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132,916

132,916 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.).

132,916 (one hundred thirty-two thousand nine hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 47 × 101. Its proper divisors sum to 141,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20734.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
324
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
619,231
Square (n²)
17,666,663,056
Cube (n³)
2,348,182,186,751,296
Divisor count
24
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
55,200
Sum of prime factors
159

Primality

Prime factorization: 2 2 × 7 × 47 × 101

Nearest primes: 132,911 (−5) · 132,929 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 47 · 94 · 101 · 188 · 202 · 329 · 404 · 658 · 707 · 1316 · 1414 · 2828 · 4747 · 9494 · 18988 · 33229 · 66458 (half) · 132916
Aliquot sum (sum of proper divisors): 141,260
Factor pairs (a × b = 132,916)
1 × 132916
2 × 66458
4 × 33229
7 × 18988
14 × 9494
28 × 4747
47 × 2828
94 × 1414
101 × 1316
188 × 707
202 × 658
329 × 404
First multiples
132,916 · 265,832 (double) · 398,748 · 531,664 · 664,580 · 797,496 · 930,412 · 1,063,328 · 1,196,244 · 1,329,160

Sums & aliquot sequence

As consecutive integers: 18,985 + 18,986 + … + 18,991 16,611 + 16,612 + … + 16,618 2,805 + 2,806 + … + 2,851 2,346 + 2,347 + … + 2,401
Aliquot sequence: 132,916 141,260 198,100 294,924 491,764 591,920 1,019,584 1,037,816 1,184,824 1,113,776 1,063,168 1,059,526 652,058 428,806 315,674 157,840 209,324 — unresolved within range

Continued fraction of √n

√132,916 = [364; (1, 1, 2, 1, 3, 2, 1, 34, 36, 2, 3, 80, 1, 2, 1, 2, 2, 28, 1, 2, 1, 8, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred sixteen
Ordinal
132916th
Binary
100000011100110100
Octal
403464
Hexadecimal
0x20734
Base64
Agc0
One's complement
4,294,834,379 (32-bit)
Scientific notation
1.32916 × 10⁵
As a duration
132,916 s = 1 day, 12 hours, 55 minutes, 16 seconds
In other bases
ternary (3) 20202022211
quaternary (4) 200130310
quinary (5) 13223131
senary (6) 2503204
septenary (7) 1062340
nonary (9) 222284
undecimal (11) 90953
duodecimal (12) 64b04
tridecimal (13) 48664
tetradecimal (14) 36620
pentadecimal (15) 295b1

As an angle

132,916° = 369 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡιϛʹ
Mayan (base 20)
𝋰·𝋬·𝋥·𝋰
Chinese
一十三萬二千九百一十六
Chinese (financial)
壹拾參萬貳仟玖佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٢٩١٦ Devanagari १३२९१६ Bengali ১৩২৯১৬ Tamil ௧௩௨௯௧௬ Thai ๑๓๒๙๑๖ Tibetan ༡༣༢༩༡༦ Khmer ១៣២៩១៦ Lao ໑໓໒໙໑໖ Burmese ၁၃၂၉၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132916, here are decompositions:

  • 5 + 132911 = 132916
  • 23 + 132893 = 132916
  • 29 + 132887 = 132916
  • 53 + 132863 = 132916
  • 59 + 132857 = 132916
  • 83 + 132833 = 132916
  • 167 + 132749 = 132916
  • 227 + 132689 = 132916

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜴
CJK Unified Ideograph-20734
U+20734
Other letter (Lo)

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

Hex color
#020734
RGB(2, 7, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.52.

Address
0.2.7.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.52

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 132,916 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 132916 first appears in π at position 330,425 of the decimal expansion (the 330,425ordinal-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