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132,678

132,678 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.).

132,678 (one hundred thirty-two thousand six hundred seventy-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2 × 3⁶ × 7 × 13. Its proper divisors sum to 234,570, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20646.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
876,231
Square (n²)
17,603,451,684
Cube (n³)
2,335,590,762,529,752
Divisor count
56
σ(n) — sum of divisors
367,248
φ(n) — Euler's totient
34,992
Sum of prime factors
40

Primality

Prime factorization: 2 × 3 6 × 7 × 13

Nearest primes: 132,667 (−11) · 132,679 (+1)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 6 · 7 · 9 · 13 · 14 · 18 · 21 · 26 · 27 · 39 · 42 · 54 · 63 · 78 · 81 · 91 · 117 · 126 · 162 · 182 · 189 · 234 · 243 · 273 · 351 · 378 · 486 · 546 · 567 · 702 · 729 · 819 · 1053 · 1134 · 1458 · 1638 · 1701 · 2106 · 2457 · 3159 · 3402 · 4914 · 5103 · 6318 · 7371 · 9477 · 10206 · 14742 · 18954 · 22113 · 44226 · 66339 (half) · 132678
Aliquot sum (sum of proper divisors): 234,570
Factor pairs (a × b = 132,678)
1 × 132678
2 × 66339
3 × 44226
6 × 22113
7 × 18954
9 × 14742
13 × 10206
14 × 9477
18 × 7371
21 × 6318
26 × 5103
27 × 4914
39 × 3402
42 × 3159
54 × 2457
63 × 2106
78 × 1701
81 × 1638
91 × 1458
117 × 1134
126 × 1053
162 × 819
182 × 729
189 × 702
234 × 567
243 × 546
273 × 486
351 × 378
First multiples
132,678 · 265,356 (double) · 398,034 · 530,712 · 663,390 · 796,068 · 928,746 · 1,061,424 · 1,194,102 · 1,326,780

Sums & aliquot sequence

As a sum of two cubes: 3³ + 51³
As consecutive integers: 44,225 + 44,226 + 44,227 33,168 + 33,169 + 33,170 + 33,171 18,951 + 18,952 + … + 18,957 14,738 + 14,739 + … + 14,746
Aliquot sequence: 132,678 234,570 409,398 483,978 572,118 672,042 864,150 1,588,074 1,640,886 1,944,234 2,268,312 3,402,528 6,073,680 12,755,472 20,196,288 45,975,792 73,480,848 — unresolved within range

Continued fraction of √n

√132,678 = [364; (4, 728)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred seventy-eight
Ordinal
132678th
Binary
100000011001000110
Octal
403106
Hexadecimal
0x20646
Base64
AgZG
One's complement
4,294,834,617 (32-bit)
Scientific notation
1.32678 × 10⁵
As a duration
132,678 s = 1 day, 12 hours, 51 minutes, 18 seconds
In other bases
ternary (3) 20202000000
quaternary (4) 200121012
quinary (5) 13221203
senary (6) 2502130
septenary (7) 1061550
nonary (9) 222000
undecimal (11) 90757
duodecimal (12) 64946
tridecimal (13) 48510
tetradecimal (14) 364d0
pentadecimal (15) 294a3
Palindromic in base 12

As an angle

132,678° = 368 × 360° + 198°
198° ≈ 3.456 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχοηʹ
Mayan (base 20)
𝋰·𝋫·𝋭·𝋲
Chinese
一十三萬二千六百七十八
Chinese (financial)
壹拾參萬貳仟陸佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٢٦٧٨ Devanagari १३२६७८ Bengali ১৩২৬৭৮ Tamil ௧௩௨௬௭௮ Thai ๑๓๒๖๗๘ Tibetan ༡༣༢༦༧༨ Khmer ១៣២៦៧៨ Lao ໑໓໒໖໗໘ Burmese ၁၃၂၆၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132678, here are decompositions:

  • 11 + 132667 = 132678
  • 17 + 132661 = 132678
  • 31 + 132647 = 132678
  • 41 + 132637 = 132678
  • 47 + 132631 = 132678
  • 59 + 132619 = 132678
  • 67 + 132611 = 132678
  • 71 + 132607 = 132678

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙆
CJK Unified Ideograph-20646
U+20646
Other letter (Lo)

UTF-8 encoding: F0 A0 99 86 (4 bytes).

Hex color
#020646
RGB(2, 6, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.70.

Address
0.2.6.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.70

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 132,678 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°.