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128,080

128,080 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.).

128,080 (one hundred twenty-eight thousand eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,601. Its proper divisors sum to 169,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F450.

Abundant Number Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
80,821
Square (n²)
16,404,486,400
Cube (n³)
2,101,086,618,112,000
Divisor count
20
σ(n) — sum of divisors
297,972
φ(n) — Euler's totient
51,200
Sum of prime factors
1,614

Primality

Prime factorization: 2 4 × 5 × 1601

Nearest primes: 128,053 (−27) · 128,099 (+19)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1601 · 3202 · 6404 · 8005 · 12808 · 16010 · 25616 · 32020 · 64040 (half) · 128080
Aliquot sum (sum of proper divisors): 169,892
Factor pairs (a × b = 128,080)
1 × 128080
2 × 64040
4 × 32020
5 × 25616
8 × 16010
10 × 12808
16 × 8005
20 × 6404
40 × 3202
80 × 1601
First multiples
128,080 · 256,160 (double) · 384,240 · 512,320 · 640,400 · 768,480 · 896,560 · 1,024,640 · 1,152,720 · 1,280,800

Sums & aliquot sequence

As a sum of two squares: 152² + 324² = 168² + 316²
As consecutive integers: 25,614 + 25,615 + 25,616 + 25,617 + 25,618 3,987 + 3,988 + … + 4,018 721 + 722 + … + 880
Aliquot sequence: 128,080 169,892 127,426 86,774 46,546 29,432 30,208 31,172 23,386 14,918 7,462 6,650 8,230 6,602 3,304 3,896 3,424 — unresolved within range

Continued fraction of √n

√128,080 = [357; (1, 7, 1, 1, 10, 1, 1, 1, 8, 2, 2, 10, 1, 3, 1, 1, 6, 1, 43, 1, 6, 1, 1, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand eighty
Ordinal
128080th
Binary
11111010001010000
Octal
372120
Hexadecimal
0x1F450
Base64
AfRQ
One's complement
4,294,839,215 (32-bit)
Scientific notation
1.2808 × 10⁵
As a duration
128,080 s = 1 day, 11 hours, 34 minutes, 40 seconds
In other bases
ternary (3) 20111200201
quaternary (4) 133101100
quinary (5) 13044310
senary (6) 2424544
septenary (7) 1042261
nonary (9) 214621
undecimal (11) 88257
duodecimal (12) 62154
tridecimal (13) 463b4
tetradecimal (14) 34968
pentadecimal (15) 27e3a

As an angle

128,080° = 355 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκηπʹ
Mayan (base 20)
𝋰·𝋠·𝋤·𝋠
Chinese
一十二萬八千零八十
Chinese (financial)
壹拾貳萬捌仟零捌拾
In other modern scripts
Eastern Arabic ١٢٨٠٨٠ Devanagari १२८०८० Bengali ১২৮০৮০ Tamil ௧௨௮௦௮௦ Thai ๑๒๘๐๘๐ Tibetan ༡༢༨༠༨༠ Khmer ១២៨០៨០ Lao ໑໒໘໐໘໐ Burmese ၁၂၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128080, here are decompositions:

  • 47 + 128033 = 128080
  • 59 + 128021 = 128080
  • 83 + 127997 = 128080
  • 101 + 127979 = 128080
  • 107 + 127973 = 128080
  • 149 + 127931 = 128080
  • 167 + 127913 = 128080
  • 263 + 127817 = 128080

Showing the first eight; more decompositions exist.

Unicode codepoint
👐
Open Hands Sign
U+1F450
Other symbol (So)

UTF-8 encoding: F0 9F 91 90 (4 bytes).

Hex color
#01F450
RGB(1, 244, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.80.

Address
0.1.244.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.80

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 128,080 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 128080 first appears in π at position 886,920 of the decimal expansion (the 886,920ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading