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128,440

128,440 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.).

128,440 (one hundred twenty-eight thousand four hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 13² × 19. Its proper divisors sum to 200,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F5B8.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical 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
17 bits
Reversed
44,821
Recamán's sequence
a(232,760) = 128,440
Square (n²)
16,496,833,600
Cube (n³)
2,118,853,307,584,000
Divisor count
48
σ(n) — sum of divisors
329,400
φ(n) — Euler's totient
44,928
Sum of prime factors
56

Primality

Prime factorization: 2 3 × 5 × 13 2 × 19

Nearest primes: 128,437 (−3) · 128,449 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 19 · 20 · 26 · 38 · 40 · 52 · 65 · 76 · 95 · 104 · 130 · 152 · 169 · 190 · 247 · 260 · 338 · 380 · 494 · 520 · 676 · 760 · 845 · 988 · 1235 · 1352 · 1690 · 1976 · 2470 · 3211 · 3380 · 4940 · 6422 · 6760 · 9880 · 12844 · 16055 · 25688 · 32110 · 64220 (half) · 128440
Aliquot sum (sum of proper divisors): 200,960
Factor pairs (a × b = 128,440)
1 × 128440
2 × 64220
4 × 32110
5 × 25688
8 × 16055
10 × 12844
13 × 9880
19 × 6760
20 × 6422
26 × 4940
38 × 3380
40 × 3211
52 × 2470
65 × 1976
76 × 1690
95 × 1352
104 × 1235
130 × 988
152 × 845
169 × 760
190 × 676
247 × 520
260 × 494
338 × 380
First multiples
128,440 · 256,880 (double) · 385,320 · 513,760 · 642,200 · 770,640 · 899,080 · 1,027,520 · 1,155,960 · 1,284,400

Sums & aliquot sequence

As consecutive integers: 25,686 + 25,687 + 25,688 + 25,689 + 25,690 9,874 + 9,875 + … + 9,886 8,020 + 8,021 + … + 8,035 6,751 + 6,752 + … + 6,769
Aliquot sequence: 128,440 200,960 283,468 212,608 252,512 283,744 274,940 314,740 346,256 412,624 477,944 418,216 379,724 296,476 268,004 243,724 230,596 — unresolved within range

Continued fraction of √n

√128,440 = [358; (2, 1, 1, 2, 8, 1, 2, 4, 1, 3, 2, 2, 1, 78, 1, 13, 1, 1, 1, 3, 1, 1, 2, 1, …)]

Representations

In words
one hundred twenty-eight thousand four hundred forty
Ordinal
128440th
Binary
11111010110111000
Octal
372670
Hexadecimal
0x1F5B8
Base64
AfW4
One's complement
4,294,838,855 (32-bit)
Scientific notation
1.2844 × 10⁵
As a duration
128,440 s = 1 day, 11 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 20112012001
quaternary (4) 133112320
quinary (5) 13102230
senary (6) 2430344
septenary (7) 1043314
nonary (9) 215161
undecimal (11) 88554
duodecimal (12) 623b4
tridecimal (13) 46600
tetradecimal (14) 34b44
pentadecimal (15) 280ca

As an angle

128,440° = 356 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκηυμʹ
Mayan (base 20)
𝋰·𝋡·𝋢·𝋠
Chinese
一十二萬八千四百四十
Chinese (financial)
壹拾貳萬捌仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٢٨٤٤٠ Devanagari १२८४४० Bengali ১২৮৪৪০ Tamil ௧௨௮௪௪௦ Thai ๑๒๘๔๔๐ Tibetan ༡༢༨༤༤༠ Khmer ១២៨៤៤០ Lao ໑໒໘໔໔໐ Burmese ၁၂၈၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128440, here are decompositions:

  • 3 + 128437 = 128440
  • 29 + 128411 = 128440
  • 41 + 128399 = 128440
  • 47 + 128393 = 128440
  • 89 + 128351 = 128440
  • 101 + 128339 = 128440
  • 113 + 128327 = 128440
  • 149 + 128291 = 128440

Showing the first eight; more decompositions exist.

Unicode codepoint
🖸
Optical Disc Icon
U+1F5B8
Other symbol (So)

UTF-8 encoding: F0 9F 96 B8 (4 bytes).

Hex color
#01F5B8
RGB(1, 245, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.245.184.

Address
0.1.245.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.245.184

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 128,440 and was likely granted around 1872.

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

Related reading