number.wiki
Live analysis

132,740

132,740 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.).

132,740 (one hundred thirty-two thousand seven hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,637. Its proper divisors sum to 146,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20684.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious 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
47,231
Square (n²)
17,619,907,600
Cube (n³)
2,338,866,534,824,000
Divisor count
12
σ(n) — sum of divisors
278,796
φ(n) — Euler's totient
53,088
Sum of prime factors
6,646

Primality

Prime factorization: 2 2 × 5 × 6637

Nearest primes: 132,739 (−1) · 132,749 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6637 · 13274 · 26548 · 33185 · 66370 (half) · 132740
Aliquot sum (sum of proper divisors): 146,056
Factor pairs (a × b = 132,740)
1 × 132740
2 × 66370
4 × 33185
5 × 26548
10 × 13274
20 × 6637
First multiples
132,740 · 265,480 (double) · 398,220 · 530,960 · 663,700 · 796,440 · 929,180 · 1,061,920 · 1,194,660 · 1,327,400

Sums & aliquot sequence

As a sum of two squares: 94² + 352² = 136² + 338²
As consecutive integers: 26,546 + 26,547 + 26,548 + 26,549 + 26,550 16,589 + 16,590 + … + 16,596 3,299 + 3,300 + … + 3,338
Aliquot sequence: 132,740 146,056 127,814 63,910 81,242 60,688 56,926 28,466 15,358 10,994 6,286 4,514 2,554 1,280 1,786 1,094 550 — unresolved within range

Continued fraction of √n

√132,740 = [364; (2, 1, 65, 1, 1, 2, 1, 3, 1, 5, 4, 3, 1, 2, 3, 10, 1, 10, 2, 9, 9, 8, 2, 6, …)]

Representations

In words
one hundred thirty-two thousand seven hundred forty
Ordinal
132740th
Binary
100000011010000100
Octal
403204
Hexadecimal
0x20684
Base64
AgaE
One's complement
4,294,834,555 (32-bit)
Scientific notation
1.3274 × 10⁵
As a duration
132,740 s = 1 day, 12 hours, 52 minutes, 20 seconds
In other bases
ternary (3) 20202002022
quaternary (4) 200122010
quinary (5) 13221430
senary (6) 2502312
septenary (7) 1061666
nonary (9) 222068
undecimal (11) 90803
duodecimal (12) 64998
tridecimal (13) 4855a
tetradecimal (14) 36536
pentadecimal (15) 294e5

As an angle

132,740° = 368 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβψμʹ
Mayan (base 20)
𝋰·𝋫·𝋱·𝋠
Chinese
一十三萬二千七百四十
Chinese (financial)
壹拾參萬貳仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٣٢٧٤٠ Devanagari १३२७४० Bengali ১৩২৭৪০ Tamil ௧௩௨௭௪௦ Thai ๑๓๒๗๔๐ Tibetan ༡༣༢༧༤༠ Khmer ១៣២៧៤០ Lao ໑໓໒໗໔໐ Burmese ၁၃၂၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132740, here are decompositions:

  • 19 + 132721 = 132740
  • 31 + 132709 = 132740
  • 43 + 132697 = 132740
  • 61 + 132679 = 132740
  • 73 + 132667 = 132740
  • 79 + 132661 = 132740
  • 103 + 132637 = 132740
  • 109 + 132631 = 132740

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚄
CJK Unified Ideograph-20684
U+20684
Other letter (Lo)

UTF-8 encoding: F0 A0 9A 84 (4 bytes).

Hex color
#020684
RGB(2, 6, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.132.

Address
0.2.6.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.132

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 132,740 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.