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132,684

132,684 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.).

132,684 (one hundred thirty-two thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,057. Its proper divisors sum to 176,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2064C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
486,231
Square (n²)
17,605,043,856
Cube (n³)
2,335,907,638,989,504
Divisor count
12
σ(n) — sum of divisors
309,624
φ(n) — Euler's totient
44,224
Sum of prime factors
11,064

Primality

Prime factorization: 2 2 × 3 × 11057

Nearest primes: 132,679 (−5) · 132,689 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11057 · 22114 · 33171 · 44228 · 66342 (half) · 132684
Aliquot sum (sum of proper divisors): 176,940
Factor pairs (a × b = 132,684)
1 × 132684
2 × 66342
3 × 44228
4 × 33171
6 × 22114
12 × 11057
First multiples
132,684 · 265,368 (double) · 398,052 · 530,736 · 663,420 · 796,104 · 928,788 · 1,061,472 · 1,194,156 · 1,326,840

Sums & aliquot sequence

As consecutive integers: 44,227 + 44,228 + 44,229 16,582 + 16,583 + … + 16,589 5,517 + 5,518 + … + 5,540
Aliquot sequence: 132,684 176,940 360,324 550,586 289,018 175,238 125,194 62,600 83,410 74,990 60,010 54,686 29,674 16,154 8,794 4,400 7,132 — unresolved within range

Continued fraction of √n

√132,684 = [364; (3, 1, 6, 1, 11, 3, 1, 2, 4, 2, 1, 28, 2, 4, 1, 1, 7, 8, 2, 3, 1, 1, 4, 7, …)]

Representations

In words
one hundred thirty-two thousand six hundred eighty-four
Ordinal
132684th
Binary
100000011001001100
Octal
403114
Hexadecimal
0x2064C
Base64
AgZM
One's complement
4,294,834,611 (32-bit)
Scientific notation
1.32684 × 10⁵
As a duration
132,684 s = 1 day, 12 hours, 51 minutes, 24 seconds
In other bases
ternary (3) 20202000020
quaternary (4) 200121030
quinary (5) 13221214
senary (6) 2502140
septenary (7) 1061556
nonary (9) 222006
undecimal (11) 90762
duodecimal (12) 64950
tridecimal (13) 48516
tetradecimal (14) 364d6
pentadecimal (15) 294a9

As an angle

132,684° = 368 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχπδʹ
Mayan (base 20)
𝋰·𝋫·𝋮·𝋤
Chinese
一十三萬二千六百八十四
Chinese (financial)
壹拾參萬貳仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٢٦٨٤ Devanagari १३२६८४ Bengali ১৩২৬৮৪ Tamil ௧௩௨௬௮௪ Thai ๑๓๒๖๘๔ Tibetan ༡༣༢༦༨༤ Khmer ១៣២៦៨៤ Lao ໑໓໒໖໘໔ Burmese ၁၃၂၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132684, here are decompositions:

  • 5 + 132679 = 132684
  • 17 + 132667 = 132684
  • 23 + 132661 = 132684
  • 37 + 132647 = 132684
  • 47 + 132637 = 132684
  • 53 + 132631 = 132684
  • 61 + 132623 = 132684
  • 73 + 132611 = 132684

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙌
CJK Unified Ideograph-2064C
U+2064C
Other letter (Lo)

UTF-8 encoding: F0 A0 99 8C (4 bytes).

Hex color
#02064C
RGB(2, 6, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.76.

Address
0.2.6.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.76

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 132,684 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 132684 first appears in π at position 404,012 of the decimal expansion (the 404,012ordinal-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°.