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132,642

132,642 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.).

132,642 (one hundred thirty-two thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 7,369. Its proper divisors sum to 154,788, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20622.

Abundant Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
288
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
246,231
Square (n²)
17,593,900,164
Cube (n³)
2,333,690,105,553,288
Divisor count
12
σ(n) — sum of divisors
287,430
φ(n) — Euler's totient
44,208
Sum of prime factors
7,377

Primality

Prime factorization: 2 × 3 2 × 7369

Nearest primes: 132,637 (−5) · 132,647 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 7369 · 14738 · 22107 · 44214 · 66321 (half) · 132642
Aliquot sum (sum of proper divisors): 154,788
Factor pairs (a × b = 132,642)
1 × 132642
2 × 66321
3 × 44214
6 × 22107
9 × 14738
18 × 7369
First multiples
132,642 · 265,284 (double) · 397,926 · 530,568 · 663,210 · 795,852 · 928,494 · 1,061,136 · 1,193,778 · 1,326,420

Sums & aliquot sequence

As a sum of two squares: 219² + 291²
As consecutive integers: 44,213 + 44,214 + 44,215 33,159 + 33,160 + 33,161 + 33,162 14,734 + 14,735 + … + 14,742 11,048 + 11,049 + … + 11,059
Aliquot sequence: 132,642 154,788 206,412 282,804 377,100 807,720 1,680,600 3,531,120 7,416,096 12,358,848 20,925,312 34,658,568 72,619,512 152,158,728 228,238,152 361,273,848 611,387,352 — unresolved within range

Continued fraction of √n

√132,642 = [364; (4, 1, 80, 7, 2, 80, 2, 7, 80, 1, 4, 728)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred forty-two
Ordinal
132642nd
Binary
100000011000100010
Octal
403042
Hexadecimal
0x20622
Base64
AgYi
One's complement
4,294,834,653 (32-bit)
Scientific notation
1.32642 × 10⁵
As a duration
132,642 s = 1 day, 12 hours, 50 minutes, 42 seconds
In other bases
ternary (3) 20201221200
quaternary (4) 200120202
quinary (5) 13221032
senary (6) 2502030
septenary (7) 1061466
nonary (9) 221850
undecimal (11) 90724
duodecimal (12) 64916
tridecimal (13) 484b3
tetradecimal (14) 364a6
pentadecimal (15) 2947c

As an angle

132,642° = 368 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβχμβʹ
Mayan (base 20)
𝋰·𝋫·𝋬·𝋢
Chinese
一十三萬二千六百四十二
Chinese (financial)
壹拾參萬貳仟陸佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٢٦٤٢ Devanagari १३२६४२ Bengali ১৩২৬৪২ Tamil ௧௩௨௬௪௨ Thai ๑๓๒๖๔๒ Tibetan ༡༣༢༦༤༢ Khmer ១៣២៦៤២ Lao ໑໓໒໖໔໒ Burmese ၁၃၂၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132642, here are decompositions:

  • 5 + 132637 = 132642
  • 11 + 132631 = 132642
  • 19 + 132623 = 132642
  • 23 + 132619 = 132642
  • 31 + 132611 = 132642
  • 53 + 132589 = 132642
  • 101 + 132541 = 132642
  • 109 + 132533 = 132642

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘢
CJK Unified Ideograph-20622
U+20622
Other letter (Lo)

UTF-8 encoding: F0 A0 98 A2 (4 bytes).

Hex color
#020622
RGB(2, 6, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.34.

Address
0.2.6.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.34

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 132,642 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 132642 first appears in π at position 565,387 of the decimal expansion (the 565,387ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.