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132,330

132,330 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.).

132,330 (one hundred thirty-two thousand three hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 11 × 401. Its proper divisors sum to 214,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x204EA.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
33,231
Recamán's sequence
a(227,712) = 132,330
Square (n²)
17,511,228,900
Cube (n³)
2,317,260,920,337,000
Divisor count
32
σ(n) — sum of divisors
347,328
φ(n) — Euler's totient
32,000
Sum of prime factors
422

Primality

Prime factorization: 2 × 3 × 5 × 11 × 401

Nearest primes: 132,329 (−1) · 132,331 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 11 · 15 · 22 · 30 · 33 · 55 · 66 · 110 · 165 · 330 · 401 · 802 · 1203 · 2005 · 2406 · 4010 · 4411 · 6015 · 8822 · 12030 · 13233 · 22055 · 26466 · 44110 · 66165 (half) · 132330
Aliquot sum (sum of proper divisors): 214,998
Factor pairs (a × b = 132,330)
1 × 132330
2 × 66165
3 × 44110
5 × 26466
6 × 22055
10 × 13233
11 × 12030
15 × 8822
22 × 6015
30 × 4411
33 × 4010
55 × 2406
66 × 2005
110 × 1203
165 × 802
330 × 401
First multiples
132,330 · 264,660 (double) · 396,990 · 529,320 · 661,650 · 793,980 · 926,310 · 1,058,640 · 1,190,970 · 1,323,300

Sums & aliquot sequence

As consecutive integers: 44,109 + 44,110 + 44,111 33,081 + 33,082 + 33,083 + 33,084 26,464 + 26,465 + 26,466 + 26,467 + 26,468 12,025 + 12,026 + … + 12,035
Aliquot sequence: 132,330 214,998 276,522 309,270 507,642 593,478 692,430 969,474 1,208,382 1,553,730 2,235,774 2,235,786 2,874,678 3,297,738 3,297,750 4,935,306 4,935,318 — unresolved within range

Continued fraction of √n

√132,330 = [363; (1, 3, 2, 1, 1, 1, 1, 12, 1, 1, 1, 1, 2, 3, 1, 726)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand three hundred thirty
Ordinal
132330th
Binary
100000010011101010
Octal
402352
Hexadecimal
0x204EA
Base64
AgTq
One's complement
4,294,834,965 (32-bit)
Scientific notation
1.3233 × 10⁵
As a duration
132,330 s = 1 day, 12 hours, 45 minutes, 30 seconds
In other bases
ternary (3) 20201112010
quaternary (4) 200103222
quinary (5) 13213310
senary (6) 2500350
septenary (7) 1060542
nonary (9) 221463
undecimal (11) 90470
duodecimal (12) 646b6
tridecimal (13) 48303
tetradecimal (14) 36322
pentadecimal (15) 29320

As an angle

132,330° = 367 × 360° + 210°
210° ≈ 3.665 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλβτλʹ
Mayan (base 20)
𝋰·𝋪·𝋰·𝋪
Chinese
一十三萬二千三百三十
Chinese (financial)
壹拾參萬貳仟參佰參拾
In other modern scripts
Eastern Arabic ١٣٢٣٣٠ Devanagari १३२३३० Bengali ১৩২৩৩০ Tamil ௧௩௨௩௩௦ Thai ๑๓๒๓๓๐ Tibetan ༡༣༢༣༣༠ Khmer ១៣២៣៣០ Lao ໑໓໒໓໓໐ Burmese ၁၃၂၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132330, here are decompositions:

  • 17 + 132313 = 132330
  • 31 + 132299 = 132330
  • 43 + 132287 = 132330
  • 47 + 132283 = 132330
  • 67 + 132263 = 132330
  • 73 + 132257 = 132330
  • 83 + 132247 = 132330
  • 89 + 132241 = 132330

Showing the first eight; more decompositions exist.

Unicode codepoint
𠓪
CJK Unified Ideograph-204Ea
U+204EA
Other letter (Lo)

UTF-8 encoding: F0 A0 93 AA (4 bytes).

Hex color
#0204EA
RGB(2, 4, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.234.

Address
0.2.4.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.234

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 132,330 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 132330 first appears in π at position 115,655 of the decimal expansion (the 115,655ordinal-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°.