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134,540

134,540 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.).

134,540 (one hundred thirty-four thousand five hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 7 × 31². Its proper divisors sum to 199,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D8C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
45,431
Square (n²)
18,101,011,600
Cube (n³)
2,435,310,100,664,000
Divisor count
36
σ(n) — sum of divisors
333,648
φ(n) — Euler's totient
44,640
Sum of prime factors
78

Primality

Prime factorization: 2 2 × 5 × 7 × 31 2

Nearest primes: 134,513 (−27) · 134,581 (+41)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 31 · 35 · 62 · 70 · 124 · 140 · 155 · 217 · 310 · 434 · 620 · 868 · 961 · 1085 · 1922 · 2170 · 3844 · 4340 · 4805 · 6727 · 9610 · 13454 · 19220 · 26908 · 33635 · 67270 (half) · 134540
Aliquot sum (sum of proper divisors): 199,108
Factor pairs (a × b = 134,540)
1 × 134540
2 × 67270
4 × 33635
5 × 26908
7 × 19220
10 × 13454
14 × 9610
20 × 6727
28 × 4805
31 × 4340
35 × 3844
62 × 2170
70 × 1922
124 × 1085
140 × 961
155 × 868
217 × 620
310 × 434
First multiples
134,540 · 269,080 (double) · 403,620 · 538,160 · 672,700 · 807,240 · 941,780 · 1,076,320 · 1,210,860 · 1,345,400

Sums & aliquot sequence

As consecutive integers: 26,906 + 26,907 + 26,908 + 26,909 + 26,910 19,217 + 19,218 + … + 19,223 16,814 + 16,815 + … + 16,821 4,325 + 4,326 + … + 4,355
Aliquot sequence: 134,540 199,108 230,524 230,580 602,700 1,475,292 2,859,444 5,553,870 9,998,130 13,997,454 14,154,306 14,154,318 17,822,802 17,822,814 17,822,826 27,514,518 27,568,938 — unresolved within range

Continued fraction of √n

√134,540 = [366; (1, 3, 1, 12, 3, 2, 1, 182, 1, 2, 3, 12, 1, 3, 1, 732)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand five hundred forty
Ordinal
134540th
Binary
100000110110001100
Octal
406614
Hexadecimal
0x20D8C
Base64
Ag2M
One's complement
4,294,832,755 (32-bit)
Scientific notation
1.3454 × 10⁵
As a duration
134,540 s = 1 day, 13 hours, 22 minutes, 20 seconds
In other bases
ternary (3) 20211112222
quaternary (4) 200312030
quinary (5) 13301130
senary (6) 2514512
septenary (7) 1100150
nonary (9) 224488
undecimal (11) 9209a
duodecimal (12) 65a38
tridecimal (13) 49313
tetradecimal (14) 37060
pentadecimal (15) 29ce5

As an angle

134,540° = 373 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδφμʹ
Mayan (base 20)
𝋰·𝋰·𝋧·𝋠
Chinese
一十三萬四千五百四十
Chinese (financial)
壹拾參萬肆仟伍佰肆拾
In other modern scripts
Eastern Arabic ١٣٤٥٤٠ Devanagari १३४५४० Bengali ১৩৪৫৪০ Tamil ௧௩௪௫௪௦ Thai ๑๓๔๕๔๐ Tibetan ༡༣༤༥༤༠ Khmer ១៣៤៥៤០ Lao ໑໓໔໕໔໐ Burmese ၁၃၄၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134540, here are decompositions:

  • 37 + 134503 = 134540
  • 97 + 134443 = 134540
  • 103 + 134437 = 134540
  • 139 + 134401 = 134540
  • 181 + 134359 = 134540
  • 199 + 134341 = 134540
  • 271 + 134269 = 134540
  • 277 + 134263 = 134540

Showing the first eight; more decompositions exist.

Unicode codepoint
𠶌
CJK Unified Ideograph-20D8C
U+20D8C
Other letter (Lo)

UTF-8 encoding: F0 A0 B6 8C (4 bytes).

Hex color
#020D8C
RGB(2, 13, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.140.

Address
0.2.13.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.140

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 134,540 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 134540 first appears in π at position 200,120 of the decimal expansion (the 200,120ordinal-suffix:th 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

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