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132,272

132,272 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.).

132,272 (one hundred thirty-two thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,181. Its proper divisors sum to 160,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204B0.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
272,231
Recamán's sequence
a(227,828) = 132,272
Square (n²)
17,495,881,984
Cube (n³)
2,314,215,301,787,648
Divisor count
20
σ(n) — sum of divisors
293,136
φ(n) — Euler's totient
56,640
Sum of prime factors
1,196

Primality

Prime factorization: 2 4 × 7 × 1181

Nearest primes: 132,263 (−9) · 132,283 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1181 · 2362 · 4724 · 8267 · 9448 · 16534 · 18896 · 33068 · 66136 (half) · 132272
Aliquot sum (sum of proper divisors): 160,864
Factor pairs (a × b = 132,272)
1 × 132272
2 × 66136
4 × 33068
7 × 18896
8 × 16534
14 × 9448
16 × 8267
28 × 4724
56 × 2362
112 × 1181
First multiples
132,272 · 264,544 (double) · 396,816 · 529,088 · 661,360 · 793,632 · 925,904 · 1,058,176 · 1,190,448 · 1,322,720

Sums & aliquot sequence

As consecutive integers: 18,893 + 18,894 + … + 18,899 4,118 + 4,119 + … + 4,149 479 + 480 + … + 702
Aliquot sequence: 132,272 160,864 185,384 162,226 89,594 44,800 81,928 123,272 120,328 126,722 63,364 69,244 69,300 201,516 336,084 560,364 962,220 — unresolved within range

Continued fraction of √n

√132,272 = [363; (1, 2, 4, 45, 4, 2, 1, 726)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred seventy-two
Ordinal
132272nd
Binary
100000010010110000
Octal
402260
Hexadecimal
0x204B0
Base64
AgSw
One's complement
4,294,835,023 (32-bit)
Scientific notation
1.32272 × 10⁵
As a duration
132,272 s = 1 day, 12 hours, 44 minutes, 32 seconds
In other bases
ternary (3) 20201102222
quaternary (4) 200102300
quinary (5) 13213042
senary (6) 2500212
septenary (7) 1060430
nonary (9) 221388
undecimal (11) 90418
duodecimal (12) 64668
tridecimal (13) 4828a
tetradecimal (14) 362c0
pentadecimal (15) 292d2

As an angle

132,272° = 367 × 360° + 152°
152° ≈ 2.653 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβσοβʹ
Mayan (base 20)
𝋰·𝋪·𝋭·𝋬
Chinese
一十三萬二千二百七十二
Chinese (financial)
壹拾參萬貳仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٢٢٧٢ Devanagari १३२२७२ Bengali ১৩২২৭২ Tamil ௧௩௨௨௭௨ Thai ๑๓๒๒๗๒ Tibetan ༡༣༢༢༧༢ Khmer ១៣២២៧២ Lao ໑໓໒໒໗໒ Burmese ၁၃၂၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132272, here are decompositions:

  • 31 + 132241 = 132272
  • 43 + 132229 = 132272
  • 73 + 132199 = 132272
  • 103 + 132169 = 132272
  • 163 + 132109 = 132272
  • 223 + 132049 = 132272
  • 271 + 132001 = 132272
  • 313 + 131959 = 132272

Showing the first eight; more decompositions exist.

Unicode codepoint
𠒰
CJK Unified Ideograph-204B0
U+204B0
Other letter (Lo)

UTF-8 encoding: F0 A0 92 B0 (4 bytes).

Hex color
#0204B0
RGB(2, 4, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.176.

Address
0.2.4.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.176

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 132,272 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 132272 first appears in π at position 598,853 of the decimal expansion (the 598,853ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.