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132,020

132,020 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.).

132,020 (one hundred thirty-two thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 23 × 41. Its proper divisors sum to 206,668, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x203B4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
20,231
Recamán's sequence
a(228,332) = 132,020
Square (n²)
17,429,280,400
Cube (n³)
2,301,013,598,408,000
Divisor count
48
σ(n) — sum of divisors
338,688
φ(n) — Euler's totient
42,240
Sum of prime factors
80

Primality

Prime factorization: 2 2 × 5 × 7 × 23 × 41

Nearest primes: 132,019 (−1) · 132,047 (+27)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 28 · 35 · 41 · 46 · 70 · 82 · 92 · 115 · 140 · 161 · 164 · 205 · 230 · 287 · 322 · 410 · 460 · 574 · 644 · 805 · 820 · 943 · 1148 · 1435 · 1610 · 1886 · 2870 · 3220 · 3772 · 4715 · 5740 · 6601 · 9430 · 13202 · 18860 · 26404 · 33005 · 66010 (half) · 132020
Aliquot sum (sum of proper divisors): 206,668
Factor pairs (a × b = 132,020)
1 × 132020
2 × 66010
4 × 33005
5 × 26404
7 × 18860
10 × 13202
14 × 9430
20 × 6601
23 × 5740
28 × 4715
35 × 3772
41 × 3220
46 × 2870
70 × 1886
82 × 1610
92 × 1435
115 × 1148
140 × 943
161 × 820
164 × 805
205 × 644
230 × 574
287 × 460
322 × 410
First multiples
132,020 · 264,040 (double) · 396,060 · 528,080 · 660,100 · 792,120 · 924,140 · 1,056,160 · 1,188,180 · 1,320,200

Sums & aliquot sequence

As consecutive integers: 26,402 + 26,403 + 26,404 + 26,405 + 26,406 18,857 + 18,858 + … + 18,863 16,499 + 16,500 + … + 16,506 5,729 + 5,730 + … + 5,751
Aliquot sequence: 132,020 206,668 255,108 425,404 425,460 937,356 1,562,484 3,275,916 5,621,364 10,618,860 23,798,292 40,549,740 104,215,188 198,958,956 392,454,804 709,177,196 849,493,204 — unresolved within range

Continued fraction of √n

√132,020 = [363; (2, 1, 8, 2, 2, 1, 1, 44, 1, 5, 36, 5, 1, 44, 1, 1, 2, 2, 8, 1, 2, 726)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand twenty
Ordinal
132020th
Binary
100000001110110100
Octal
401664
Hexadecimal
0x203B4
Base64
AgO0
One's complement
4,294,835,275 (32-bit)
Scientific notation
1.3202 × 10⁵
As a duration
132,020 s = 1 day, 12 hours, 40 minutes, 20 seconds
In other bases
ternary (3) 20201002122
quaternary (4) 200032310
quinary (5) 13211040
senary (6) 2455112
septenary (7) 1056620
nonary (9) 221078
undecimal (11) 90209
duodecimal (12) 64498
tridecimal (13) 48125
tetradecimal (14) 36180
pentadecimal (15) 291b5
Palindromic in base 11

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ρλβκʹ
Mayan (base 20)
𝋰·𝋪·𝋡·𝋠
Chinese
一十三萬二千零二十
Chinese (financial)
壹拾參萬貳仟零貳拾
In other modern scripts
Eastern Arabic ١٣٢٠٢٠ Devanagari १३२०२० Bengali ১৩২০২০ Tamil ௧௩௨௦௨௦ Thai ๑๓๒๐๒๐ Tibetan ༡༣༢༠༢༠ Khmer ១៣២០២០ Lao ໑໓໒໐໒໐ Burmese ၁၃၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132020, here are decompositions:

  • 19 + 132001 = 132020
  • 61 + 131959 = 132020
  • 73 + 131947 = 132020
  • 79 + 131941 = 132020
  • 127 + 131893 = 132020
  • 181 + 131839 = 132020
  • 223 + 131797 = 132020
  • 241 + 131779 = 132020

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎴
CJK Unified Ideograph-203B4
U+203B4
Other letter (Lo)

UTF-8 encoding: F0 A0 8E B4 (4 bytes).

Hex color
#0203B4
RGB(2, 3, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.180.

Address
0.2.3.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.180

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 132,020 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.