Live analysis

133,080

133,080 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.).

133,080 (one hundred thirty-three thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,109. Its proper divisors sum to 266,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207D8.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

133,068 133,069 133,070 133,071 133,072 133,073 133,074 133,075 133,076 133,077 133,078 133,079 133,080 133,081 133,082 133,083 133,084 133,085 133,086 133,087 133,088 133,089 133,090 133,091 133,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 80,331
Square (n²): 17,710,286,400
Cube (n³): 2,356,884,914,112,000
Divisor count: 32
σ(n) — sum of divisors: 399,600
φ(n) — Euler's totient: 35,456
Sum of prime factors: 1,123

Primality

Prime factorization: 2 ³ × 3 × 5 × 1109

Nearest primes: 133,073 (−7) · 133,087 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1109 · 2218 · 3327 · 4436 · 5545 · 6654 · 8872 · 11090 · 13308 · 16635 · 22180 · 26616 · 33270 · 44360 · 66540 (half) · 133080

Aliquot sum (sum of proper divisors): 266,520

Factor pairs (a × b = 133,080)

1 × 133080

2 × 66540

3 × 44360

4 × 33270

5 × 26616

6 × 22180

8 × 16635

10 × 13308

12 × 11090

15 × 8872

20 × 6654

24 × 5545

30 × 4436

40 × 3327

60 × 2218

120 × 1109

First multiples

133,080 · 266,160 (double) · 399,240 · 532,320 · 665,400 · 798,480 · 931,560 · 1,064,640 · 1,197,720 · 1,330,800

Sums & aliquot sequence

As consecutive integers: 44,359 + 44,360 + 44,361 26,614 + 26,615 + 26,616 + 26,617 + 26,618 8,865 + 8,866 + … + 8,879 8,310 + 8,311 + … + 8,325

Aliquot sequence: 133,080 → 266,520 → 533,400 → 1,371,240 → 3,444,480 → 9,947,808 → 20,528,820 → 48,939,852 → 74,037,604 → 62,347,596 → 83,461,284 → 134,484,444 → 205,462,436 → 154,296,376 → 158,707,784 → 156,374,116 → 117,399,384 — unresolved within range

Continued fraction of √n

√133,080 = [364; (1, 4, 30, 4, 1, 728)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand eighty
Ordinal: 133080th
Binary: 100000011111011000
Octal: 403730
Hexadecimal: 0x207D8
Base64: AgfY
One's complement: 4,294,834,215 (32-bit)
Scientific notation: 1.3308 × 10⁵
As a duration: 133,080 s = 1 day, 12 hours, 58 minutes

In other bases

ternary (3) 20202112220

quaternary (4) 200133120

quinary (5) 13224310

senary (6) 2504040

septenary (7) 1062663

nonary (9) 222486

undecimal (11) 90a92

duodecimal (12) 65020

tridecimal (13) 4875c

tetradecimal (14) 366da

pentadecimal (15) 29670

As an angle

133,080° = 369 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλγπʹ
Mayan (base 20): 𝋰·𝋬·𝋮·𝋠
Chinese: 一十三萬三千零八十
Chinese (financial): 壹拾參萬參仟零捌拾

In other modern scripts

Eastern Arabic ١٣٣٠٨٠ Devanagari १३३०८० Bengali ১৩৩০৮০ Tamil ௧௩௩௦௮௦ Thai ๑๓๓๐๘๐ Tibetan ༡༣༣༠༨༠ Khmer ១៣៣០៨០ Lao ໑໓໓໐໘໐ Burmese ၁၃၃၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133080, here are decompositions:

7 + 133073 = 133080
11 + 133069 = 133080
29 + 133051 = 133080
41 + 133039 = 133080
47 + 133033 = 133080
67 + 133013 = 133080
109 + 132971 = 133080
113 + 132967 = 133080

Showing the first eight; more decompositions exist.

Unicode codepoint

𠟘

CJK Unified Ideograph-207D8

U+207D8

Other letter (Lo)

UTF-8 encoding: F0 A0 9F 98 (4 bytes).

Lookup U+207D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0207D8

RGB(2, 7, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.216.

Address: 0.2.7.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.216

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 133,080 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US133,080 on Google Patents ↗ Look up on USPTO ↗