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132,616

132,616 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.).

132,616 (one hundred thirty-two thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 11² × 137. Its proper divisors sum to 142,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20608.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
616,231
Square (n²)
17,587,003,456
Cube (n³)
2,332,318,050,320,896
Divisor count
24
σ(n) — sum of divisors
275,310
φ(n) — Euler's totient
59,840
Sum of prime factors
165

Primality

Prime factorization: 2 3 × 11 2 × 137

Nearest primes: 132,611 (−5) · 132,619 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 121 · 137 · 242 · 274 · 484 · 548 · 968 · 1096 · 1507 · 3014 · 6028 · 12056 · 16577 · 33154 · 66308 (half) · 132616
Aliquot sum (sum of proper divisors): 142,694
Factor pairs (a × b = 132,616)
1 × 132616
2 × 66308
4 × 33154
8 × 16577
11 × 12056
22 × 6028
44 × 3014
88 × 1507
121 × 1096
137 × 968
242 × 548
274 × 484
First multiples
132,616 · 265,232 (double) · 397,848 · 530,464 · 663,080 · 795,696 · 928,312 · 1,060,928 · 1,193,544 · 1,326,160

Sums & aliquot sequence

As a sum of two squares: 154² + 330²
As consecutive integers: 12,051 + 12,052 + … + 12,061 8,281 + 8,282 + … + 8,296 1,036 + 1,037 + … + 1,156 900 + 901 + … + 1,036
Aliquot sequence: 132,616 142,694 71,350 61,454 30,730 32,630 30,874 16,646 13,594 9,734 5,434 4,646 2,698 1,622 814 554 280 — unresolved within range

Continued fraction of √n

√132,616 = [364; (6, 14, 1, 2, 3, 3, 3, 11, 1, 5, 9, 1, 17, 1, 3, 2, 2, 2, 2, 2, 1, 4, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand six hundred sixteen
Ordinal
132616th
Binary
100000011000001000
Octal
403010
Hexadecimal
0x20608
Base64
AgYI
One's complement
4,294,834,679 (32-bit)
Scientific notation
1.32616 × 10⁵
As a duration
132,616 s = 1 day, 12 hours, 50 minutes, 16 seconds
In other bases
ternary (3) 20201220201
quaternary (4) 200120020
quinary (5) 13220431
senary (6) 2501544
septenary (7) 1061431
nonary (9) 221821
undecimal (11) 90700
duodecimal (12) 648b4
tridecimal (13) 48493
tetradecimal (14) 36488
pentadecimal (15) 29461

As an angle

132,616° = 368 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχιϛʹ
Mayan (base 20)
𝋰·𝋫·𝋪·𝋰
Chinese
一十三萬二千六百一十六
Chinese (financial)
壹拾參萬貳仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٢٦١٦ Devanagari १३२६१६ Bengali ১৩২৬১৬ Tamil ௧௩௨௬௧௬ Thai ๑๓๒๖๑๖ Tibetan ༡༣༢༦༡༦ Khmer ១៣២៦១៦ Lao ໑໓໒໖໑໖ Burmese ၁၃၂၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132616, here are decompositions:

  • 5 + 132611 = 132616
  • 83 + 132533 = 132616
  • 89 + 132527 = 132616
  • 179 + 132437 = 132616
  • 233 + 132383 = 132616
  • 269 + 132347 = 132616
  • 317 + 132299 = 132616
  • 353 + 132263 = 132616

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘈
CJK Unified Ideograph-20608
U+20608
Other letter (Lo)

UTF-8 encoding: F0 A0 98 88 (4 bytes).

Hex color
#020608
RGB(2, 6, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.8.

Address
0.2.6.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.8

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 132,616 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 132616 first appears in π at position 902,324 of the decimal expansion (the 902,324ordinal-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