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135,006

135,006 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.).

135,006 (one hundred thirty-five thousand six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,501. Its proper divisors sum to 135,018, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F5E.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Smith Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
600,531
Square (n²)
18,226,620,036
Cube (n³)
2,460,703,064,580,216
Divisor count
8
σ(n) — sum of divisors
270,024
φ(n) — Euler's totient
45,000
Sum of prime factors
22,506

Primality

Prime factorization: 2 × 3 × 22501

Nearest primes: 134,999 (−7) · 135,007 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22501 · 45002 · 67503 (half) · 135006
Aliquot sum (sum of proper divisors): 135,018
Factor pairs (a × b = 135,006)
1 × 135006
2 × 67503
3 × 45002
6 × 22501
First multiples
135,006 · 270,012 (double) · 405,018 · 540,024 · 675,030 · 810,036 · 945,042 · 1,080,048 · 1,215,054 · 1,350,060

Sums & aliquot sequence

As consecutive integers: 45,001 + 45,002 + 45,003 33,750 + 33,751 + 33,752 + 33,753 11,245 + 11,246 + … + 11,256
Aliquot sequence: 135,006 135,018 180,570 287,142 287,154 454,158 573,570 917,946 1,155,654 1,412,586 2,308,374 2,722,626 3,390,654 3,390,666 3,390,678 4,025,250 6,865,110 — unresolved within range

Continued fraction of √n

√135,006 = [367; (2, 3, 6, 2, 1, 1, 7, 7, 13, 1, 2, 1, 1, 1, 3, 4, 1, 2, 1, 1, 1, 1, 1, 9, …)]

Representations

In words
one hundred thirty-five thousand six
Ordinal
135006th
Binary
100000111101011110
Octal
407536
Hexadecimal
0x20F5E
Base64
Ag9e
One's complement
4,294,832,289 (32-bit)
Scientific notation
1.35006 × 10⁵
As a duration
135,006 s = 1 day, 13 hours, 30 minutes, 6 seconds
In other bases
ternary (3) 20212012020
quaternary (4) 200331132
quinary (5) 13310011
senary (6) 2521010
septenary (7) 1101414
nonary (9) 225166
undecimal (11) 92483
duodecimal (12) 66166
tridecimal (13) 495b1
tetradecimal (14) 372b4
pentadecimal (15) 2a006
Palindromic in base 12

As an angle

135,006° = 375 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϛʹ
Mayan (base 20)
𝋰·𝋱·𝋪·𝋦
Chinese
一十三萬五千零六
Chinese (financial)
壹拾參萬伍仟零陸
In other modern scripts
Eastern Arabic ١٣٥٠٠٦ Devanagari १३५००६ Bengali ১৩৫০০৬ Tamil ௧௩௫௦௦௬ Thai ๑๓๕๐๐๖ Tibetan ༡༣༥༠༠༦ Khmer ១៣៥០០៦ Lao ໑໓໕໐໐໖ Burmese ၁၃၅၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135006, here are decompositions:

  • 7 + 134999 = 135006
  • 17 + 134989 = 135006
  • 59 + 134947 = 135006
  • 83 + 134923 = 135006
  • 89 + 134917 = 135006
  • 97 + 134909 = 135006
  • 139 + 134867 = 135006
  • 149 + 134857 = 135006

Showing the first eight; more decompositions exist.

Unicode codepoint
𠽞
CJK Unified Ideograph-20F5E
U+20F5E
Other letter (Lo)

UTF-8 encoding: F0 A0 BD 9E (4 bytes).

Hex color
#020F5E
RGB(2, 15, 94)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.94.

Address
0.2.15.94
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.94

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 135,006 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 135006 first appears in π at position 47,753 of the decimal expansion (the 47,753ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.