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132,800

132,800 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.).

132,800 (one hundred thirty-two thousand eight hundred) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 5² × 83. Its proper divisors sum to 197,908, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206C0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
8,231
Square (n²)
17,635,840,000
Cube (n³)
2,342,039,552,000,000
Divisor count
42
σ(n) — sum of divisors
330,708
φ(n) — Euler's totient
52,480
Sum of prime factors
105

Primality

Prime factorization: 2 6 × 5 2 × 83

Nearest primes: 132,763 (−37) · 132,817 (+17)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 83 · 100 · 160 · 166 · 200 · 320 · 332 · 400 · 415 · 664 · 800 · 830 · 1328 · 1600 · 1660 · 2075 · 2656 · 3320 · 4150 · 5312 · 6640 · 8300 · 13280 · 16600 · 26560 · 33200 · 66400 (half) · 132800
Aliquot sum (sum of proper divisors): 197,908
Factor pairs (a × b = 132,800)
1 × 132800
2 × 66400
4 × 33200
5 × 26560
8 × 16600
10 × 13280
16 × 8300
20 × 6640
25 × 5312
32 × 4150
40 × 3320
50 × 2656
64 × 2075
80 × 1660
83 × 1600
100 × 1328
160 × 830
166 × 800
200 × 664
320 × 415
332 × 400
First multiples
132,800 · 265,600 (double) · 398,400 · 531,200 · 664,000 · 796,800 · 929,600 · 1,062,400 · 1,195,200 · 1,328,000

Sums & aliquot sequence

As consecutive integers: 26,558 + 26,559 + 26,560 + 26,561 + 26,562 5,300 + 5,301 + … + 5,324 1,559 + 1,560 + … + 1,641 974 + 975 + … + 1,101
Aliquot sequence: 132,800 197,908 148,438 74,222 48,898 27,710 25,426 12,716 13,072 14,208 24,552 50,328 90,072 164,028 218,732 167,668 128,684 — unresolved within range

Continued fraction of √n

√132,800 = [364; (2, 2, 1, 1, 9, 1, 2, 6, 1, 16, 1, 10, 2, 3, 1, 28, 2, 1, 1, 1, 8, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred
Ordinal
132800th
Binary
100000011011000000
Octal
403300
Hexadecimal
0x206C0
Base64
AgbA
One's complement
4,294,834,495 (32-bit)
Scientific notation
1.328 × 10⁵
As a duration
132,800 s = 1 day, 12 hours, 53 minutes, 20 seconds
In other bases
ternary (3) 20202011112
quaternary (4) 200123000
quinary (5) 13222200
senary (6) 2502452
septenary (7) 1062113
nonary (9) 222145
undecimal (11) 90858
duodecimal (12) 64a28
tridecimal (13) 485a5
tetradecimal (14) 3657a
pentadecimal (15) 29535

As an angle

132,800° = 368 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλβωʹ
Mayan (base 20)
𝋰·𝋬·𝋠·𝋠
Chinese
一十三萬二千八百
Chinese (financial)
壹拾參萬貳仟捌佰
In other modern scripts
Eastern Arabic ١٣٢٨٠٠ Devanagari १३२८०० Bengali ১৩২৮০০ Tamil ௧௩௨௮௦௦ Thai ๑๓๒๘๐๐ Tibetan ༡༣༢༨༠༠ Khmer ១៣២៨០០ Lao ໑໓໒໘໐໐ Burmese ၁၃၂၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132800, here are decompositions:

  • 37 + 132763 = 132800
  • 43 + 132757 = 132800
  • 61 + 132739 = 132800
  • 79 + 132721 = 132800
  • 103 + 132697 = 132800
  • 139 + 132661 = 132800
  • 163 + 132637 = 132800
  • 181 + 132619 = 132800

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛀
CJK Unified Ideograph-206C0
U+206C0
Other letter (Lo)

UTF-8 encoding: F0 A0 9B 80 (4 bytes).

Hex color
#0206C0
RGB(2, 6, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.192.

Address
0.2.6.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.192

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 132,800 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 132800 first appears in π at position 48,605 of the decimal expansion (the 48,605ordinal-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.