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128,420

128,420 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.).

128,420 (one hundred twenty-eight thousand four hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,421. Its proper divisors sum to 141,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F5A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
24,821
Recamán's sequence
a(232,800) = 128,420
Square (n²)
16,491,696,400
Cube (n³)
2,117,863,651,688,000
Divisor count
12
σ(n) — sum of divisors
269,724
φ(n) — Euler's totient
51,360
Sum of prime factors
6,430

Primality

Prime factorization: 2 2 × 5 × 6421

Nearest primes: 128,413 (−7) · 128,431 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6421 · 12842 · 25684 · 32105 · 64210 (half) · 128420
Aliquot sum (sum of proper divisors): 141,304
Factor pairs (a × b = 128,420)
1 × 128420
2 × 64210
4 × 32105
5 × 25684
10 × 12842
20 × 6421
First multiples
128,420 · 256,840 (double) · 385,260 · 513,680 · 642,100 · 770,520 · 898,940 · 1,027,360 · 1,155,780 · 1,284,200

Sums & aliquot sequence

As a sum of two squares: 16² + 358² = 202² + 296²
As consecutive integers: 25,682 + 25,683 + 25,684 + 25,685 + 25,686 16,049 + 16,050 + … + 16,056 3,191 + 3,192 + … + 3,230
Aliquot sequence: 128,420 141,304 139,496 171,544 158,576 203,008 240,540 471,780 959,832 1,639,908 2,505,506 1,333,540 1,827,548 1,439,044 1,079,290 916,622 667,090 — unresolved within range

Continued fraction of √n

√128,420 = [358; (2, 1, 3, 1, 22, 2, 1, 142, 1, 2, 22, 1, 3, 1, 2, 716)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand four hundred twenty
Ordinal
128420th
Binary
11111010110100100
Octal
372644
Hexadecimal
0x1F5A4
Base64
AfWk
One's complement
4,294,838,875 (32-bit)
Scientific notation
1.2842 × 10⁵
As a duration
128,420 s = 1 day, 11 hours, 40 minutes, 20 seconds
In other bases
ternary (3) 20112011022
quaternary (4) 133112210
quinary (5) 13102140
senary (6) 2430312
septenary (7) 1043255
nonary (9) 215138
undecimal (11) 88536
duodecimal (12) 62398
tridecimal (13) 465b6
tetradecimal (14) 34b2c
pentadecimal (15) 280b5

As an angle

128,420° = 356 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκηυκʹ
Mayan (base 20)
𝋰·𝋡·𝋡·𝋠
Chinese
一十二萬八千四百二十
Chinese (financial)
壹拾貳萬捌仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٢٨٤٢٠ Devanagari १२८४२० Bengali ১২৮৪২০ Tamil ௧௨௮௪௨௦ Thai ๑๒๘๔๒๐ Tibetan ༡༢༨༤༢༠ Khmer ១២៨៤២០ Lao ໑໒໘໔໒໐ Burmese ၁၂၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128420, here are decompositions:

  • 7 + 128413 = 128420
  • 31 + 128389 = 128420
  • 43 + 128377 = 128420
  • 73 + 128347 = 128420
  • 79 + 128341 = 128420
  • 109 + 128311 = 128420
  • 163 + 128257 = 128420
  • 181 + 128239 = 128420

Showing the first eight; more decompositions exist.

Unicode codepoint
🖤
Black Heart
U+1F5A4
Other symbol (So)

UTF-8 encoding: F0 9F 96 A4 (4 bytes).

Hex color
#01F5A4
RGB(1, 245, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.245.164.

Address
0.1.245.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.245.164

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 128,420 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 128420 first appears in π at position 492,561 of the decimal expansion (the 492,561ordinal-suffix:st 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.