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135,049

135,049 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.).

135,049 (one hundred thirty-five thousand forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20F89.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
940,531
Recamán's sequence
a(36,330) = 135,049
Square (n²)
18,238,232,401
Cube (n³)
2,463,055,047,522,649
Divisor count
2
σ(n) — sum of divisors
135,050
φ(n) — Euler's totient
135,048

Primality

135,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,049)
1 × 135049
First multiples
135,049 · 270,098 (double) · 405,147 · 540,196 · 675,245 · 810,294 · 945,343 · 1,080,392 · 1,215,441 · 1,350,490

Sums & aliquot sequence

As a sum of two squares: 232² + 285²
As consecutive integers: 67,524 + 67,525

Continued fraction of √n

√135,049 = [367; (2, 24, 1, 5, 2, 3, 11, 5, 8, 16, 4, 1, 2, 1, 6, 1, 5, 3, 1, 14, 1, 1, 4, 3, …)]

Representations

In words
one hundred thirty-five thousand forty-nine
Ordinal
135049th
Binary
100000111110001001
Octal
407611
Hexadecimal
0x20F89
Base64
Ag+J
One's complement
4,294,832,246 (32-bit)
Scientific notation
1.35049 × 10⁵
As a duration
135,049 s = 1 day, 13 hours, 30 minutes, 49 seconds
In other bases
ternary (3) 20212020211
quaternary (4) 200332021
quinary (5) 13310144
senary (6) 2521121
septenary (7) 1101505
nonary (9) 225224
undecimal (11) 92512
duodecimal (12) 661a1
tridecimal (13) 49615
tetradecimal (14) 37305
pentadecimal (15) 2a034

As an angle

135,049° = 375 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεμθʹ
Mayan (base 20)
𝋰·𝋱·𝋬·𝋩
Chinese
一十三萬五千零四十九
Chinese (financial)
壹拾參萬伍仟零肆拾玖
In other modern scripts
Eastern Arabic ١٣٥٠٤٩ Devanagari १३५०४९ Bengali ১৩৫০৪৯ Tamil ௧௩௫௦௪௯ Thai ๑๓๕๐๔๙ Tibetan ༡༣༥༠༤༩ Khmer ១៣៥០៤៩ Lao ໑໓໕໐໔໙ Burmese ၁၃၅၀၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 135043.

Unicode codepoint
𠾉
CJK Unified Ideograph-20F89
U+20F89
Other letter (Lo)

UTF-8 encoding: F0 A0 BE 89 (4 bytes).

Hex color
#020F89
RGB(2, 15, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.137.

Address
0.2.15.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.137

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 135,049 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 135049 first appears in π at position 678,451 of the decimal expansion (the 678,451ordinal-suffix:st 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.