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132,696

132,696 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.).

132,696 (one hundred thirty-two thousand six hundred ninety-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 19 × 97. Its proper divisors sum to 249,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20658.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,944
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
696,231
Square (n²)
17,608,228,416
Cube (n³)
2,336,541,477,889,536
Divisor count
48
σ(n) — sum of divisors
382,200
φ(n) — Euler's totient
41,472
Sum of prime factors
128

Primality

Prime factorization: 2 3 × 3 2 × 19 × 97

Nearest primes: 132,689 (−7) · 132,697 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 36 · 38 · 57 · 72 · 76 · 97 · 114 · 152 · 171 · 194 · 228 · 291 · 342 · 388 · 456 · 582 · 684 · 776 · 873 · 1164 · 1368 · 1746 · 1843 · 2328 · 3492 · 3686 · 5529 · 6984 · 7372 · 11058 · 14744 · 16587 · 22116 · 33174 · 44232 · 66348 (half) · 132696
Aliquot sum (sum of proper divisors): 249,504
Factor pairs (a × b = 132,696)
1 × 132696
2 × 66348
3 × 44232
4 × 33174
6 × 22116
8 × 16587
9 × 14744
12 × 11058
18 × 7372
19 × 6984
24 × 5529
36 × 3686
38 × 3492
57 × 2328
72 × 1843
76 × 1746
97 × 1368
114 × 1164
152 × 873
171 × 776
194 × 684
228 × 582
291 × 456
342 × 388
First multiples
132,696 · 265,392 (double) · 398,088 · 530,784 · 663,480 · 796,176 · 928,872 · 1,061,568 · 1,194,264 · 1,326,960

Sums & aliquot sequence

As consecutive integers: 44,231 + 44,232 + 44,233 14,740 + 14,741 + … + 14,748 8,286 + 8,287 + … + 8,301 6,975 + 6,976 + … + 6,993
Aliquot sequence: 132,696 249,504 439,968 715,200 1,647,000 4,156,200 9,807,750 17,411,130 33,245,190 61,053,066 71,567,994 81,510,342 102,106,938 105,960,678 115,174,938 128,339,718 162,636,282 — unresolved within range

Continued fraction of √n

√132,696 = [364; (3, 1, 1, 1, 3, 1, 2, 1, 1, 1, 7, 29, 91, 29, 7, 1, 1, 1, 2, 1, 3, 1, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred ninety-six
Ordinal
132696th
Binary
100000011001011000
Octal
403130
Hexadecimal
0x20658
Base64
AgZY
One's complement
4,294,834,599 (32-bit)
Scientific notation
1.32696 × 10⁵
As a duration
132,696 s = 1 day, 12 hours, 51 minutes, 36 seconds
In other bases
ternary (3) 20202000200
quaternary (4) 200121120
quinary (5) 13221241
senary (6) 2502200
septenary (7) 1061604
nonary (9) 222020
undecimal (11) 90773
duodecimal (12) 64960
tridecimal (13) 48525
tetradecimal (14) 36504
pentadecimal (15) 294b6

As an angle

132,696° = 368 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχϟϛʹ
Mayan (base 20)
𝋰·𝋫·𝋮·𝋰
Chinese
一十三萬二千六百九十六
Chinese (financial)
壹拾參萬貳仟陸佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٢٦٩٦ Devanagari १३२६९६ Bengali ১৩২৬৯৬ Tamil ௧௩௨௬௯௬ Thai ๑๓๒๖๙๖ Tibetan ༡༣༢༦༩༦ Khmer ១៣២៦៩៦ Lao ໑໓໒໖໙໖ Burmese ၁၃၂၆၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132696, here are decompositions:

  • 7 + 132689 = 132696
  • 17 + 132679 = 132696
  • 29 + 132667 = 132696
  • 59 + 132637 = 132696
  • 73 + 132623 = 132696
  • 89 + 132607 = 132696
  • 107 + 132589 = 132696
  • 149 + 132547 = 132696

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙘
CJK Unified Ideograph-20658
U+20658
Other letter (Lo)

UTF-8 encoding: F0 A0 99 98 (4 bytes).

Hex color
#020658
RGB(2, 6, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.88.

Address
0.2.6.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.88

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 132,696 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°.