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132,608

132,608 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.).

132,608 (one hundred thirty-two thousand six hundred eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 7 × 37. Its proper divisors sum to 178,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20600.

Abundant Number Frugal Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
806,231
Square (n²)
17,584,881,664
Cube (n³)
2,331,895,987,699,712
Divisor count
40
σ(n) — sum of divisors
310,992
φ(n) — Euler's totient
55,296
Sum of prime factors
62

Primality

Prime factorization: 2 9 × 7 × 37

Nearest primes: 132,607 (−1) · 132,611 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 37 · 56 · 64 · 74 · 112 · 128 · 148 · 224 · 256 · 259 · 296 · 448 · 512 · 518 · 592 · 896 · 1036 · 1184 · 1792 · 2072 · 2368 · 3584 · 4144 · 4736 · 8288 · 9472 · 16576 · 18944 · 33152 · 66304 (half) · 132608
Aliquot sum (sum of proper divisors): 178,384
Factor pairs (a × b = 132,608)
1 × 132608
2 × 66304
4 × 33152
7 × 18944
8 × 16576
14 × 9472
16 × 8288
28 × 4736
32 × 4144
37 × 3584
56 × 2368
64 × 2072
74 × 1792
112 × 1184
128 × 1036
148 × 896
224 × 592
256 × 518
259 × 512
296 × 448
First multiples
132,608 · 265,216 (double) · 397,824 · 530,432 · 663,040 · 795,648 · 928,256 · 1,060,864 · 1,193,472 · 1,326,080

Sums & aliquot sequence

As consecutive integers: 18,941 + 18,942 + … + 18,947 3,566 + 3,567 + … + 3,602 383 + 384 + … + 641
Aliquot sequence: 132,608 178,384 167,266 106,478 53,242 38,054 20,266 10,136 11,704 17,096 14,974 7,490 8,062 4,538 2,272 2,264 1,996 — unresolved within range

Continued fraction of √n

√132,608 = [364; (6, 1, 1, 181, 1, 1, 6, 728)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred eight
Ordinal
132608th
Binary
100000011000000000
Octal
403000
Hexadecimal
0x20600
Base64
AgYA
One's complement
4,294,834,687 (32-bit)
Scientific notation
1.32608 × 10⁵
As a duration
132,608 s = 1 day, 12 hours, 50 minutes, 8 seconds
In other bases
ternary (3) 20201220102
quaternary (4) 200120000
quinary (5) 13220413
senary (6) 2501532
septenary (7) 1061420
nonary (9) 221812
undecimal (11) 906a3
duodecimal (12) 648a8
tridecimal (13) 48488
tetradecimal (14) 36480
pentadecimal (15) 29458

As an angle

132,608° = 368 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχηʹ
Mayan (base 20)
𝋰·𝋫·𝋪·𝋨
Chinese
一十三萬二千六百零八
Chinese (financial)
壹拾參萬貳仟陸佰零捌
In other modern scripts
Eastern Arabic ١٣٢٦٠٨ Devanagari १३२६०८ Bengali ১৩২৬০৮ Tamil ௧௩௨௬௦௮ Thai ๑๓๒๖๐๘ Tibetan ༡༣༢༦༠༨ Khmer ១៣២៦០៨ Lao ໑໓໒໖໐໘ Burmese ၁၃၂၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132608, here are decompositions:

  • 19 + 132589 = 132608
  • 61 + 132547 = 132608
  • 67 + 132541 = 132608
  • 79 + 132529 = 132608
  • 97 + 132511 = 132608
  • 109 + 132499 = 132608
  • 139 + 132469 = 132608
  • 199 + 132409 = 132608

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘀
CJK Unified Ideograph-20600
U+20600
Other letter (Lo)

UTF-8 encoding: F0 A0 98 80 (4 bytes).

Hex color
#020600
RGB(2, 6, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.0.

Address
0.2.6.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.0

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 132,608 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.