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128,024

128,024 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.).

128,024 (one hundred twenty-eight thousand twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,231. Its proper divisors sum to 130,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F418.

Abundant Number Arithmetic Number Evil Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
420,821
Square (n²)
16,390,144,576
Cube (n³)
2,098,331,869,197,824
Divisor count
16
σ(n) — sum of divisors
258,720
φ(n) — Euler's totient
59,040
Sum of prime factors
1,250

Primality

Prime factorization: 2 3 × 13 × 1231

Nearest primes: 128,021 (−3) · 128,033 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1231 · 2462 · 4924 · 9848 · 16003 · 32006 · 64012 (half) · 128024
Aliquot sum (sum of proper divisors): 130,696
Factor pairs (a × b = 128,024)
1 × 128024
2 × 64012
4 × 32006
8 × 16003
13 × 9848
26 × 4924
52 × 2462
104 × 1231
First multiples
128,024 · 256,048 (double) · 384,072 · 512,096 · 640,120 · 768,144 · 896,168 · 1,024,192 · 1,152,216 · 1,280,240

Sums & aliquot sequence

As consecutive integers: 9,842 + 9,843 + … + 9,854 7,994 + 7,995 + … + 8,009 512 + 513 + … + 719
Aliquot sequence: 128,024 130,696 137,414 70,714 50,534 32,194 16,100 25,564 30,884 30,940 53,732 60,508 60,564 105,420 233,268 389,004 745,332 — unresolved within range

Continued fraction of √n

√128,024 = [357; (1, 4, 8, 1, 6, 17, 1, 2, 1, 12, 31, 28, 1, 1, 2, 4, 1, 2, 2, 14, 5, 1, 1, 3, …)]

Representations

In words
one hundred twenty-eight thousand twenty-four
Ordinal
128024th
Binary
11111010000011000
Octal
372030
Hexadecimal
0x1F418
Base64
AfQY
One's complement
4,294,839,271 (32-bit)
Scientific notation
1.28024 × 10⁵
As a duration
128,024 s = 1 day, 11 hours, 33 minutes, 44 seconds
In other bases
ternary (3) 20111121122
quaternary (4) 133100120
quinary (5) 13044044
senary (6) 2424412
septenary (7) 1042151
nonary (9) 214548
undecimal (11) 88206
duodecimal (12) 62108
tridecimal (13) 46370
tetradecimal (14) 34928
pentadecimal (15) 27dee

As an angle

128,024° = 355 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκηκδʹ
Mayan (base 20)
𝋰·𝋠·𝋡·𝋤
Chinese
一十二萬八千零二十四
Chinese (financial)
壹拾貳萬捌仟零貳拾肆
In other modern scripts
Eastern Arabic ١٢٨٠٢٤ Devanagari १२८०२४ Bengali ১২৮০২৪ Tamil ௧௨௮௦௨௪ Thai ๑๒๘๐๒๔ Tibetan ༡༢༨༠༢༤ Khmer ១២៨០២៤ Lao ໑໒໘໐໒໔ Burmese ၁၂၈၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128024, here are decompositions:

  • 3 + 128021 = 128024
  • 73 + 127951 = 128024
  • 103 + 127921 = 128024
  • 151 + 127873 = 128024
  • 157 + 127867 = 128024
  • 181 + 127843 = 128024
  • 277 + 127747 = 128024
  • 307 + 127717 = 128024

Showing the first eight; more decompositions exist.

Unicode codepoint
🐘
Elephant
U+1F418
Other symbol (So)

UTF-8 encoding: F0 9F 90 98 (4 bytes).

Hex color
#01F418
RGB(1, 244, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.24.

Address
0.1.244.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.24

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 128,024 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

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