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132,216

132,216 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.).

132,216 (one hundred thirty-two thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 787. Its proper divisors sum to 246,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20478.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
72
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
612,231
Recamán's sequence
a(227,940) = 132,216
Square (n²)
17,481,070,656
Cube (n³)
2,311,277,237,853,696
Divisor count
32
σ(n) — sum of divisors
378,240
φ(n) — Euler's totient
37,728
Sum of prime factors
803

Primality

Prime factorization: 2 3 × 3 × 7 × 787

Nearest primes: 132,199 (−17) · 132,229 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 787 · 1574 · 2361 · 3148 · 4722 · 5509 · 6296 · 9444 · 11018 · 16527 · 18888 · 22036 · 33054 · 44072 · 66108 (half) · 132216
Aliquot sum (sum of proper divisors): 246,024
Factor pairs (a × b = 132,216)
1 × 132216
2 × 66108
3 × 44072
4 × 33054
6 × 22036
7 × 18888
8 × 16527
12 × 11018
14 × 9444
21 × 6296
24 × 5509
28 × 4722
42 × 3148
56 × 2361
84 × 1574
168 × 787
First multiples
132,216 · 264,432 (double) · 396,648 · 528,864 · 661,080 · 793,296 · 925,512 · 1,057,728 · 1,189,944 · 1,322,160

Sums & aliquot sequence

As consecutive integers: 44,071 + 44,072 + 44,073 18,885 + 18,886 + … + 18,891 8,256 + 8,257 + … + 8,271 6,286 + 6,287 + … + 6,306
Aliquot sequence: 132,216 246,024 488,376 1,239,624 2,234,286 3,007,314 3,675,726 4,687,794 6,376,446 7,439,226 7,466,502 8,583,162 11,035,590 15,449,898 15,449,910 26,927,562 27,211,830 — unresolved within range

Continued fraction of √n

√132,216 = [363; (1, 1, 1, 1, 2, 28, 1, 2, 2, 1, 1, 2, 7, 1, 35, 2, 12, 2, 35, 1, 7, 2, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred sixteen
Ordinal
132216th
Binary
100000010001111000
Octal
402170
Hexadecimal
0x20478
Base64
AgR4
One's complement
4,294,835,079 (32-bit)
Scientific notation
1.32216 × 10⁵
As a duration
132,216 s = 1 day, 12 hours, 43 minutes, 36 seconds
In other bases
ternary (3) 20201100220
quaternary (4) 200101320
quinary (5) 13212331
senary (6) 2500040
septenary (7) 1060320
nonary (9) 221326
undecimal (11) 90377
duodecimal (12) 64620
tridecimal (13) 48246
tetradecimal (14) 36280
pentadecimal (15) 29296

As an angle

132,216° = 367 × 360° + 96°
96° ≈ 1.676 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσιϛʹ
Mayan (base 20)
𝋰·𝋪·𝋪·𝋰
Chinese
一十三萬二千二百一十六
Chinese (financial)
壹拾參萬貳仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٢٢١٦ Devanagari १३२२१६ Bengali ১৩২২১৬ Tamil ௧௩௨௨௧௬ Thai ๑๓๒๒๑๖ Tibetan ༡༣༢༢༡༦ Khmer ១៣២២១៦ Lao ໑໓໒໒໑໖ Burmese ၁၃၂၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132216, here are decompositions:

  • 17 + 132199 = 132216
  • 43 + 132173 = 132216
  • 47 + 132169 = 132216
  • 59 + 132157 = 132216
  • 79 + 132137 = 132216
  • 103 + 132113 = 132216
  • 107 + 132109 = 132216
  • 113 + 132103 = 132216

Showing the first eight; more decompositions exist.

Unicode codepoint
𠑸
CJK Unified Ideograph-20478
U+20478
Other letter (Lo)

UTF-8 encoding: F0 A0 91 B8 (4 bytes).

Hex color
#020478
RGB(2, 4, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.120.

Address
0.2.4.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.120

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 132,216 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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