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132,820

132,820 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.).

132,820 (one hundred thirty-two thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 29 × 229. Its proper divisors sum to 156,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206D4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Practical 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
28,231
Square (n²)
17,641,152,400
Cube (n³)
2,343,097,861,768,000
Divisor count
24
σ(n) — sum of divisors
289,800
φ(n) — Euler's totient
51,072
Sum of prime factors
267

Primality

Prime factorization: 2 2 × 5 × 29 × 229

Nearest primes: 132,817 (−3) · 132,833 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 29 · 58 · 116 · 145 · 229 · 290 · 458 · 580 · 916 · 1145 · 2290 · 4580 · 6641 · 13282 · 26564 · 33205 · 66410 (half) · 132820
Aliquot sum (sum of proper divisors): 156,980
Factor pairs (a × b = 132,820)
1 × 132820
2 × 66410
4 × 33205
5 × 26564
10 × 13282
20 × 6641
29 × 4580
58 × 2290
116 × 1145
145 × 916
229 × 580
290 × 458
First multiples
132,820 · 265,640 (double) · 398,460 · 531,280 · 664,100 · 796,920 · 929,740 · 1,062,560 · 1,195,380 · 1,328,200

Sums & aliquot sequence

As a sum of two squares: 18² + 364² = 78² + 356² = 204² + 302² = 238² + 276²
As consecutive integers: 26,562 + 26,563 + 26,564 + 26,565 + 26,566 16,599 + 16,600 + … + 16,606 4,566 + 4,567 + … + 4,594 3,301 + 3,302 + … + 3,340
Aliquot sequence: 132,820 156,980 181,708 136,288 132,092 99,076 94,460 103,948 92,052 140,726 82,834 43,166 22,498 16,094 9,946 4,976 4,696 — unresolved within range

Continued fraction of √n

√132,820 = [364; (2, 4, 36, 4, 2, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred twenty
Ordinal
132820th
Binary
100000011011010100
Octal
403324
Hexadecimal
0x206D4
Base64
AgbU
One's complement
4,294,834,475 (32-bit)
Scientific notation
1.3282 × 10⁵
As a duration
132,820 s = 1 day, 12 hours, 53 minutes, 40 seconds
In other bases
ternary (3) 20202012021
quaternary (4) 200123110
quinary (5) 13222240
senary (6) 2502524
septenary (7) 1062142
nonary (9) 222167
undecimal (11) 90876
duodecimal (12) 64a44
tridecimal (13) 485bc
tetradecimal (14) 36592
pentadecimal (15) 2954a

As an angle

132,820° = 368 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλβωκʹ
Mayan (base 20)
𝋰·𝋬·𝋡·𝋠
Chinese
一十三萬二千八百二十
Chinese (financial)
壹拾參萬貳仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٣٢٨٢٠ Devanagari १३२८२० Bengali ১৩২৮২০ Tamil ௧௩௨௮௨௦ Thai ๑๓๒๘๒๐ Tibetan ༡༣༢༨༢༠ Khmer ១៣២៨២០ Lao ໑໓໒໘໒໐ Burmese ၁၃၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132820, here are decompositions:

  • 3 + 132817 = 132820
  • 59 + 132761 = 132820
  • 71 + 132749 = 132820
  • 113 + 132707 = 132820
  • 131 + 132689 = 132820
  • 173 + 132647 = 132820
  • 197 + 132623 = 132820
  • 293 + 132527 = 132820

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛔
CJK Unified Ideograph-206D4
U+206D4
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 94 (4 bytes).

Hex color
#0206D4
RGB(2, 6, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.212.

Address
0.2.6.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.212

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 132,820 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 132820 first appears in π at position 953,995 of the decimal expansion (the 953,995ordinal-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