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132,900

132,900 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.).

132,900 (one hundred thirty-two thousand nine hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 443. Its proper divisors sum to 252,492, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20724.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
9,231
Square (n²)
17,662,410,000
Cube (n³)
2,347,334,289,000,000
Divisor count
36
σ(n) — sum of divisors
385,392
φ(n) — Euler's totient
35,360
Sum of prime factors
460

Primality

Prime factorization: 2 2 × 3 × 5 2 × 443

Nearest primes: 132,893 (−7) · 132,911 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 443 · 886 · 1329 · 1772 · 2215 · 2658 · 4430 · 5316 · 6645 · 8860 · 11075 · 13290 · 22150 · 26580 · 33225 · 44300 · 66450 (half) · 132900
Aliquot sum (sum of proper divisors): 252,492
Factor pairs (a × b = 132,900)
1 × 132900
2 × 66450
3 × 44300
4 × 33225
5 × 26580
6 × 22150
10 × 13290
12 × 11075
15 × 8860
20 × 6645
25 × 5316
30 × 4430
50 × 2658
60 × 2215
75 × 1772
100 × 1329
150 × 886
300 × 443
First multiples
132,900 · 265,800 (double) · 398,700 · 531,600 · 664,500 · 797,400 · 930,300 · 1,063,200 · 1,196,100 · 1,329,000

Sums & aliquot sequence

As consecutive integers: 44,299 + 44,300 + 44,301 26,578 + 26,579 + 26,580 + 26,581 + 26,582 16,609 + 16,610 + … + 16,616 8,853 + 8,854 + … + 8,867
Aliquot sequence: 132,900 252,492 349,284 528,796 396,604 379,556 284,674 175,226 87,616 91,073 1,555 317 1 0 — terminates at zero

Continued fraction of √n

√132,900 = [364; (1, 1, 4, 11, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 6, 1, 65, 2, 2, 2, 2, 4, 3, 1, …)]

Representations

In words
one hundred thirty-two thousand nine hundred
Ordinal
132900th
Binary
100000011100100100
Octal
403444
Hexadecimal
0x20724
Base64
Agck
One's complement
4,294,834,395 (32-bit)
Scientific notation
1.329 × 10⁵
As a duration
132,900 s = 1 day, 12 hours, 55 minutes
In other bases
ternary (3) 20202022020
quaternary (4) 200130210
quinary (5) 13223100
senary (6) 2503140
septenary (7) 1062315
nonary (9) 222266
undecimal (11) 90939
duodecimal (12) 64ab0
tridecimal (13) 48651
tetradecimal (14) 3660c
pentadecimal (15) 295a0

As an angle

132,900° = 369 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλβϡʹ
Mayan (base 20)
𝋰·𝋬·𝋥·𝋠
Chinese
一十三萬二千九百
Chinese (financial)
壹拾參萬貳仟玖佰
In other modern scripts
Eastern Arabic ١٣٢٩٠٠ Devanagari १३२९०० Bengali ১৩২৯০০ Tamil ௧௩௨௯௦௦ Thai ๑๓๒๙๐๐ Tibetan ༡༣༢༩༠༠ Khmer ១៣២៩០០ Lao ໑໓໒໙໐໐ Burmese ၁၃၂၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132900, here are decompositions:

  • 7 + 132893 = 132900
  • 13 + 132887 = 132900
  • 37 + 132863 = 132900
  • 41 + 132859 = 132900
  • 43 + 132857 = 132900
  • 67 + 132833 = 132900
  • 83 + 132817 = 132900
  • 137 + 132763 = 132900

Showing the first eight; more decompositions exist.

Unicode codepoint
𠜤
CJK Unified Ideograph-20724
U+20724
Other letter (Lo)

UTF-8 encoding: F0 A0 9C A4 (4 bytes).

Hex color
#020724
RGB(2, 7, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.36.

Address
0.2.7.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.36

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 132,900 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 132900 first appears in π at position 995,449 of the decimal expansion (the 995,449ordinal-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°.