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132,816

132,816 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.).

132,816 (one hundred thirty-two thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,767. Its proper divisors sum to 210,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206D0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
618,231
Square (n²)
17,640,089,856
Cube (n³)
2,342,886,174,314,496
Divisor count
20
σ(n) — sum of divisors
343,232
φ(n) — Euler's totient
44,256
Sum of prime factors
2,778

Primality

Prime factorization: 2 4 × 3 × 2767

Nearest primes: 132,763 (−53) · 132,817 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2767 · 5534 · 8301 · 11068 · 16602 · 22136 · 33204 · 44272 · 66408 (half) · 132816
Aliquot sum (sum of proper divisors): 210,416
Factor pairs (a × b = 132,816)
1 × 132816
2 × 66408
3 × 44272
4 × 33204
6 × 22136
8 × 16602
12 × 11068
16 × 8301
24 × 5534
48 × 2767
First multiples
132,816 · 265,632 (double) · 398,448 · 531,264 · 664,080 · 796,896 · 929,712 · 1,062,528 · 1,195,344 · 1,328,160

Sums & aliquot sequence

As consecutive integers: 44,271 + 44,272 + 44,273 4,135 + 4,136 + … + 4,166 1,336 + 1,337 + … + 1,431
Aliquot sequence: 132,816 210,416 197,296 249,104 233,566 128,954 97,222 48,614 25,306 12,656 15,616 16,066 8,954 6,208 6,238 3,122 2,254 — unresolved within range

Continued fraction of √n

√132,816 = [364; (2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 1, 2, 1, 28, 2, 2, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand eight hundred sixteen
Ordinal
132816th
Binary
100000011011010000
Octal
403320
Hexadecimal
0x206D0
Base64
AgbQ
One's complement
4,294,834,479 (32-bit)
Scientific notation
1.32816 × 10⁵
As a duration
132,816 s = 1 day, 12 hours, 53 minutes, 36 seconds
In other bases
ternary (3) 20202012010
quaternary (4) 200123100
quinary (5) 13222231
senary (6) 2502520
septenary (7) 1062135
nonary (9) 222163
undecimal (11) 90872
duodecimal (12) 64a40
tridecimal (13) 485b8
tetradecimal (14) 3658c
pentadecimal (15) 29546
Palindromic in base 5

As an angle

132,816° = 368 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβωιϛʹ
Mayan (base 20)
𝋰·𝋬·𝋠·𝋰
Chinese
一十三萬二千八百一十六
Chinese (financial)
壹拾參萬貳仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٢٨١٦ Devanagari १३२८१६ Bengali ১৩২৮১৬ Tamil ௧௩௨௮௧௬ Thai ๑๓๒๘๑๖ Tibetan ༡༣༢༨༡༦ Khmer ១៣២៨១៦ Lao ໑໓໒໘໑໖ Burmese ၁၃၂၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132816, here are decompositions:

  • 53 + 132763 = 132816
  • 59 + 132757 = 132816
  • 67 + 132749 = 132816
  • 107 + 132709 = 132816
  • 109 + 132707 = 132816
  • 127 + 132689 = 132816
  • 137 + 132679 = 132816
  • 149 + 132667 = 132816

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛐
CJK Unified Ideograph-206D0
U+206D0
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 90 (4 bytes).

Hex color
#0206D0
RGB(2, 6, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.208.

Address
0.2.6.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.208

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 132,816 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 132816 first appears in π at position 81,568 of the decimal expansion (the 81,568ordinal-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°.