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128,720

128,720 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.).

128,720 (one hundred twenty-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,609. Its proper divisors sum to 170,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F6D0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
27,821
Recamán's sequence
a(232,200) = 128,720
Square (n²)
16,568,838,400
Cube (n³)
2,132,740,878,848,000
Divisor count
20
σ(n) — sum of divisors
299,460
φ(n) — Euler's totient
51,456
Sum of prime factors
1,622

Primality

Prime factorization: 2 4 × 5 × 1609

Nearest primes: 128,717 (−3) · 128,747 (+27)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1609 · 3218 · 6436 · 8045 · 12872 · 16090 · 25744 · 32180 · 64360 (half) · 128720
Aliquot sum (sum of proper divisors): 170,740
Factor pairs (a × b = 128,720)
1 × 128720
2 × 64360
4 × 32180
5 × 25744
8 × 16090
10 × 12872
16 × 8045
20 × 6436
40 × 3218
80 × 1609
First multiples
128,720 · 257,440 (double) · 386,160 · 514,880 · 643,600 · 772,320 · 901,040 · 1,029,760 · 1,158,480 · 1,287,200

Sums & aliquot sequence

As a sum of two squares: 136² + 332² = 184² + 308²
As consecutive integers: 25,742 + 25,743 + 25,744 + 25,745 + 25,746 4,007 + 4,008 + … + 4,038 725 + 726 + … + 884
Aliquot sequence: 128,720 170,740 187,856 184,144 194,180 303,100 450,324 851,340 1,874,292 3,230,220 7,107,828 14,267,148 26,826,996 44,982,924 74,971,764 158,937,996 264,896,884 — unresolved within range

Continued fraction of √n

√128,720 = [358; (1, 3, 2, 5, 2, 17, 23, 11, 5, 1, 15, 2, 8, 2, 15, 1, 5, 11, 23, 17, 2, 5, 2, 3, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand seven hundred twenty
Ordinal
128720th
Binary
11111011011010000
Octal
373320
Hexadecimal
0x1F6D0
Base64
AfbQ
One's complement
4,294,838,575 (32-bit)
Scientific notation
1.2872 × 10⁵
As a duration
128,720 s = 1 day, 11 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 20112120102
quaternary (4) 133123100
quinary (5) 13104340
senary (6) 2431532
septenary (7) 1044164
nonary (9) 215512
undecimal (11) 88789
duodecimal (12) 625a8
tridecimal (13) 46787
tetradecimal (14) 34ca4
pentadecimal (15) 28215
Palindromic in base 9

As an angle

128,720° = 357 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκηψκʹ
Mayan (base 20)
𝋰·𝋡·𝋰·𝋠
Chinese
一十二萬八千七百二十
Chinese (financial)
壹拾貳萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٢٨٧٢٠ Devanagari १२८७२० Bengali ১২৮৭২০ Tamil ௧௨௮௭௨௦ Thai ๑๒๘๗๒๐ Tibetan ༡༢༨༧༢༠ Khmer ១២៨៧២០ Lao ໑໒໘໗໒໐ Burmese ၁၂၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128720, here are decompositions:

  • 3 + 128717 = 128720
  • 37 + 128683 = 128720
  • 43 + 128677 = 128720
  • 61 + 128659 = 128720
  • 157 + 128563 = 128720
  • 199 + 128521 = 128720
  • 211 + 128509 = 128720
  • 271 + 128449 = 128720

Showing the first eight; more decompositions exist.

Unicode codepoint
🛐
Place Of Worship
U+1F6D0
Other symbol (So)

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

Hex color
#01F6D0
RGB(1, 246, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.246.208.

Address
0.1.246.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.246.208

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 128,720 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 128720 first appears in π at position 971,776 of the decimal expansion (the 971,776ordinal-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.