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132,840

132,840 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.).

132,840 (one hundred thirty-two thousand eight hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 5 × 41. Its proper divisors sum to 324,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206E8.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
48,231
Square (n²)
17,646,465,600
Cube (n³)
2,344,156,490,304,000
Divisor count
80
σ(n) — sum of divisors
457,380
φ(n) — Euler's totient
34,560
Sum of prime factors
64

Primality

Prime factorization: 2 3 × 3 4 × 5 × 41

Nearest primes: 132,833 (−7) · 132,851 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 41 · 45 · 54 · 60 · 72 · 81 · 82 · 90 · 108 · 120 · 123 · 135 · 162 · 164 · 180 · 205 · 216 · 246 · 270 · 324 · 328 · 360 · 369 · 405 · 410 · 492 · 540 · 615 · 648 · 738 · 810 · 820 · 984 · 1080 · 1107 · 1230 · 1476 · 1620 · 1640 · 1845 · 2214 · 2460 · 2952 · 3240 · 3321 · 3690 · 4428 · 4920 · 5535 · 6642 · 7380 · 8856 · 11070 · 13284 · 14760 · 16605 · 22140 · 26568 · 33210 · 44280 · 66420 (half) · 132840
Aliquot sum (sum of proper divisors): 324,540
Factor pairs (a × b = 132,840)
1 × 132840
2 × 66420
3 × 44280
4 × 33210
5 × 26568
6 × 22140
8 × 16605
9 × 14760
10 × 13284
12 × 11070
15 × 8856
18 × 7380
20 × 6642
24 × 5535
27 × 4920
30 × 4428
36 × 3690
40 × 3321
41 × 3240
45 × 2952
54 × 2460
60 × 2214
72 × 1845
81 × 1640
82 × 1620
90 × 1476
108 × 1230
120 × 1107
123 × 1080
135 × 984
162 × 820
164 × 810
180 × 738
205 × 648
216 × 615
246 × 540
270 × 492
324 × 410
328 × 405
360 × 369
First multiples
132,840 · 265,680 (double) · 398,520 · 531,360 · 664,200 · 797,040 · 929,880 · 1,062,720 · 1,195,560 · 1,328,400

Sums & aliquot sequence

As a sum of two squares: 126² + 342² = 198² + 306²
As consecutive integers: 44,279 + 44,280 + 44,281 26,566 + 26,567 + 26,568 + 26,569 + 26,570 14,756 + 14,757 + … + 14,764 8,849 + 8,850 + … + 8,863
Aliquot sequence: 132,840 324,540 686,820 1,236,444 2,392,356 3,268,348 2,451,268 1,838,458 919,232 946,144 916,640 1,383,112 1,242,728 1,163,032 1,241,048 1,130,632 1,127,288 — unresolved within range

Continued fraction of √n

√132,840 = [364; (2, 8, 2, 728)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand eight hundred forty
Ordinal
132840th
Binary
100000011011101000
Octal
403350
Hexadecimal
0x206E8
Base64
Agbo
One's complement
4,294,834,455 (32-bit)
Scientific notation
1.3284 × 10⁵
As a duration
132,840 s = 1 day, 12 hours, 54 minutes
In other bases
ternary (3) 20202020000
quaternary (4) 200123220
quinary (5) 13222330
senary (6) 2503000
septenary (7) 1062201
nonary (9) 222200
undecimal (11) 90894
duodecimal (12) 64a60
tridecimal (13) 48606
tetradecimal (14) 365a8
pentadecimal (15) 29560

As an angle

132,840° = 369 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβωμʹ
Mayan (base 20)
𝋰·𝋬·𝋢·𝋠
Chinese
一十三萬二千八百四十
Chinese (financial)
壹拾參萬貳仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٣٢٨٤٠ Devanagari १३२८४० Bengali ১৩২৮৪০ Tamil ௧௩௨௮௪௦ Thai ๑๓๒๘๔๐ Tibetan ༡༣༢༨༤༠ Khmer ១៣២៨៤០ Lao ໑໓໒໘໔໐ Burmese ၁၃၂၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132840, here are decompositions:

  • 7 + 132833 = 132840
  • 23 + 132817 = 132840
  • 79 + 132761 = 132840
  • 83 + 132757 = 132840
  • 89 + 132751 = 132840
  • 101 + 132739 = 132840
  • 131 + 132709 = 132840
  • 139 + 132701 = 132840

Showing the first eight; more decompositions exist.

Unicode codepoint
𠛨
CJK Unified Ideograph-206E8
U+206E8
Other letter (Lo)

UTF-8 encoding: F0 A0 9B A8 (4 bytes).

Hex color
#0206E8
RGB(2, 6, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.232.

Address
0.2.6.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.232

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 132,840 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 132840 first appears in π at position 37,648 of the decimal expansion (the 37,648ordinal-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°.