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135,340

135,340 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.).

135,340 (one hundred thirty-five thousand three hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 67 × 101. Its proper divisors sum to 155,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210AC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
43,531
Square (n²)
18,316,915,600
Cube (n³)
2,479,011,357,304,000
Divisor count
24
σ(n) — sum of divisors
291,312
φ(n) — Euler's totient
52,800
Sum of prime factors
177

Primality

Prime factorization: 2 2 × 5 × 67 × 101

Nearest primes: 135,329 (−11) · 135,347 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 67 · 101 · 134 · 202 · 268 · 335 · 404 · 505 · 670 · 1010 · 1340 · 2020 · 6767 · 13534 · 27068 · 33835 · 67670 (half) · 135340
Aliquot sum (sum of proper divisors): 155,972
Factor pairs (a × b = 135,340)
1 × 135340
2 × 67670
4 × 33835
5 × 27068
10 × 13534
20 × 6767
67 × 2020
101 × 1340
134 × 1010
202 × 670
268 × 505
335 × 404
First multiples
135,340 · 270,680 (double) · 406,020 · 541,360 · 676,700 · 812,040 · 947,380 · 1,082,720 · 1,218,060 · 1,353,400

Sums & aliquot sequence

As consecutive integers: 27,066 + 27,067 + 27,068 + 27,069 + 27,070 16,914 + 16,915 + … + 16,921 3,364 + 3,365 + … + 3,403 1,987 + 1,988 + … + 2,053
Aliquot sequence: 135,340 155,972 116,986 64,634 38,074 19,040 35,392 45,888 76,032 169,248 296,448 497,400 1,046,400 2,431,800 6,950,040 13,900,440 27,801,240 — unresolved within range

Continued fraction of √n

√135,340 = [367; (1, 7, 1, 3, 5, 1, 2, 10, 1, 29, 1, 2, 1, 12, 2, 1, 1, 3, 1, 3, 9, 20, 3, 34, …)]

Representations

In words
one hundred thirty-five thousand three hundred forty
Ordinal
135340th
Binary
100001000010101100
Octal
410254
Hexadecimal
0x210AC
Base64
AhCs
One's complement
4,294,831,955 (32-bit)
Scientific notation
1.3534 × 10⁵
As a duration
135,340 s = 1 day, 13 hours, 35 minutes, 40 seconds
In other bases
ternary (3) 20212122121
quaternary (4) 201002230
quinary (5) 13312330
senary (6) 2522324
septenary (7) 1102402
nonary (9) 225577
undecimal (11) 92757
duodecimal (12) 663a4
tridecimal (13) 497aa
tetradecimal (14) 37472
pentadecimal (15) 2a17a

As an angle

135,340° = 375 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλετμʹ
Mayan (base 20)
𝋰·𝋲·𝋧·𝋠
Chinese
一十三萬五千三百四十
Chinese (financial)
壹拾參萬伍仟參佰肆拾
In other modern scripts
Eastern Arabic ١٣٥٣٤٠ Devanagari १३५३४० Bengali ১৩৫৩৪০ Tamil ௧௩௫௩௪௦ Thai ๑๓๕๓๔๐ Tibetan ༡༣༥༣༤༠ Khmer ១៣៥៣៤០ Lao ໑໓໕໓໔໐ Burmese ၁၃၅၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135340, here are decompositions:

  • 11 + 135329 = 135340
  • 59 + 135281 = 135340
  • 83 + 135257 = 135340
  • 131 + 135209 = 135340
  • 167 + 135173 = 135340
  • 239 + 135101 = 135340
  • 251 + 135089 = 135340
  • 263 + 135077 = 135340

Showing the first eight; more decompositions exist.

Unicode codepoint
𡂬
CJK Unified Ideograph-210Ac
U+210AC
Other letter (Lo)

UTF-8 encoding: F0 A1 82 AC (4 bytes).

Hex color
#0210AC
RGB(2, 16, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.172.

Address
0.2.16.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.172

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 135,340 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