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132,689

132,689 is a prime, odd.

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.).

132,689 (one hundred thirty-two thousand six hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20651.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
2,592
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
986,231
Square (n²)
17,606,370,721
Cube (n³)
2,336,171,724,598,769
Divisor count
2
σ(n) — sum of divisors
132,690
φ(n) — Euler's totient
132,688

Primality

132,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,689)
1 × 132689
First multiples
132,689 · 265,378 (double) · 398,067 · 530,756 · 663,445 · 796,134 · 928,823 · 1,061,512 · 1,194,201 · 1,326,890

Sums & aliquot sequence

As a sum of two squares: 233² + 280²
As consecutive integers: 66,344 + 66,345

Continued fraction of √n

√132,689 = [364; (3, 1, 3, 2, 2, 2, 1, 2, 4, 3, 42, 1, 1, 5, 18, 31, 1, 1, 1, 1, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-two thousand six hundred eighty-nine
Ordinal
132689th
Binary
100000011001010001
Octal
403121
Hexadecimal
0x20651
Base64
AgZR
One's complement
4,294,834,606 (32-bit)
Scientific notation
1.32689 × 10⁵
As a duration
132,689 s = 1 day, 12 hours, 51 minutes, 29 seconds
In other bases
ternary (3) 20202000102
quaternary (4) 200121101
quinary (5) 13221224
senary (6) 2502145
septenary (7) 1061564
nonary (9) 222012
undecimal (11) 90767
duodecimal (12) 64955
tridecimal (13) 4851b
tetradecimal (14) 364db
pentadecimal (15) 294ae

As an angle

132,689° = 368 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχπθʹ
Mayan (base 20)
𝋰·𝋫·𝋮·𝋩
Chinese
一十三萬二千六百八十九
Chinese (financial)
壹拾參萬貳仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٢٦٨٩ Devanagari १३२६८९ Bengali ১৩২৬৮৯ Tamil ௧௩௨௬௮௯ Thai ๑๓๒๖๘๙ Tibetan ༡༣༢༦༨༩ Khmer ១៣២៦៨៩ Lao ໑໓໒໖໘໙ Burmese ၁၃၂၆၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠙑
CJK Unified Ideograph-20651
U+20651
Other letter (Lo)

UTF-8 encoding: F0 A0 99 91 (4 bytes).

Hex color
#020651
RGB(2, 6, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.81.

Address
0.2.6.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.81

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 132,689 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 132689 first appears in π at position 946,121 of the decimal expansion (the 946,121ordinal-suffix:st 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.