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135,020

135,020 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.).

135,020 (one hundred thirty-five thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 43 × 157. Its proper divisors sum to 156,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F6C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
20,531
Recamán's sequence
a(36,272) = 135,020
Square (n²)
18,230,400,400
Cube (n³)
2,461,468,662,008,000
Divisor count
24
σ(n) — sum of divisors
291,984
φ(n) — Euler's totient
52,416
Sum of prime factors
209

Primality

Prime factorization: 2 2 × 5 × 43 × 157

Nearest primes: 135,019 (−1) · 135,029 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 43 · 86 · 157 · 172 · 215 · 314 · 430 · 628 · 785 · 860 · 1570 · 3140 · 6751 · 13502 · 27004 · 33755 · 67510 (half) · 135020
Aliquot sum (sum of proper divisors): 156,964
Factor pairs (a × b = 135,020)
1 × 135020
2 × 67510
4 × 33755
5 × 27004
10 × 13502
20 × 6751
43 × 3140
86 × 1570
157 × 860
172 × 785
215 × 628
314 × 430
First multiples
135,020 · 270,040 (double) · 405,060 · 540,080 · 675,100 · 810,120 · 945,140 · 1,080,160 · 1,215,180 · 1,350,200

Sums & aliquot sequence

As consecutive integers: 27,002 + 27,003 + 27,004 + 27,005 + 27,006 16,874 + 16,875 + … + 16,881 3,356 + 3,357 + … + 3,395 3,119 + 3,120 + … + 3,161
Aliquot sequence: 135,020 156,964 117,730 98,774 67,546 33,776 31,696 38,736 70,074 91,386 106,656 201,792 332,624 311,866 199,334 99,670 79,754 — unresolved within range

Continued fraction of √n

√135,020 = [367; (2, 4, 1, 1, 3, 6, 1, 182, 1, 6, 3, 1, 1, 4, 2, 734)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand twenty
Ordinal
135020th
Binary
100000111101101100
Octal
407554
Hexadecimal
0x20F6C
Base64
Ag9s
One's complement
4,294,832,275 (32-bit)
Scientific notation
1.3502 × 10⁵
As a duration
135,020 s = 1 day, 13 hours, 30 minutes, 20 seconds
In other bases
ternary (3) 20212012202
quaternary (4) 200331230
quinary (5) 13310040
senary (6) 2521032
septenary (7) 1101434
nonary (9) 225182
undecimal (11) 92496
duodecimal (12) 66178
tridecimal (13) 495c2
tetradecimal (14) 372c4
pentadecimal (15) 2a015

As an angle

135,020° = 375 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ρλεκʹ
Mayan (base 20)
𝋰·𝋱·𝋫·𝋠
Chinese
一十三萬五千零二十
Chinese (financial)
壹拾參萬伍仟零貳拾
In other modern scripts
Eastern Arabic ١٣٥٠٢٠ Devanagari १३५०२० Bengali ১৩৫০২০ Tamil ௧௩௫௦௨௦ Thai ๑๓๕๐๒๐ Tibetan ༡༣༥༠༢༠ Khmer ១៣៥០២០ Lao ໑໓໕໐໒໐ Burmese ၁၃၅၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135020, here are decompositions:

  • 3 + 135017 = 135020
  • 13 + 135007 = 135020
  • 31 + 134989 = 135020
  • 73 + 134947 = 135020
  • 97 + 134923 = 135020
  • 103 + 134917 = 135020
  • 163 + 134857 = 135020
  • 181 + 134839 = 135020

Showing the first eight; more decompositions exist.

Unicode codepoint
𠽬
CJK Unified Ideograph-20F6C
U+20F6C
Other letter (Lo)

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

Hex color
#020F6C
RGB(2, 15, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.108.

Address
0.2.15.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.108

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 135,020 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

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