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135,056

135,056 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.).

135,056 (one hundred thirty-five thousand fifty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 367. Its proper divisors sum to 138,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F90.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
650,531
Recamán's sequence
a(36,344) = 135,056
Square (n²)
18,240,123,136
Cube (n³)
2,463,438,070,255,616
Divisor count
20
σ(n) — sum of divisors
273,792
φ(n) — Euler's totient
64,416
Sum of prime factors
398

Primality

Prime factorization: 2 4 × 23 × 367

Nearest primes: 135,049 (−7) · 135,059 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 367 · 368 · 734 · 1468 · 2936 · 5872 · 8441 · 16882 · 33764 · 67528 (half) · 135056
Aliquot sum (sum of proper divisors): 138,736
Factor pairs (a × b = 135,056)
1 × 135056
2 × 67528
4 × 33764
8 × 16882
16 × 8441
23 × 5872
46 × 2936
92 × 1468
184 × 734
367 × 368
First multiples
135,056 · 270,112 (double) · 405,168 · 540,224 · 675,280 · 810,336 · 945,392 · 1,080,448 · 1,215,504 · 1,350,560

Sums & aliquot sequence

As consecutive integers: 5,861 + 5,862 + … + 5,883 4,205 + 4,206 + … + 4,236 185 + 186 + … + 551
Aliquot sequence: 135,056 138,736 173,744 162,916 147,086 75,178 37,592 35,368 30,962 16,234 8,120 13,480 16,940 27,748 27,804 46,564 46,620 — unresolved within range

Continued fraction of √n

√135,056 = [367; (2, 734)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand fifty-six
Ordinal
135056th
Binary
100000111110010000
Octal
407620
Hexadecimal
0x20F90
Base64
Ag+Q
One's complement
4,294,832,239 (32-bit)
Scientific notation
1.35056 × 10⁵
As a duration
135,056 s = 1 day, 13 hours, 30 minutes, 56 seconds
In other bases
ternary (3) 20212021002
quaternary (4) 200332100
quinary (5) 13310211
senary (6) 2521132
septenary (7) 1101515
nonary (9) 225232
undecimal (11) 92519
duodecimal (12) 661a8
tridecimal (13) 4961c
tetradecimal (14) 3730c
pentadecimal (15) 2a03b

As an angle

135,056° = 375 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλενϛʹ
Mayan (base 20)
𝋰·𝋱·𝋬·𝋰
Chinese
一十三萬五千零五十六
Chinese (financial)
壹拾參萬伍仟零伍拾陸
In other modern scripts
Eastern Arabic ١٣٥٠٥٦ Devanagari १३५०५६ Bengali ১৩৫০৫৬ Tamil ௧௩௫௦௫௬ Thai ๑๓๕๐๕๖ Tibetan ༡༣༥༠༥༦ Khmer ១៣៥០៥៦ Lao ໑໓໕໐໕໖ Burmese ၁၃၅၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135056, here are decompositions:

  • 7 + 135049 = 135056
  • 13 + 135043 = 135056
  • 37 + 135019 = 135056
  • 67 + 134989 = 135056
  • 109 + 134947 = 135056
  • 139 + 134917 = 135056
  • 199 + 134857 = 135056
  • 349 + 134707 = 135056

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾐
CJK Unified Ideograph-20F90
U+20F90
Other letter (Lo)

UTF-8 encoding: F0 A0 BE 90 (4 bytes).

Hex color
#020F90
RGB(2, 15, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.144.

Address
0.2.15.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.144

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 135,056 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 135056 first appears in π at position 558,249 of the decimal expansion (the 558,249ordinal-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.