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135,389

135,389 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.).

135,389 (one hundred thirty-five thousand three 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, 0x210DD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,240
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
983,531
Square (n²)
18,330,181,321
Cube (n³)
2,481,704,918,868,869
Divisor count
2
σ(n) — sum of divisors
135,390
φ(n) — Euler's totient
135,388

Primality

135,389 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135389
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,389)
1 × 135389
First multiples
135,389 · 270,778 (double) · 406,167 · 541,556 · 676,945 · 812,334 · 947,723 · 1,083,112 · 1,218,501 · 1,353,890

Sums & aliquot sequence

As a sum of two squares: 85² + 358²
As consecutive integers: 67,694 + 67,695

Continued fraction of √n

√135,389 = [367; (1, 20, 36, 1, 2, 1, 25, 1, 1, 6, 1, 5, 1, 1, 1, 4, 1, 1, 1, 1, 5, 3, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred eighty-nine
Ordinal
135389th
Binary
100001000011011101
Octal
410335
Hexadecimal
0x210DD
Base64
AhDd
One's complement
4,294,831,906 (32-bit)
Scientific notation
1.35389 × 10⁵
As a duration
135,389 s = 1 day, 13 hours, 36 minutes, 29 seconds
In other bases
ternary (3) 20212201102
quaternary (4) 201003131
quinary (5) 13313024
senary (6) 2522445
septenary (7) 1102502
nonary (9) 225642
undecimal (11) 927a1
duodecimal (12) 66425
tridecimal (13) 49817
tetradecimal (14) 374a9
pentadecimal (15) 2a1ae

As an angle

135,389° = 376 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετπθʹ
Mayan (base 20)
𝋰·𝋲·𝋩·𝋩
Chinese
一十三萬五千三百八十九
Chinese (financial)
壹拾參萬伍仟參佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٥٣٨٩ Devanagari १३५३८९ Bengali ১৩৫৩৮৯ Tamil ௧௩௫௩௮௯ Thai ๑๓๕๓๘๙ Tibetan ༡༣༥༣༨༩ Khmer ១៣៥៣៨៩ Lao ໑໓໕໓໘໙ Burmese ၁၃၅၃၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135391.

Unicode codepoint
𡃝
CJK Unified Ideograph-210Dd
U+210DD
Other letter (Lo)

UTF-8 encoding: F0 A1 83 9D (4 bytes).

Hex color
#0210DD
RGB(2, 16, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.221.

Address
0.2.16.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.221

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 135,389 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.