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128,136

128,136 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.).

128,136 (one hundred twenty-eight thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 281. Its proper divisors sum to 210,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F488.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
631,821
Recamán's sequence
a(32,556) = 128,136
Square (n²)
16,418,834,496
Cube (n³)
2,103,843,776,979,456
Divisor count
32
σ(n) — sum of divisors
338,400
φ(n) — Euler's totient
40,320
Sum of prime factors
309

Primality

Prime factorization: 2 3 × 3 × 19 × 281

Nearest primes: 128,119 (−17) · 128,147 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 38 · 57 · 76 · 114 · 152 · 228 · 281 · 456 · 562 · 843 · 1124 · 1686 · 2248 · 3372 · 5339 · 6744 · 10678 · 16017 · 21356 · 32034 · 42712 · 64068 (half) · 128136
Aliquot sum (sum of proper divisors): 210,264
Factor pairs (a × b = 128,136)
1 × 128136
2 × 64068
3 × 42712
4 × 32034
6 × 21356
8 × 16017
12 × 10678
19 × 6744
24 × 5339
38 × 3372
57 × 2248
76 × 1686
114 × 1124
152 × 843
228 × 562
281 × 456
First multiples
128,136 · 256,272 (double) · 384,408 · 512,544 · 640,680 · 768,816 · 896,952 · 1,025,088 · 1,153,224 · 1,281,360

Sums & aliquot sequence

As consecutive integers: 42,711 + 42,712 + 42,713 8,001 + 8,002 + … + 8,016 6,735 + 6,736 + … + 6,753 2,646 + 2,647 + … + 2,693
Aliquot sequence: 128,136 210,264 315,456 562,368 992,112 1,805,328 4,196,272 3,988,968 5,983,512 9,492,888 14,239,392 24,770,208 40,251,840 93,177,408 167,865,504 272,781,696 517,677,504 — unresolved within range

Continued fraction of √n

√128,136 = [357; (1, 24, 1, 1, 3, 14, 3, 14, 3, 1, 1, 24, 1, 714)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand one hundred thirty-six
Ordinal
128136th
Binary
11111010010001000
Octal
372210
Hexadecimal
0x1F488
Base64
AfSI
One's complement
4,294,839,159 (32-bit)
Scientific notation
1.28136 × 10⁵
As a duration
128,136 s = 1 day, 11 hours, 35 minutes, 36 seconds
In other bases
ternary (3) 20111202210
quaternary (4) 133102020
quinary (5) 13100021
senary (6) 2425120
septenary (7) 1042401
nonary (9) 214683
undecimal (11) 882a8
duodecimal (12) 621a0
tridecimal (13) 46428
tetradecimal (14) 349a8
pentadecimal (15) 27e76
Palindromic in base 7

As an angle

128,136° = 355 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκηρλϛʹ
Mayan (base 20)
𝋰·𝋠·𝋦·𝋰
Chinese
一十二萬八千一百三十六
Chinese (financial)
壹拾貳萬捌仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٢٨١٣٦ Devanagari १२८१३६ Bengali ১২৮১৩৬ Tamil ௧௨௮௧௩௬ Thai ๑๒๘๑๓๖ Tibetan ༡༢༨༡༣༦ Khmer ១២៨១៣៦ Lao ໑໒໘໑໓໖ Burmese ၁၂၈၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128136, here are decompositions:

  • 17 + 128119 = 128136
  • 23 + 128113 = 128136
  • 37 + 128099 = 128136
  • 83 + 128053 = 128136
  • 89 + 128047 = 128136
  • 103 + 128033 = 128136
  • 139 + 127997 = 128136
  • 157 + 127979 = 128136

Showing the first eight; more decompositions exist.

Unicode codepoint
💈
Barber Pole
U+1F488
Other symbol (So)

UTF-8 encoding: F0 9F 92 88 (4 bytes).

Hex color
#01F488
RGB(1, 244, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.136.

Address
0.1.244.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.136

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 128,136 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.