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132,128

132,128 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.).

132,128 (one hundred thirty-two thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,129. Written other ways, in hexadecimal, 0x20420.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
821,231
Recamán's sequence
a(228,116) = 132,128
Square (n²)
17,457,808,384
Cube (n³)
2,306,665,306,161,152
Divisor count
12
σ(n) — sum of divisors
260,190
φ(n) — Euler's totient
66,048
Sum of prime factors
4,139

Primality

Prime factorization: 2 5 × 4129

Nearest primes: 132,113 (−15) · 132,137 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4129 · 8258 · 16516 · 33032 · 66064 (half) · 132128
Aliquot sum (sum of proper divisors): 128,062
Factor pairs (a × b = 132,128)
1 × 132128
2 × 66064
4 × 33032
8 × 16516
16 × 8258
32 × 4129
First multiples
132,128 · 264,256 (double) · 396,384 · 528,512 · 660,640 · 792,768 · 924,896 · 1,057,024 · 1,189,152 · 1,321,280

Sums & aliquot sequence

As a sum of two squares: 148² + 332²
As consecutive integers: 2,033 + 2,034 + … + 2,096
Aliquot sequence: 132,128 128,062 81,530 70,534 35,270 28,234 16,406 10,138 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 1,594 — unresolved within range

Continued fraction of √n

√132,128 = [363; (2, 42, 3, 1, 3, 1, 1, 1, 1, 22, 9, 6, 3, 10, 2, 1, 2, 181, 2, 1, 2, 10, 3, 6, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand one hundred twenty-eight
Ordinal
132128th
Binary
100000010000100000
Octal
402040
Hexadecimal
0x20420
Base64
AgQg
One's complement
4,294,835,167 (32-bit)
Scientific notation
1.32128 × 10⁵
As a duration
132,128 s = 1 day, 12 hours, 42 minutes, 8 seconds
In other bases
ternary (3) 20201020122
quaternary (4) 200100200
quinary (5) 13212003
senary (6) 2455412
septenary (7) 1060133
nonary (9) 221218
undecimal (11) 902a7
duodecimal (12) 64568
tridecimal (13) 481a9
tetradecimal (14) 3621a
pentadecimal (15) 29238

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρκηʹ
Mayan (base 20)
𝋰·𝋪·𝋦·𝋨
Chinese
一十三萬二千一百二十八
Chinese (financial)
壹拾參萬貳仟壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٢١٢٨ Devanagari १३२१२८ Bengali ১৩২১২৮ Tamil ௧௩௨௧௨௮ Thai ๑๓๒๑๒๘ Tibetan ༡༣༢༡༢༨ Khmer ១៣២១២៨ Lao ໑໓໒໑໒໘ Burmese ၁၃၂၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132128, here are decompositions:

  • 19 + 132109 = 132128
  • 79 + 132049 = 132128
  • 109 + 132019 = 132128
  • 127 + 132001 = 132128
  • 181 + 131947 = 132128
  • 229 + 131899 = 132128
  • 331 + 131797 = 132128
  • 349 + 131779 = 132128

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐠
CJK Unified Ideograph-20420
U+20420
Other letter (Lo)

UTF-8 encoding: F0 A0 90 A0 (4 bytes).

Hex color
#020420
RGB(2, 4, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.32.

Address
0.2.4.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.32

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 132,128 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 132128 first appears in π at position 325,692 of the decimal expansion (the 325,692ordinal-suffix:nd 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.