number.wiki
Live analysis

131,540

131,540 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.).

131,540 (one hundred thirty-one thousand five hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,577. Its proper divisors sum to 144,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x201D4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
45,131
Recamán's sequence
a(229,292) = 131,540
Square (n²)
17,302,771,600
Cube (n³)
2,276,006,576,264,000
Divisor count
12
σ(n) — sum of divisors
276,276
φ(n) — Euler's totient
52,608
Sum of prime factors
6,586

Primality

Prime factorization: 2 2 × 5 × 6577

Nearest primes: 131,519 (−21) · 131,543 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6577 · 13154 · 26308 · 32885 · 65770 (half) · 131540
Aliquot sum (sum of proper divisors): 144,736
Factor pairs (a × b = 131,540)
1 × 131540
2 × 65770
4 × 32885
5 × 26308
10 × 13154
20 × 6577
First multiples
131,540 · 263,080 (double) · 394,620 · 526,160 · 657,700 · 789,240 · 920,780 · 1,052,320 · 1,183,860 · 1,315,400

Sums & aliquot sequence

As a sum of two squares: 146² + 332² = 178² + 316²
As consecutive integers: 26,306 + 26,307 + 26,308 + 26,309 + 26,310 16,439 + 16,440 + … + 16,446 3,269 + 3,270 + … + 3,308
Aliquot sequence: 131,540 144,736 140,276 105,214 57,794 40,702 21,794 12,874 7,034 3,520 5,624 5,776 6,035 1,741 1 0 — terminates at zero

Continued fraction of √n

√131,540 = [362; (1, 2, 5, 1, 11, 2, 4, 1, 2, 1, 4, 1, 3, 1, 44, 1, 1, 5, 2, 1, 9, 1, 1, 7, …)]

Representations

In words
one hundred thirty-one thousand five hundred forty
Ordinal
131540th
Binary
100000000111010100
Octal
400724
Hexadecimal
0x201D4
Base64
AgHU
One's complement
4,294,835,755 (32-bit)
Scientific notation
1.3154 × 10⁵
As a duration
131,540 s = 1 day, 12 hours, 32 minutes, 20 seconds
In other bases
ternary (3) 20200102212
quaternary (4) 200013110
quinary (5) 13202130
senary (6) 2452552
septenary (7) 1055333
nonary (9) 220385
undecimal (11) 8a912
duodecimal (12) 64158
tridecimal (13) 47b46
tetradecimal (14) 35d1a
pentadecimal (15) 28e95

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαφμʹ
Mayan (base 20)
𝋰·𝋨·𝋱·𝋠
Chinese
一十三萬一千五百四十
Chinese (financial)
壹拾參萬壹仟伍佰肆拾
In other modern scripts
Eastern Arabic ١٣١٥٤٠ Devanagari १३१५४० Bengali ১৩১৫৪০ Tamil ௧௩௧௫௪௦ Thai ๑๓๑๕๔๐ Tibetan ༡༣༡༥༤༠ Khmer ១៣១៥៤០ Lao ໑໓໑໕໔໐ Burmese ၁၃၁၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131540, here are decompositions:

  • 43 + 131497 = 131540
  • 61 + 131479 = 131540
  • 103 + 131437 = 131540
  • 109 + 131431 = 131540
  • 127 + 131413 = 131540
  • 223 + 131317 = 131540
  • 229 + 131311 = 131540
  • 337 + 131203 = 131540

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇔
CJK Unified Ideograph-201D4
U+201D4
Other letter (Lo)

UTF-8 encoding: F0 A0 87 94 (4 bytes).

Hex color
#0201D4
RGB(2, 1, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.212.

Address
0.2.1.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.212

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 131,540 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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