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135,089

135,089 is a prime, odd.

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.).

135,089 (one hundred thirty-five thousand eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20FB1.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
980,531
Recamán's sequence
a(36,410) = 135,089
Square (n²)
18,249,037,921
Cube (n³)
2,465,244,283,709,969
Divisor count
2
σ(n) — sum of divisors
135,090
φ(n) — Euler's totient
135,088

Primality

135,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,089)
1 × 135089
First multiples
135,089 · 270,178 (double) · 405,267 · 540,356 · 675,445 · 810,534 · 945,623 · 1,080,712 · 1,215,801 · 1,350,890

Sums & aliquot sequence

As a sum of two squares: 20² + 367²
As consecutive integers: 67,544 + 67,545

Continued fraction of √n

√135,089 = [367; (1, 1, 5, 9, 146, 1, 9, 1, 45, 29, 2, 1, 1, 1, 1, 1, 2, 8, 1, 4, 5, 1, 2, 11, …)]

Representations

In words
one hundred thirty-five thousand eighty-nine
Ordinal
135089th
Binary
100000111110110001
Octal
407661
Hexadecimal
0x20FB1
Base64
Ag+x
One's complement
4,294,832,206 (32-bit)
Scientific notation
1.35089 × 10⁵
As a duration
135,089 s = 1 day, 13 hours, 31 minutes, 29 seconds
In other bases
ternary (3) 20212022022
quaternary (4) 200332301
quinary (5) 13310324
senary (6) 2521225
septenary (7) 1101563
nonary (9) 225268
undecimal (11) 92549
duodecimal (12) 66215
tridecimal (13) 49646
tetradecimal (14) 37333
pentadecimal (15) 2a05e

As an angle

135,089° = 375 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεπθʹ
Mayan (base 20)
𝋰·𝋱·𝋮·𝋩
Chinese
一十三萬五千零八十九
Chinese (financial)
壹拾參萬伍仟零捌拾玖
In other modern scripts
Eastern Arabic ١٣٥٠٨٩ Devanagari १३५०८९ Bengali ১৩৫০৮৯ Tamil ௧௩௫௦௮௯ Thai ๑๓๕๐๘๙ Tibetan ༡༣༥༠༨༩ Khmer ១៣៥០៨៩ Lao ໑໓໕໐໘໙ Burmese ၁၃၅၀၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠾱
CJK Unified Ideograph-20Fb1
U+20FB1
Other letter (Lo)

UTF-8 encoding: F0 A0 BE B1 (4 bytes).

Hex color
#020FB1
RGB(2, 15, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.177.

Address
0.2.15.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.177

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 135,089 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 135089 first appears in π at position 688,490 of the decimal expansion (the 688,490ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.