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132,016

132,016 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.).

132,016 (one hundred thirty-two thousand sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 37 × 223. Written other ways, in hexadecimal, 0x203B0.

Deficient Number Evil Number Gapful Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
610,231
Recamán's sequence
a(228,340) = 132,016
Square (n²)
17,428,224,256
Cube (n³)
2,300,804,453,380,096
Divisor count
20
σ(n) — sum of divisors
263,872
φ(n) — Euler's totient
63,936
Sum of prime factors
268

Primality

Prime factorization: 2 4 × 37 × 223

Nearest primes: 132,001 (−15) · 132,019 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 37 · 74 · 148 · 223 · 296 · 446 · 592 · 892 · 1784 · 3568 · 8251 · 16502 · 33004 · 66008 (half) · 132016
Aliquot sum (sum of proper divisors): 131,856
Factor pairs (a × b = 132,016)
1 × 132016
2 × 66008
4 × 33004
8 × 16502
16 × 8251
37 × 3568
74 × 1784
148 × 892
223 × 592
296 × 446
First multiples
132,016 · 264,032 (double) · 396,048 · 528,064 · 660,080 · 792,096 · 924,112 · 1,056,128 · 1,188,144 · 1,320,160

Sums & aliquot sequence

As consecutive integers: 4,110 + 4,111 + … + 4,141 3,550 + 3,551 + … + 3,586 481 + 482 + … + 703
Aliquot sequence: 132,016 131,856 222,288 405,648 772,166 386,086 193,046 137,914 98,534 57,106 40,814 20,410 19,406 10,738 9,422 6,754 4,334 — unresolved within range

Continued fraction of √n

√132,016 = [363; (2, 1, 15, 1, 5, 1, 1, 1, 1, 5, 2, 1, 1, 80, 6, 1, 2, 1, 1, 10, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand sixteen
Ordinal
132016th
Binary
100000001110110000
Octal
401660
Hexadecimal
0x203B0
Base64
AgOw
One's complement
4,294,835,279 (32-bit)
Scientific notation
1.32016 × 10⁵
As a duration
132,016 s = 1 day, 12 hours, 40 minutes, 16 seconds
In other bases
ternary (3) 20201002111
quaternary (4) 200032300
quinary (5) 13211031
senary (6) 2455104
septenary (7) 1056613
nonary (9) 221074
undecimal (11) 90205
duodecimal (12) 64494
tridecimal (13) 48121
tetradecimal (14) 3617a
pentadecimal (15) 291b1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβιϛʹ
Mayan (base 20)
𝋰·𝋪·𝋠·𝋰
Chinese
一十三萬二千零一十六
Chinese (financial)
壹拾參萬貳仟零壹拾陸
In other modern scripts
Eastern Arabic ١٣٢٠١٦ Devanagari १३२०१६ Bengali ১৩২০১৬ Tamil ௧௩௨௦௧௬ Thai ๑๓๒๐๑๖ Tibetan ༡༣༢༠༡༦ Khmer ១៣២០១៦ Lao ໑໓໒໐໑໖ Burmese ၁၃၂၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132016, here are decompositions:

  • 47 + 131969 = 132016
  • 83 + 131933 = 132016
  • 89 + 131927 = 132016
  • 107 + 131909 = 132016
  • 167 + 131849 = 132016
  • 179 + 131837 = 132016
  • 233 + 131783 = 132016
  • 239 + 131777 = 132016

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎰
CJK Unified Ideograph-203B0
U+203B0
Other letter (Lo)

UTF-8 encoding: F0 A0 8E B0 (4 bytes).

Hex color
#0203B0
RGB(2, 3, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.176.

Address
0.2.3.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.176

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 132,016 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 132016 first appears in π at position 509,892 of the decimal expansion (the 509,892ordinal-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