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132,300

132,300 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.).

132,300 (one hundred thirty-two thousand three hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3³ × 5² × 7². Its proper divisors sum to 362,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204CC.

Abundant Number Achilles Number Evil Number Gapful Number Happy Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
3,231
Recamán's sequence
a(227,772) = 132,300
Square (n²)
17,503,290,000
Cube (n³)
2,315,685,267,000,000
Divisor count
108
σ(n) — sum of divisors
494,760
φ(n) — Euler's totient
30,240
Sum of prime factors
37

Primality

Prime factorization: 2 2 × 3 3 × 5 2 × 7 2

Nearest primes: 132,299 (−1) · 132,313 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 25 · 27 · 28 · 30 · 35 · 36 · 42 · 45 · 49 · 50 · 54 · 60 · 63 · 70 · 75 · 84 · 90 · 98 · 100 · 105 · 108 · 126 · 135 · 140 · 147 · 150 · 175 · 180 · 189 · 196 · 210 · 225 · 245 · 252 · 270 · 294 · 300 · 315 · 350 · 378 · 420 · 441 · 450 · 490 · 525 · 540 · 588 · 630 · 675 · 700 · 735 · 756 · 882 · 900 · 945 · 980 · 1050 · 1225 · 1260 · 1323 · 1350 · 1470 · 1575 · 1764 · 1890 · 2100 · 2205 · 2450 · 2646 · 2700 · 2940 · 3150 · 3675 · 3780 · 4410 · 4725 · 4900 · 5292 · 6300 · 6615 · 7350 · 8820 · 9450 · 11025 · 13230 · 14700 · 18900 · 22050 · 26460 · 33075 · 44100 · 66150 (half) · 132300
Aliquot sum (sum of proper divisors): 362,460
Factor pairs (a × b = 132,300)
1 × 132300
2 × 66150
3 × 44100
4 × 33075
5 × 26460
6 × 22050
7 × 18900
9 × 14700
10 × 13230
12 × 11025
14 × 9450
15 × 8820
18 × 7350
20 × 6615
21 × 6300
25 × 5292
27 × 4900
28 × 4725
30 × 4410
35 × 3780
36 × 3675
42 × 3150
45 × 2940
49 × 2700
50 × 2646
54 × 2450
60 × 2205
63 × 2100
70 × 1890
75 × 1764
84 × 1575
90 × 1470
98 × 1350
100 × 1323
105 × 1260
108 × 1225
126 × 1050
135 × 980
140 × 945
147 × 900
150 × 882
175 × 756
180 × 735
189 × 700
196 × 675
210 × 630
225 × 588
245 × 540
252 × 525
270 × 490
294 × 450
300 × 441
315 × 420
350 × 378
First multiples
132,300 · 264,600 (double) · 396,900 · 529,200 · 661,500 · 793,800 · 926,100 · 1,058,400 · 1,190,700 · 1,323,000

Sums & aliquot sequence

As consecutive integers: 44,099 + 44,100 + 44,101 26,458 + 26,459 + 26,460 + 26,461 + 26,462 18,897 + 18,898 + … + 18,903 16,534 + 16,535 + … + 16,541
Aliquot sequence: 132,300 362,460 798,756 1,397,340 3,451,140 10,096,380 25,815,300 64,178,940 146,259,204 277,025,532 474,243,588 1,001,191,100 1,689,261,700 2,500,109,052 4,166,848,644 7,327,912,956 14,156,647,428 — keeps growing

Continued fraction of √n

√132,300 = [363; (1, 2, 1, 2, 2, 14, 2, 2, 1, 2, 1, 726)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred
Ordinal
132300th
Binary
100000010011001100
Octal
402314
Hexadecimal
0x204CC
Base64
AgTM
One's complement
4,294,834,995 (32-bit)
Scientific notation
1.323 × 10⁵
As a duration
132,300 s = 1 day, 12 hours, 45 minutes
In other bases
ternary (3) 20201111000
quaternary (4) 200103030
quinary (5) 13213200
senary (6) 2500300
septenary (7) 1060500
nonary (9) 221430
undecimal (11) 90443
duodecimal (12) 64690
tridecimal (13) 482ac
tetradecimal (14) 36300
pentadecimal (15) 29300

As an angle

132,300° = 367 × 360° + 180°
180° ≈ 3.142 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢
Greek (Milesian)
͵ρλβτʹ
Mayan (base 20)
𝋰·𝋪·𝋯·𝋠
Chinese
一十三萬二千三百
Chinese (financial)
壹拾參萬貳仟參佰
In other modern scripts
Eastern Arabic ١٣٢٣٠٠ Devanagari १३२३०० Bengali ১৩২৩০০ Tamil ௧௩௨௩௦௦ Thai ๑๓๒๓๐๐ Tibetan ༡༣༢༣༠༠ Khmer ១៣២៣០០ Lao ໑໓໒໓໐໐ Burmese ၁၃၂၃၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132300, here are decompositions:

  • 13 + 132287 = 132300
  • 17 + 132283 = 132300
  • 37 + 132263 = 132300
  • 43 + 132257 = 132300
  • 53 + 132247 = 132300
  • 59 + 132241 = 132300
  • 67 + 132233 = 132300
  • 71 + 132229 = 132300

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓌
CJK Unified Ideograph-204Cc
U+204CC
Other letter (Lo)

UTF-8 encoding: F0 A0 93 8C (4 bytes).

Hex color
#0204CC
RGB(2, 4, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.204.

Address
0.2.4.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.204

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 132,300 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.