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135,382

135,382 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.).

135,382 (one hundred thirty-five thousand three hundred eighty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 41 × 127. Written other ways, in hexadecimal, 0x210D6.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
720
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
283,531
Square (n²)
18,328,285,924
Cube (n³)
2,481,320,004,962,968
Divisor count
16
σ(n) — sum of divisors
225,792
φ(n) — Euler's totient
60,480
Sum of prime factors
183

Primality

Prime factorization: 2 × 13 × 41 × 127

Nearest primes: 135,367 (−15) · 135,389 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 41 · 82 · 127 · 254 · 533 · 1066 · 1651 · 3302 · 5207 · 10414 · 67691 (half) · 135382
Aliquot sum (sum of proper divisors): 90,410
Factor pairs (a × b = 135,382)
1 × 135382
2 × 67691
13 × 10414
26 × 5207
41 × 3302
82 × 1651
127 × 1066
254 × 533
First multiples
135,382 · 270,764 (double) · 406,146 · 541,528 · 676,910 · 812,292 · 947,674 · 1,083,056 · 1,218,438 · 1,353,820

Sums & aliquot sequence

As consecutive integers: 33,844 + 33,845 + 33,846 + 33,847 10,408 + 10,409 + … + 10,420 3,282 + 3,283 + … + 3,322 2,578 + 2,579 + … + 2,629
Aliquot sequence: 135,382 90,410 72,346 38,138 19,072 19,178 10,390 8,330 10,138 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 — unresolved within range

Continued fraction of √n

√135,382 = [367; (1, 16, 1, 1, 10, 1, 1, 1, 2, 1, 8, 1, 4, 1, 8, 1, 2, 1, 1, 1, 10, 1, 1, 16, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand three hundred eighty-two
Ordinal
135382nd
Binary
100001000011010110
Octal
410326
Hexadecimal
0x210D6
Base64
AhDW
One's complement
4,294,831,913 (32-bit)
Scientific notation
1.35382 × 10⁵
As a duration
135,382 s = 1 day, 13 hours, 36 minutes, 22 seconds
In other bases
ternary (3) 20212201011
quaternary (4) 201003112
quinary (5) 13313012
senary (6) 2522434
septenary (7) 1102462
nonary (9) 225634
undecimal (11) 92795
duodecimal (12) 6641a
tridecimal (13) 49810
tetradecimal (14) 374a2
pentadecimal (15) 2a1a7

As an angle

135,382° = 376 × 360° + 22°
22° ≈ 0.384 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλετπβʹ
Mayan (base 20)
𝋰·𝋲·𝋩·𝋢
Chinese
一十三萬五千三百八十二
Chinese (financial)
壹拾參萬伍仟參佰捌拾貳
In other modern scripts
Eastern Arabic ١٣٥٣٨٢ Devanagari १३५३८२ Bengali ১৩৫৩৮২ Tamil ௧௩௫௩௮௨ Thai ๑๓๕๓๘๒ Tibetan ༡༣༥༣༨༢ Khmer ១៣៥៣៨២ Lao ໑໓໕໓໘໒ Burmese ၁၃၅၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135382, here are decompositions:

  • 29 + 135353 = 135382
  • 53 + 135329 = 135382
  • 101 + 135281 = 135382
  • 173 + 135209 = 135382
  • 251 + 135131 = 135382
  • 263 + 135119 = 135382
  • 281 + 135101 = 135382
  • 293 + 135089 = 135382

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃖
CJK Unified Ideograph-210D6
U+210D6
Other letter (Lo)

UTF-8 encoding: F0 A1 83 96 (4 bytes).

Hex color
#0210D6
RGB(2, 16, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.214.

Address
0.2.16.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.214

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 135,382 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 135382 first appears in π at position 547,054 of the decimal expansion (the 547,054ordinal-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