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128,432

128,432 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.).

128,432 (one hundred twenty-eight thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 349. Its proper divisors sum to 131,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F5B0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
384
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
234,821
Recamán's sequence
a(232,776) = 128,432
Square (n²)
16,494,778,624
Cube (n³)
2,118,457,408,237,568
Divisor count
20
σ(n) — sum of divisors
260,400
φ(n) — Euler's totient
61,248
Sum of prime factors
380

Primality

Prime factorization: 2 4 × 23 × 349

Nearest primes: 128,431 (−1) · 128,437 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 349 · 368 · 698 · 1396 · 2792 · 5584 · 8027 · 16054 · 32108 · 64216 (half) · 128432
Aliquot sum (sum of proper divisors): 131,968
Factor pairs (a × b = 128,432)
1 × 128432
2 × 64216
4 × 32108
8 × 16054
16 × 8027
23 × 5584
46 × 2792
92 × 1396
184 × 698
349 × 368
First multiples
128,432 · 256,864 (double) · 385,296 · 513,728 · 642,160 · 770,592 · 899,024 · 1,027,456 · 1,155,888 · 1,284,320

Sums & aliquot sequence

As consecutive integers: 5,573 + 5,574 + … + 5,595 3,998 + 3,999 + … + 4,029 194 + 195 + … + 542
Aliquot sequence: 128,432 131,968 131,192 134,248 121,532 100,564 81,324 132,120 298,440 672,660 1,443,636 2,299,404 3,128,676 4,171,596 8,095,260 14,571,636 20,412,012 — unresolved within range

Continued fraction of √n

√128,432 = [358; (2, 1, 2, 17, 9, 2, 1, 2, 9, 17, 2, 1, 2, 716)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand four hundred thirty-two
Ordinal
128432nd
Binary
11111010110110000
Octal
372660
Hexadecimal
0x1F5B0
Base64
AfWw
One's complement
4,294,838,863 (32-bit)
Scientific notation
1.28432 × 10⁵
As a duration
128,432 s = 1 day, 11 hours, 40 minutes, 32 seconds
In other bases
ternary (3) 20112011202
quaternary (4) 133112300
quinary (5) 13102212
senary (6) 2430332
septenary (7) 1043303
nonary (9) 215152
undecimal (11) 88547
duodecimal (12) 623a8
tridecimal (13) 465c5
tetradecimal (14) 34b3a
pentadecimal (15) 280c2

As an angle

128,432° = 356 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκηυλβʹ
Mayan (base 20)
𝋰·𝋡·𝋡·𝋬
Chinese
一十二萬八千四百三十二
Chinese (financial)
壹拾貳萬捌仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٢٨٤٣٢ Devanagari १२८४३२ Bengali ১২৮৪৩২ Tamil ௧௨௮௪௩௨ Thai ๑๒๘๔๓๒ Tibetan ༡༢༨༤༣༢ Khmer ១២៨៤៣២ Lao ໑໒໘໔໓໒ Burmese ၁၂၈၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128432, here are decompositions:

  • 19 + 128413 = 128432
  • 43 + 128389 = 128432
  • 193 + 128239 = 128432
  • 211 + 128221 = 128432
  • 229 + 128203 = 128432
  • 313 + 128119 = 128432
  • 379 + 128053 = 128432
  • 613 + 127819 = 128432

Showing the first eight; more decompositions exist.

Unicode codepoint
🖰
Two Button Mouse
U+1F5B0
Other symbol (So)

UTF-8 encoding: F0 9F 96 B0 (4 bytes).

Hex color
#01F5B0
RGB(1, 245, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.245.176.

Address
0.1.245.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.245.176

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 128,432 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 128432 first appears in π at position 77,156 of the decimal expansion (the 77,156ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.