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132,068

132,068 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.).

132,068 (one hundred thirty-two thousand sixty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 137 × 241. Written other ways, in hexadecimal, 0x203E4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
860,231
Recamán's sequence
a(228,236) = 132,068
Square (n²)
17,441,956,624
Cube (n³)
2,303,524,327,418,432
Divisor count
12
σ(n) — sum of divisors
233,772
φ(n) — Euler's totient
65,280
Sum of prime factors
382

Primality

Prime factorization: 2 2 × 137 × 241

Nearest primes: 132,059 (−9) · 132,071 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 137 · 241 · 274 · 482 · 548 · 964 · 33017 · 66034 (half) · 132068
Aliquot sum (sum of proper divisors): 101,704
Factor pairs (a × b = 132,068)
1 × 132068
2 × 66034
4 × 33017
137 × 964
241 × 548
274 × 482
First multiples
132,068 · 264,136 (double) · 396,204 · 528,272 · 660,340 · 792,408 · 924,476 · 1,056,544 · 1,188,612 · 1,320,680

Sums & aliquot sequence

As a sum of two squares: 32² + 362² = 208² + 298²
As consecutive integers: 16,505 + 16,506 + … + 16,512 896 + 897 + … + 1,032 428 + 429 + … + 668
Aliquot sequence: 132,068 101,704 89,006 45,778 24,494 13,354 8,534 5,074 2,846 1,426 878 442 314 160 218 112 136 — unresolved within range

Continued fraction of √n

√132,068 = [363; (2, 2, 3, 22, 2, 2, 1, 1, 2, 3, 1, 10, 1, 1, 2, 2, 5, 3, 1, 4, 1, 11, 11, 3, …)]

Representations

In words
one hundred thirty-two thousand sixty-eight
Ordinal
132068th
Binary
100000001111100100
Octal
401744
Hexadecimal
0x203E4
Base64
AgPk
One's complement
4,294,835,227 (32-bit)
Scientific notation
1.32068 × 10⁵
As a duration
132,068 s = 1 day, 12 hours, 41 minutes, 8 seconds
In other bases
ternary (3) 20201011102
quaternary (4) 200033210
quinary (5) 13211233
senary (6) 2455232
septenary (7) 1060016
nonary (9) 221142
undecimal (11) 90252
duodecimal (12) 64518
tridecimal (13) 48161
tetradecimal (14) 361b6
pentadecimal (15) 291e8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβξηʹ
Mayan (base 20)
𝋰·𝋪·𝋣·𝋨
Chinese
一十三萬二千零六十八
Chinese (financial)
壹拾參萬貳仟零陸拾捌
In other modern scripts
Eastern Arabic ١٣٢٠٦٨ Devanagari १३२०६८ Bengali ১৩২০৬৮ Tamil ௧௩௨௦௬௮ Thai ๑๓๒๐๖๘ Tibetan ༡༣༢༠༦༨ Khmer ១៣២០៦៨ Lao ໑໓໒໐໖໘ Burmese ၁၃၂၀၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132068, here are decompositions:

  • 19 + 132049 = 132068
  • 67 + 132001 = 132068
  • 109 + 131959 = 132068
  • 127 + 131941 = 132068
  • 229 + 131839 = 132068
  • 271 + 131797 = 132068
  • 337 + 131731 = 132068
  • 367 + 131701 = 132068

Showing the first eight; more decompositions exist.

Unicode codepoint
𠏤
CJK Unified Ideograph-203E4
U+203E4
Other letter (Lo)

UTF-8 encoding: F0 A0 8F A4 (4 bytes).

Hex color
#0203E4
RGB(2, 3, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.228.

Address
0.2.3.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.228

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 132,068 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 132068 first appears in π at position 98,009 of the decimal expansion (the 98,009ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.