number.wiki
Live analysis

132,788

132,788 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.).

132,788 (one hundred thirty-two thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 89 × 373. Written other ways, in hexadecimal, 0x206B4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,688
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
887,231
Square (n²)
17,632,652,944
Cube (n³)
2,341,404,719,127,872
Divisor count
12
σ(n) — sum of divisors
235,620
φ(n) — Euler's totient
65,472
Sum of prime factors
466

Primality

Prime factorization: 2 2 × 89 × 373

Nearest primes: 132,763 (−25) · 132,817 (+29)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 89 · 178 · 356 · 373 · 746 · 1492 · 33197 · 66394 (half) · 132788
Aliquot sum (sum of proper divisors): 102,832
Factor pairs (a × b = 132,788)
1 × 132788
2 × 66394
4 × 33197
89 × 1492
178 × 746
356 × 373
First multiples
132,788 · 265,576 (double) · 398,364 · 531,152 · 663,940 · 796,728 · 929,516 · 1,062,304 · 1,195,092 · 1,327,880

Sums & aliquot sequence

As a sum of two squares: 68² + 358² = 218² + 292²
As consecutive integers: 16,595 + 16,596 + … + 16,602 1,448 + 1,449 + … + 1,536 170 + 171 + … + 542
Aliquot sequence: 132,788 102,832 96,436 72,334 38,186 20,218 12,902 6,454 4,634 3,334 1,670 1,354 680 940 1,076 814 554 — unresolved within range

Continued fraction of √n

√132,788 = [364; (2, 2, 45, 6, 1, 1, 1, 44, 1, 9, 182, 9, 1, 44, 1, 1, 1, 6, 45, 2, 2, 728)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred eighty-eight
Ordinal
132788th
Binary
100000011010110100
Octal
403264
Hexadecimal
0x206B4
Base64
Aga0
One's complement
4,294,834,507 (32-bit)
Scientific notation
1.32788 × 10⁵
As a duration
132,788 s = 1 day, 12 hours, 53 minutes, 8 seconds
In other bases
ternary (3) 20202011002
quaternary (4) 200122310
quinary (5) 13222123
senary (6) 2502432
septenary (7) 1062065
nonary (9) 222132
undecimal (11) 90847
duodecimal (12) 64a18
tridecimal (13) 48596
tetradecimal (14) 3656c
pentadecimal (15) 29528

As an angle

132,788° = 368 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψπηʹ
Mayan (base 20)
𝋰·𝋫·𝋳·𝋨
Chinese
一十三萬二千七百八十八
Chinese (financial)
壹拾參萬貳仟柒佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٢٧٨٨ Devanagari १३२७८८ Bengali ১৩২৭৮৮ Tamil ௧௩௨௭௮௮ Thai ๑๓๒๗๘๘ Tibetan ༡༣༢༧༨༨ Khmer ១៣២៧៨៨ Lao ໑໓໒໗໘໘ Burmese ၁၃၂၇၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132788, here are decompositions:

  • 31 + 132757 = 132788
  • 37 + 132751 = 132788
  • 67 + 132721 = 132788
  • 79 + 132709 = 132788
  • 109 + 132679 = 132788
  • 127 + 132661 = 132788
  • 151 + 132637 = 132788
  • 157 + 132631 = 132788

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚴
CJK Unified Ideograph-206B4
U+206B4
Other letter (Lo)

UTF-8 encoding: F0 A0 9A B4 (4 bytes).

Hex color
#0206B4
RGB(2, 6, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.180.

Address
0.2.6.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.180

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 132,788 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 132788 first appears in π at position 721,981 of the decimal expansion (the 721,981ordinal-suffix:st 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.