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132,648

132,648 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.).

132,648 (one hundred thirty-two thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,527. Its proper divisors sum to 199,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20628.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
846,231
Square (n²)
17,595,491,904
Cube (n³)
2,334,006,810,081,792
Divisor count
16
σ(n) — sum of divisors
331,680
φ(n) — Euler's totient
44,208
Sum of prime factors
5,536

Primality

Prime factorization: 2 3 × 3 × 5527

Nearest primes: 132,647 (−1) · 132,661 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5527 · 11054 · 16581 · 22108 · 33162 · 44216 · 66324 (half) · 132648
Aliquot sum (sum of proper divisors): 199,032
Factor pairs (a × b = 132,648)
1 × 132648
2 × 66324
3 × 44216
4 × 33162
6 × 22108
8 × 16581
12 × 11054
24 × 5527
First multiples
132,648 · 265,296 (double) · 397,944 · 530,592 · 663,240 · 795,888 · 928,536 · 1,061,184 · 1,193,832 · 1,326,480

Sums & aliquot sequence

As consecutive integers: 44,215 + 44,216 + 44,217 8,283 + 8,284 + … + 8,298 2,740 + 2,741 + … + 2,787
Aliquot sequence: 132,648 199,032 298,608 472,920 1,151,400 2,643,000 5,612,520 11,225,400 24,330,360 48,661,080 108,556,680 219,123,960 535,839,240 1,071,678,840 2,157,240,360 5,092,065,240 10,184,130,840 — keeps growing

Continued fraction of √n

√132,648 = [364; (4, 1, 3, 1, 3, 1, 1, 3, 15, 4, 1, 1, 1, 1, 9, 1, 1, 1, 6, 2, 1, 6, 1, 4, …)]

Representations

In words
one hundred thirty-two thousand six hundred forty-eight
Ordinal
132648th
Binary
100000011000101000
Octal
403050
Hexadecimal
0x20628
Base64
AgYo
One's complement
4,294,834,647 (32-bit)
Scientific notation
1.32648 × 10⁵
As a duration
132,648 s = 1 day, 12 hours, 50 minutes, 48 seconds
In other bases
ternary (3) 20201221220
quaternary (4) 200120220
quinary (5) 13221043
senary (6) 2502040
septenary (7) 1061505
nonary (9) 221856
undecimal (11) 9072a
duodecimal (12) 64920
tridecimal (13) 484b9
tetradecimal (14) 364ac
pentadecimal (15) 29483

As an angle

132,648° = 368 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβχμηʹ
Mayan (base 20)
𝋰·𝋫·𝋬·𝋨
Chinese
一十三萬二千六百四十八
Chinese (financial)
壹拾參萬貳仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٢٦٤٨ Devanagari १३२६४८ Bengali ১৩২৬৪৮ Tamil ௧௩௨௬௪௮ Thai ๑๓๒๖๔๘ Tibetan ༡༣༢༦༤༨ Khmer ១៣២៦៤៨ Lao ໑໓໒໖໔໘ Burmese ၁၃၂၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132648, here are decompositions:

  • 11 + 132637 = 132648
  • 17 + 132631 = 132648
  • 29 + 132619 = 132648
  • 37 + 132611 = 132648
  • 41 + 132607 = 132648
  • 59 + 132589 = 132648
  • 101 + 132547 = 132648
  • 107 + 132541 = 132648

Showing the first eight; more decompositions exist.

Unicode codepoint
𠘨
CJK Unified Ideograph-20628
U+20628
Other letter (Lo)

UTF-8 encoding: F0 A0 98 A8 (4 bytes).

Hex color
#020628
RGB(2, 6, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.40.

Address
0.2.6.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.40

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 132,648 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 132648 first appears in π at position 533,750 of the decimal expansion (the 533,750ordinal-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°.