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132,966

132,966 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.).

132,966 (one hundred thirty-two thousand nine hundred sixty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 83 × 89. Its proper divisors sum to 161,874, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20766.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,944
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
669,231
Square (n²)
17,679,957,156
Cube (n³)
2,350,833,183,204,696
Divisor count
24
σ(n) — sum of divisors
294,840
φ(n) — Euler's totient
43,296
Sum of prime factors
180

Primality

Prime factorization: 2 × 3 2 × 83 × 89

Nearest primes: 132,961 (−5) · 132,967 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 83 · 89 · 166 · 178 · 249 · 267 · 498 · 534 · 747 · 801 · 1494 · 1602 · 7387 · 14774 · 22161 · 44322 · 66483 (half) · 132966
Aliquot sum (sum of proper divisors): 161,874
Factor pairs (a × b = 132,966)
1 × 132966
2 × 66483
3 × 44322
6 × 22161
9 × 14774
18 × 7387
83 × 1602
89 × 1494
166 × 801
178 × 747
249 × 534
267 × 498
First multiples
132,966 · 265,932 (double) · 398,898 · 531,864 · 664,830 · 797,796 · 930,762 · 1,063,728 · 1,196,694 · 1,329,660

Sums & aliquot sequence

As consecutive integers: 44,321 + 44,322 + 44,323 33,240 + 33,241 + 33,242 + 33,243 14,770 + 14,771 + … + 14,778 11,075 + 11,076 + … + 11,086
Aliquot sequence: 132,966 161,874 226,332 345,876 547,884 976,716 1,683,396 3,491,004 5,580,996 8,243,388 12,594,156 18,070,548 26,273,388 35,149,204 26,361,910 23,153,066 11,597,338 — unresolved within range

Continued fraction of √n

√132,966 = [364; (1, 1, 1, 4, 2, 7, 1, 1, 1, 6, 1, 2, 2, 28, 1, 2, 1, 14, 7, 2, 1, 2, 14, 4, …)]

Representations

In words
one hundred thirty-two thousand nine hundred sixty-six
Ordinal
132966th
Binary
100000011101100110
Octal
403546
Hexadecimal
0x20766
Base64
Agdm
One's complement
4,294,834,329 (32-bit)
Scientific notation
1.32966 × 10⁵
As a duration
132,966 s = 1 day, 12 hours, 56 minutes, 6 seconds
In other bases
ternary (3) 20202101200
quaternary (4) 200131212
quinary (5) 13223331
senary (6) 2503330
septenary (7) 1062441
nonary (9) 222350
undecimal (11) 90999
duodecimal (12) 64b46
tridecimal (13) 486a2
tetradecimal (14) 36658
pentadecimal (15) 295e6
Palindromic in base 12

As an angle

132,966° = 369 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡξϛʹ
Mayan (base 20)
𝋰·𝋬·𝋨·𝋦
Chinese
一十三萬二千九百六十六
Chinese (financial)
壹拾參萬貳仟玖佰陸拾陸
In other modern scripts
Eastern Arabic ١٣٢٩٦٦ Devanagari १३२९६६ Bengali ১৩২৯৬৬ Tamil ௧௩௨௯௬௬ Thai ๑๓๒๙๖๖ Tibetan ༡༣༢༩༦༦ Khmer ១៣២៩៦៦ Lao ໑໓໒໙໖໖ Burmese ၁၃၂၉၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132966, here are decompositions:

  • 5 + 132961 = 132966
  • 13 + 132953 = 132966
  • 17 + 132949 = 132966
  • 19 + 132947 = 132966
  • 37 + 132929 = 132966
  • 73 + 132893 = 132966
  • 79 + 132887 = 132966
  • 103 + 132863 = 132966

Showing the first eight; more decompositions exist.

Unicode codepoint
𠝦
CJK Unified Ideograph-20766
U+20766
Other letter (Lo)

UTF-8 encoding: F0 A0 9D A6 (4 bytes).

Hex color
#020766
RGB(2, 7, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.102.

Address
0.2.7.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.102

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 132,966 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 132966 first appears in π at position 207,607 of the decimal expansion (the 207,607ordinal-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

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