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132,964

132,964 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.).

132,964 (one hundred thirty-two thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,557. Written other ways, in hexadecimal, 0x20764.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,296
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
469,231
Square (n²)
17,679,425,296
Cube (n³)
2,350,727,105,057,344
Divisor count
12
σ(n) — sum of divisors
250,684
φ(n) — Euler's totient
61,344
Sum of prime factors
2,574

Primality

Prime factorization: 2 2 × 13 × 2557

Nearest primes: 132,961 (−3) · 132,967 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2557 · 5114 · 10228 · 33241 · 66482 (half) · 132964
Aliquot sum (sum of proper divisors): 117,720
Factor pairs (a × b = 132,964)
1 × 132964
2 × 66482
4 × 33241
13 × 10228
26 × 5114
52 × 2557
First multiples
132,964 · 265,928 (double) · 398,892 · 531,856 · 664,820 · 797,784 · 930,748 · 1,063,712 · 1,196,676 · 1,329,640

Sums & aliquot sequence

As a sum of two squares: 58² + 360² = 192² + 310²
As consecutive integers: 16,617 + 16,618 + … + 16,624 10,222 + 10,223 + … + 10,234 1,227 + 1,228 + … + 1,330
Aliquot sequence: 132,964 117,720 278,280 627,300 1,505,376 2,776,356 5,761,404 10,127,196 16,167,436 13,991,924 10,520,620 16,151,060 19,241,836 14,466,692 10,850,026 8,097,494 4,048,750 — unresolved within range

Continued fraction of √n

√132,964 = [364; (1, 1, 1, 3, 1, 8, 4, 1, 1, 2, 4, 6, 182, 6, 4, 2, 1, 1, 4, 8, 1, 3, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred sixty-four
Ordinal
132964th
Binary
100000011101100100
Octal
403544
Hexadecimal
0x20764
Base64
Agdk
One's complement
4,294,834,331 (32-bit)
Scientific notation
1.32964 × 10⁵
As a duration
132,964 s = 1 day, 12 hours, 56 minutes, 4 seconds
In other bases
ternary (3) 20202101121
quaternary (4) 200131210
quinary (5) 13223324
senary (6) 2503324
septenary (7) 1062436
nonary (9) 222347
undecimal (11) 90997
duodecimal (12) 64b44
tridecimal (13) 486a0
tetradecimal (14) 36656
pentadecimal (15) 295e4

As an angle

132,964° = 369 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡξδʹ
Mayan (base 20)
𝋰·𝋬·𝋨·𝋤
Chinese
一十三萬二千九百六十四
Chinese (financial)
壹拾參萬貳仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٩٦٤ Devanagari १३२९६४ Bengali ১৩২৯৬৪ Tamil ௧௩௨௯௬௪ Thai ๑๓๒๙๖๔ Tibetan ༡༣༢༩༦༤ Khmer ១៣២៩៦៤ Lao ໑໓໒໙໖໔ Burmese ၁၃၂၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132964, here are decompositions:

  • 3 + 132961 = 132964
  • 11 + 132953 = 132964
  • 17 + 132947 = 132964
  • 53 + 132911 = 132964
  • 71 + 132893 = 132964
  • 101 + 132863 = 132964
  • 107 + 132857 = 132964
  • 113 + 132851 = 132964

Showing the first eight; more decompositions exist.

Unicode codepoint
𠝤
CJK Unified Ideograph-20764
U+20764
Other letter (Lo)

UTF-8 encoding: F0 A0 9D A4 (4 bytes).

Hex color
#020764
RGB(2, 7, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.100.

Address
0.2.7.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.100

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 132,964 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 132964 first appears in π at position 248,965 of the decimal expansion (the 248,965ordinal-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