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135,640

135,640 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.).

135,640 (one hundred thirty-five thousand six hundred forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,391. Its proper divisors sum to 169,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x211D8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
46,531
Square (n²)
18,398,209,600
Cube (n³)
2,495,533,150,144,000
Divisor count
16
σ(n) — sum of divisors
305,280
φ(n) — Euler's totient
54,240
Sum of prime factors
3,402

Primality

Prime factorization: 2 3 × 5 × 3391

Nearest primes: 135,637 (−3) · 135,647 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3391 · 6782 · 13564 · 16955 · 27128 · 33910 · 67820 (half) · 135640
Aliquot sum (sum of proper divisors): 169,640
Factor pairs (a × b = 135,640)
1 × 135640
2 × 67820
4 × 33910
5 × 27128
8 × 16955
10 × 13564
20 × 6782
40 × 3391
First multiples
135,640 · 271,280 (double) · 406,920 · 542,560 · 678,200 · 813,840 · 949,480 · 1,085,120 · 1,220,760 · 1,356,400

Sums & aliquot sequence

As consecutive integers: 27,126 + 27,127 + 27,128 + 27,129 + 27,130 8,470 + 8,471 + … + 8,485 1,656 + 1,657 + … + 1,735
Aliquot sequence: 135,640 169,640 212,140 233,396 213,484 187,336 163,934 81,970 86,798 43,402 21,704 19,006 14,258 7,132 5,356 4,836 7,708 — unresolved within range

Continued fraction of √n

√135,640 = [368; (3, 2, 2, 4, 6, 8, 8, 1, 1, 1, 4, 1, 4, 18, 4, 1, 4, 1, 1, 1, 8, 8, 6, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand six hundred forty
Ordinal
135640th
Binary
100001000111011000
Octal
410730
Hexadecimal
0x211D8
Base64
AhHY
One's complement
4,294,831,655 (32-bit)
Scientific notation
1.3564 × 10⁵
As a duration
135,640 s = 1 day, 13 hours, 40 minutes, 40 seconds
In other bases
ternary (3) 20220001201
quaternary (4) 201013120
quinary (5) 13320030
senary (6) 2523544
septenary (7) 1103311
nonary (9) 226051
undecimal (11) 929aa
duodecimal (12) 665b4
tridecimal (13) 4997b
tetradecimal (14) 37608
pentadecimal (15) 2a2ca

As an angle

135,640° = 376 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεχμʹ
Mayan (base 20)
𝋰·𝋳·𝋢·𝋠
Chinese
一十三萬五千六百四十
Chinese (financial)
壹拾參萬伍仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٣٥٦٤٠ Devanagari १३५६४० Bengali ১৩৫৬৪০ Tamil ௧௩௫௬௪௦ Thai ๑๓๕๖๔๐ Tibetan ༡༣༥༦༤༠ Khmer ១៣៥៦៤០ Lao ໑໓໕໖໔໐ Burmese ၁၃၅၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135640, here are decompositions:

  • 3 + 135637 = 135640
  • 17 + 135623 = 135640
  • 23 + 135617 = 135640
  • 41 + 135599 = 135640
  • 47 + 135593 = 135640
  • 59 + 135581 = 135640
  • 107 + 135533 = 135640
  • 173 + 135467 = 135640

Showing the first eight; more decompositions exist.

Unicode codepoint
𡇘
CJK Unified Ideograph-211D8
U+211D8
Other letter (Lo)

UTF-8 encoding: F0 A1 87 98 (4 bytes).

Hex color
#0211D8
RGB(2, 17, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.216.

Address
0.2.17.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.216

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 135,640 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