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180,640

180,640 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.).

180,640 (one hundred eighty thousand six hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 1,129. Its proper divisors sum to 246,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C1A0.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
46,081
Recamán's sequence
a(66,820) = 180,640
Square (n²)
32,630,809,600
Cube (n³)
5,894,429,446,144,000
Divisor count
24
σ(n) — sum of divisors
427,140
φ(n) — Euler's totient
72,192
Sum of prime factors
1,144

Primality

Prime factorization: 2 5 × 5 × 1129

Nearest primes: 180,629 (−11) · 180,647 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 1129 · 2258 · 4516 · 5645 · 9032 · 11290 · 18064 · 22580 · 36128 · 45160 · 90320 (half) · 180640
Aliquot sum (sum of proper divisors): 246,500
Factor pairs (a × b = 180,640)
1 × 180640
2 × 90320
4 × 45160
5 × 36128
8 × 22580
10 × 18064
16 × 11290
20 × 9032
32 × 5645
40 × 4516
80 × 2258
160 × 1129
First multiples
180,640 · 361,280 (double) · 541,920 · 722,560 · 903,200 · 1,083,840 · 1,264,480 · 1,445,120 · 1,625,760 · 1,806,400

Sums & aliquot sequence

As a sum of two squares: 132² + 404² = 244² + 348²
As consecutive integers: 36,126 + 36,127 + 36,128 + 36,129 + 36,130 2,791 + 2,792 + … + 2,854 405 + 406 + … + 724
Aliquot sequence: 180,640 246,500 343,180 377,540 435,580 511,940 758,140 833,996 625,504 718,664 628,846 314,426 240,070 192,074 98,554 49,280 97,600 — unresolved within range

Continued fraction of √n

√180,640 = [425; (56, 1, 2, 94, 8, 1, 5, 2, 2, 4, 1, 9, 1, 2, 8, 1, 1, 23, 11, 1, 13, 3, 1, 211, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty thousand six hundred forty
Ordinal
180640th
Binary
101100000110100000
Octal
540640
Hexadecimal
0x2C1A0
Base64
AsGg
One's complement
4,294,786,655 (32-bit)
Scientific notation
1.8064 × 10⁵
As a duration
180,640 s = 2 days, 2 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 100011210101
quaternary (4) 230012200
quinary (5) 21240030
senary (6) 3512144
septenary (7) 1351435
nonary (9) 304711
undecimal (11) 113799
duodecimal (12) 88654
tridecimal (13) 642b5
tetradecimal (14) 49b8c
pentadecimal (15) 387ca

As an angle

180,640° = 501 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρπχμʹ
Chinese
一十八萬零六百四十
Chinese (financial)
壹拾捌萬零陸佰肆拾
In other modern scripts
Eastern Arabic ١٨٠٦٤٠ Devanagari १८०६४० Bengali ১৮০৬৪০ Tamil ௧௮௦௬௪௦ Thai ๑๘๐๖๔๐ Tibetan ༡༨༠༦༤༠ Khmer ១៨០៦៤០ Lao ໑໘໐໖໔໐ Burmese ၁၈၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180640, here are decompositions:

  • 11 + 180629 = 180640
  • 17 + 180623 = 180640
  • 23 + 180617 = 180640
  • 71 + 180569 = 180640
  • 101 + 180539 = 180640
  • 107 + 180533 = 180640
  • 137 + 180503 = 180640
  • 149 + 180491 = 180640

Showing the first eight; more decompositions exist.

Unicode codepoint
𬆠
CJK Unified Ideograph-2C1A0
U+2C1A0
Other letter (Lo)

UTF-8 encoding: F0 AC 86 A0 (4 bytes).

Hex color
#02C1A0
RGB(2, 193, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.193.160.

Address
0.2.193.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.193.160

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

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 180,640 and was likely granted around 1875.

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°.