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135,589

135,589 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.).

135,589 (one hundred thirty-five thousand five hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x211A5.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
5,400
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
985,531
Square (n²)
18,384,376,921
Cube (n³)
2,492,719,282,341,469
Divisor count
2
σ(n) — sum of divisors
135,590
φ(n) — Euler's totient
135,588

Primality

135,589 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135589
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,589)
1 × 135589
First multiples
135,589 · 271,178 (double) · 406,767 · 542,356 · 677,945 · 813,534 · 949,123 · 1,084,712 · 1,220,301 · 1,355,890

Sums & aliquot sequence

As a sum of two squares: 30² + 367²
As consecutive integers: 67,794 + 67,795

Continued fraction of √n

√135,589 = [368; (4, 2, 6, 13, 1, 2, 1, 5, 1, 1, 4, 1, 1, 1, 1, 3, 2, 2, 2, 48, 1, 2, 7, 9, …)]

Representations

In words
one hundred thirty-five thousand five hundred eighty-nine
Ordinal
135589th
Binary
100001000110100101
Octal
410645
Hexadecimal
0x211A5
Base64
AhGl
One's complement
4,294,831,706 (32-bit)
Scientific notation
1.35589 × 10⁵
As a duration
135,589 s = 1 day, 13 hours, 39 minutes, 49 seconds
In other bases
ternary (3) 20212222211
quaternary (4) 201012211
quinary (5) 13314324
senary (6) 2523421
septenary (7) 1103206
nonary (9) 225884
undecimal (11) 92963
duodecimal (12) 66571
tridecimal (13) 4993c
tetradecimal (14) 375ad
pentadecimal (15) 2a294

As an angle

135,589° = 376 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεφπθʹ
Mayan (base 20)
𝋰·𝋲·𝋳·𝋩
Chinese
一十三萬五千五百八十九
Chinese (financial)
壹拾參萬伍仟伍佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٥٥٨٩ Devanagari १३५५८९ Bengali ১৩৫৫৮৯ Tamil ௧௩௫௫௮௯ Thai ๑๓๕๕๘๙ Tibetan ༡༣༥༥༨༩ Khmer ១៣៥៥៨៩ Lao ໑໓໕໕໘໙ Burmese ၁၃၅၅၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 135593.

Unicode codepoint
𡆥
CJK Unified Ideograph-211A5
U+211A5
Other letter (Lo)

UTF-8 encoding: F0 A1 86 A5 (4 bytes).

Hex color
#0211A5
RGB(2, 17, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.165.

Address
0.2.17.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.165

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 135,589 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.