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135,096

135,096 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.).

135,096 (one hundred thirty-five thousand ninety-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 433. Its proper divisors sum to 229,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FB8.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
690,531
Recamán's sequence
a(36,424) = 135,096
Square (n²)
18,250,929,216
Cube (n³)
2,465,627,533,364,736
Divisor count
32
σ(n) — sum of divisors
364,560
φ(n) — Euler's totient
41,472
Sum of prime factors
455

Primality

Prime factorization: 2 3 × 3 × 13 × 433

Nearest primes: 135,089 (−7) · 135,101 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 312 · 433 · 866 · 1299 · 1732 · 2598 · 3464 · 5196 · 5629 · 10392 · 11258 · 16887 · 22516 · 33774 · 45032 · 67548 (half) · 135096
Aliquot sum (sum of proper divisors): 229,464
Factor pairs (a × b = 135,096)
1 × 135096
2 × 67548
3 × 45032
4 × 33774
6 × 22516
8 × 16887
12 × 11258
13 × 10392
24 × 5629
26 × 5196
39 × 3464
52 × 2598
78 × 1732
104 × 1299
156 × 866
312 × 433
First multiples
135,096 · 270,192 (double) · 405,288 · 540,384 · 675,480 · 810,576 · 945,672 · 1,080,768 · 1,215,864 · 1,350,960

Sums & aliquot sequence

As consecutive integers: 45,031 + 45,032 + 45,033 10,386 + 10,387 + … + 10,398 8,436 + 8,437 + … + 8,451 3,445 + 3,446 + … + 3,483
Aliquot sequence: 135,096 229,464 392,196 756,924 1,261,764 2,479,036 2,843,204 3,422,524 3,645,124 3,645,180 10,192,644 21,938,364 47,583,396 94,907,484 186,302,116 307,589,660 485,303,140 — unresolved within range

Continued fraction of √n

√135,096 = [367; (1, 1, 4, 8, 7, 1, 1, 1, 1, 1, 1, 5, 2, 5, 1, 1, 1, 1, 1, 1, 7, 8, 4, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand ninety-six
Ordinal
135096th
Binary
100000111110111000
Octal
407670
Hexadecimal
0x20FB8
Base64
Ag+4
One's complement
4,294,832,199 (32-bit)
Scientific notation
1.35096 × 10⁵
As a duration
135,096 s = 1 day, 13 hours, 31 minutes, 36 seconds
In other bases
ternary (3) 20212022120
quaternary (4) 200332320
quinary (5) 13310341
senary (6) 2521240
septenary (7) 1101603
nonary (9) 225276
undecimal (11) 92555
duodecimal (12) 66220
tridecimal (13) 49650
tetradecimal (14) 3733a
pentadecimal (15) 2a066

As an angle

135,096° = 375 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϟϛʹ
Mayan (base 20)
𝋰·𝋱·𝋮·𝋰
Chinese
一十三萬五千零九十六
Chinese (financial)
壹拾參萬伍仟零玖拾陸
In other modern scripts
Eastern Arabic ١٣٥٠٩٦ Devanagari १३५०९६ Bengali ১৩৫০৯৬ Tamil ௧௩௫௦௯௬ Thai ๑๓๕๐๙๖ Tibetan ༡༣༥༠༩༦ Khmer ១៣៥០៩៦ Lao ໑໓໕໐໙໖ Burmese ၁၃၅၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135096, here are decompositions:

  • 7 + 135089 = 135096
  • 19 + 135077 = 135096
  • 37 + 135059 = 135096
  • 47 + 135049 = 135096
  • 53 + 135043 = 135096
  • 67 + 135029 = 135096
  • 79 + 135017 = 135096
  • 89 + 135007 = 135096

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾸
CJK Unified Ideograph-20Fb8
U+20FB8
Other letter (Lo)

UTF-8 encoding: F0 A0 BE B8 (4 bytes).

Hex color
#020FB8
RGB(2, 15, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.184.

Address
0.2.15.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.184

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 135,096 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 135096 first appears in π at position 915,848 of the decimal expansion (the 915,848ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.