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128,020

128,020 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.).

128,020 (one hundred twenty-eight thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 37 × 173. Its proper divisors sum to 149,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F414.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
20,821
Square (n²)
16,389,120,400
Cube (n³)
2,098,135,193,608,000
Divisor count
24
σ(n) — sum of divisors
277,704
φ(n) — Euler's totient
49,536
Sum of prime factors
219

Primality

Prime factorization: 2 2 × 5 × 37 × 173

Nearest primes: 127,997 (−23) · 128,021 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 37 · 74 · 148 · 173 · 185 · 346 · 370 · 692 · 740 · 865 · 1730 · 3460 · 6401 · 12802 · 25604 · 32005 · 64010 (half) · 128020
Aliquot sum (sum of proper divisors): 149,684
Factor pairs (a × b = 128,020)
1 × 128020
2 × 64010
4 × 32005
5 × 25604
10 × 12802
20 × 6401
37 × 3460
74 × 1730
148 × 865
173 × 740
185 × 692
346 × 370
First multiples
128,020 · 256,040 (double) · 384,060 · 512,080 · 640,100 · 768,120 · 896,140 · 1,024,160 · 1,152,180 · 1,280,200

Sums & aliquot sequence

As a sum of two squares: 52² + 354² = 156² + 322² = 164² + 318² = 252² + 254²
As consecutive integers: 25,602 + 25,603 + 25,604 + 25,605 + 25,606 15,999 + 16,000 + … + 16,006 3,442 + 3,443 + … + 3,478 3,181 + 3,182 + … + 3,220
Aliquot sequence: 128,020 149,684 123,820 144,308 114,412 85,816 84,824 81,496 74,744 65,416 78,224 73,366 36,686 26,818 19,838 17,122 12,254 — unresolved within range

Continued fraction of √n

√128,020 = [357; (1, 3, 1, 33, 3, 1, 1, 1, 1, 1, 3, 1, 2, 1, 7, 1, 3, 1, 1, 1, 1, 2, 19, 2, …)]

Representations

In words
one hundred twenty-eight thousand twenty
Ordinal
128020th
Binary
11111010000010100
Octal
372024
Hexadecimal
0x1F414
Base64
AfQU
One's complement
4,294,839,275 (32-bit)
Scientific notation
1.2802 × 10⁵
As a duration
128,020 s = 1 day, 11 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 20111121111
quaternary (4) 133100110
quinary (5) 13044040
senary (6) 2424404
septenary (7) 1042144
nonary (9) 214544
undecimal (11) 88202
duodecimal (12) 62104
tridecimal (13) 46369
tetradecimal (14) 34924
pentadecimal (15) 27dea

As an angle

128,020° = 355 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ρκηκʹ
Mayan (base 20)
𝋰·𝋠·𝋡·𝋠
Chinese
一十二萬八千零二十
Chinese (financial)
壹拾貳萬捌仟零貳拾
In other modern scripts
Eastern Arabic ١٢٨٠٢٠ Devanagari १२८०२० Bengali ১২৮০২০ Tamil ௧௨௮௦௨௦ Thai ๑๒๘๐๒๐ Tibetan ༡༢༨༠༢༠ Khmer ១២៨០២០ Lao ໑໒໘໐໒໐ Burmese ၁၂၈၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128020, here are decompositions:

  • 23 + 127997 = 128020
  • 41 + 127979 = 128020
  • 47 + 127973 = 128020
  • 89 + 127931 = 128020
  • 107 + 127913 = 128020
  • 239 + 127781 = 128020
  • 257 + 127763 = 128020
  • 281 + 127739 = 128020

Showing the first eight; more decompositions exist.

Unicode codepoint
🐔
Chicken
U+1F414
Other symbol (So)

UTF-8 encoding: F0 9F 90 94 (4 bytes).

Hex color
#01F414
RGB(1, 244, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.20.

Address
0.1.244.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.20

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 128,020 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 128020 first appears in π at position 701,788 of the decimal expansion (the 701,788ordinal-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