117. Its proper divisors sum to 1,387,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAE38.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
467,201
Square (n²)
1,056,043,969,600
Cube (n³)
1,085,233,024,919,744,000
Divisor count
32
σ(n) — sum of divisors
2,414,880
φ(n) — Euler's totient
392,832
Sum of prime factors
1,151

Primality

Prime factorization: 2 3 × 5 × 23 × 1117

Nearest primes: 1,027,613 (−27) · 1,027,643 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 40 · 46 · 92 · 115 · 184 · 230 · 460 · 920 · 1117 · 2234 · 4468 · 5585 · 8936 · 11170 · 22340 · 25691 · 44680 · 51382 · 102764 · 128455 · 205528 · 256910 · 513820 (half) · 1027640
Aliquot sum (sum of proper divisors): 1,387,240
Factor pairs (a × b = 1,027,640)
1 × 1027640
2 × 513820
4 × 256910
5 × 205528
8 × 128455
10 × 102764
20 × 51382
23 × 44680
40 × 25691
46 × 22340
92 × 11170
115 × 8936
184 × 5585
230 × 4468
460 × 2234
920 × 1117
First multiples
1,027,640 · 2,055,280 (double) · 3,082,920 · 4,110,560 · 5,138,200 · 6,165,840 · 7,193,480 · 8,221,120 · 9,248,760 · 10,276,400

Sums & aliquot sequence

As consecutive integers: 205,526 + 205,527 + 205,528 + 205,529 + 205,530 64,220 + 64,221 + … + 64,235 44,669 + 44,670 + … + 44,691 12,806 + 12,807 + … + 12,885
Aliquot sequence: 1,027,640 1,387,240 1,780,760 2,226,040 3,281,960 4,774,840 7,504,040 9,964,960 13,986,632 14,841,118 8,388,530 6,710,842 3,392,090 3,275,830 2,620,682 1,374,970 1,113,350 — unresolved within range

Continued fraction of √n

√1,027,640 = [1013; (1, 2, 1, 1, 1, 4, 1, 48, 1, 1, 1, 2, 5, 1, 49, 1, 5, 2, 1, 1, 1, 48, 1, 4, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one million twenty-seven thousand six hundred forty
Ordinal
1027640th
Binary
11111010111000111000
Octal
3727070
Hexadecimal
0xFAE38
Base64
D644
One's complement
4,293,939,655 (32-bit)
Scientific notation
1.02764 × 10⁶
As a duration
1,027,640 s = 11 days, 21 hours, 27 minutes, 20 seconds
In other bases
ternary (3) 1221012122202
quaternary (4) 3322320320
quinary (5) 230341030
senary (6) 34005332
septenary (7) 11510015
nonary (9) 1835582
undecimal (11) 642099
duodecimal (12) 416848
tridecimal (13) 29c993
tetradecimal (14) 1ca70c
pentadecimal (15) 154745

As an angle

1,027,640° = 2,854 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬七千六百四十
Chinese (financial)
壹佰零貳萬柒仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٢٧٦٤٠ Devanagari १०२७६४० Bengali ১০২৭৬৪০ Tamil ௧௦௨௭௬௪௦ Thai ๑๐๒๗๖๔๐ Tibetan ༡༠༢༧༦༤༠ Khmer ១០២៧៦៤០ Lao ໑໐໒໗໖໔໐ Burmese ၁၀၂၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027640, here are decompositions:

  • 43 + 1027597 = 1027640
  • 73 + 1027567 = 1027640
  • 151 + 1027489 = 1027640
  • 157 + 1027483 = 1027640
  • 181 + 1027459 = 1027640
  • 223 + 1027417 = 1027640
  • 283 + 1027357 = 1027640
  • 379 + 1027261 = 1027640

Showing the first eight; more decompositions exist.

Hex color
#0FAE38
RGB(15, 174, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.174.56.

Address
0.15.174.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.174.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 7640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7640-02-01 (DMMYYYY (Euro, single-digit day))
  • 7640-10-02 (MMDYYYY (US, single-digit day))
  • 7640-02-10 (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 1,027,640 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°.