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132,264

132,264 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.).

132,264 (one hundred thirty-two thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 11 × 167. Its proper divisors sum to 260,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204A8.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence 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
462,231
Recamán's sequence
a(227,844) = 132,264
Square (n²)
17,493,765,696
Cube (n³)
2,313,795,426,015,744
Divisor count
48
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
39,840
Sum of prime factors
190

Primality

Prime factorization: 2 3 × 3 2 × 11 × 167

Nearest primes: 132,263 (−1) · 132,283 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 33 · 36 · 44 · 66 · 72 · 88 · 99 · 132 · 167 · 198 · 264 · 334 · 396 · 501 · 668 · 792 · 1002 · 1336 · 1503 · 1837 · 2004 · 3006 · 3674 · 4008 · 5511 · 6012 · 7348 · 11022 · 12024 · 14696 · 16533 · 22044 · 33066 · 44088 · 66132 (half) · 132264
Aliquot sum (sum of proper divisors): 260,856
Factor pairs (a × b = 132,264)
1 × 132264
2 × 66132
3 × 44088
4 × 33066
6 × 22044
8 × 16533
9 × 14696
11 × 12024
12 × 11022
18 × 7348
22 × 6012
24 × 5511
33 × 4008
36 × 3674
44 × 3006
66 × 2004
72 × 1837
88 × 1503
99 × 1336
132 × 1002
167 × 792
198 × 668
264 × 501
334 × 396
First multiples
132,264 · 264,528 (double) · 396,792 · 529,056 · 661,320 · 793,584 · 925,848 · 1,058,112 · 1,190,376 · 1,322,640

Sums & aliquot sequence

As consecutive integers: 44,087 + 44,088 + 44,089 14,692 + 14,693 + … + 14,700 12,019 + 12,020 + … + 12,029 8,259 + 8,260 + … + 8,274
Aliquot sequence: 132,264 260,856 445,824 911,796 1,215,756 1,936,484 1,789,378 894,692 704,668 540,212 437,968 438,960 989,520 2,819,760 6,227,280 16,121,178 20,360,358 — unresolved within range

Continued fraction of √n

√132,264 = [363; (1, 2, 7, 3, 10, 2, 1, 1, 1, 5, 4, 5, 1, 1, 1, 2, 10, 3, 7, 2, 1, 726)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand two hundred sixty-four
Ordinal
132264th
Binary
100000010010101000
Octal
402250
Hexadecimal
0x204A8
Base64
AgSo
One's complement
4,294,835,031 (32-bit)
Scientific notation
1.32264 × 10⁵
As a duration
132,264 s = 1 day, 12 hours, 44 minutes, 24 seconds
In other bases
ternary (3) 20201102200
quaternary (4) 200102220
quinary (5) 13213024
senary (6) 2500200
septenary (7) 1060416
nonary (9) 221380
undecimal (11) 90410
duodecimal (12) 64660
tridecimal (13) 48282
tetradecimal (14) 362b6
pentadecimal (15) 292c9

As an angle

132,264° = 367 × 360° + 144°
144° ≈ 2.513 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβσξδʹ
Mayan (base 20)
𝋰·𝋪·𝋭·𝋤
Chinese
一十三萬二千二百六十四
Chinese (financial)
壹拾參萬貳仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٢٢٦٤ Devanagari १३२२६४ Bengali ১৩২২৬৪ Tamil ௧௩௨௨௬௪ Thai ๑๓๒๒๖๔ Tibetan ༡༣༢༢༦༤ Khmer ១៣២២៦៤ Lao ໑໓໒໒໖໔ Burmese ၁၃၂၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132264, here are decompositions:

  • 7 + 132257 = 132264
  • 17 + 132247 = 132264
  • 23 + 132241 = 132264
  • 31 + 132233 = 132264
  • 107 + 132157 = 132264
  • 113 + 132151 = 132264
  • 127 + 132137 = 132264
  • 151 + 132113 = 132264

Showing the first eight; more decompositions exist.

Unicode codepoint
𠒨
CJK Unified Ideograph-204A8
U+204A8
Other letter (Lo)

UTF-8 encoding: F0 A0 92 A8 (4 bytes).

Hex color
#0204A8
RGB(2, 4, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.168.

Address
0.2.4.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.168

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 132,264 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 132264 first appears in π at position 923,590 of the decimal expansion (the 923,590ordinal-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°.