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135,990

135,990 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.).

135,990 (one hundred thirty-five thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 1,511. Its proper divisors sum to 217,818, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21336.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
99,531
Square (n²)
18,493,280,100
Cube (n³)
2,514,901,160,799,000
Divisor count
24
σ(n) — sum of divisors
353,808
φ(n) — Euler's totient
36,240
Sum of prime factors
1,524

Primality

Prime factorization: 2 × 3 2 × 5 × 1511

Nearest primes: 135,979 (−11) · 136,013 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 30 · 45 · 90 · 1511 · 3022 · 4533 · 7555 · 9066 · 13599 · 15110 · 22665 · 27198 · 45330 · 67995 (half) · 135990
Aliquot sum (sum of proper divisors): 217,818
Factor pairs (a × b = 135,990)
1 × 135990
2 × 67995
3 × 45330
5 × 27198
6 × 22665
9 × 15110
10 × 13599
15 × 9066
18 × 7555
30 × 4533
45 × 3022
90 × 1511
First multiples
135,990 · 271,980 (double) · 407,970 · 543,960 · 679,950 · 815,940 · 951,930 · 1,087,920 · 1,223,910 · 1,359,900

Sums & aliquot sequence

As consecutive integers: 45,329 + 45,330 + 45,331 33,996 + 33,997 + 33,998 + 33,999 27,196 + 27,197 + 27,198 + 27,199 + 27,200 15,106 + 15,107 + … + 15,114
Aliquot sequence: 135,990 217,818 254,160 601,812 947,008 932,338 593,342 301,090 240,890 258,070 212,378 106,192 99,586 65,654 38,674 20,474 11,386 — unresolved within range

Continued fraction of √n

√135,990 = [368; (1, 3, 3, 5, 1, 1, 4, 1, 24, 1, 1, 1, 1, 2, 1, 1, 4, 2, 8, 7, 1, 72, 1, 7, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred ninety
Ordinal
135990th
Binary
100001001100110110
Octal
411466
Hexadecimal
0x21336
Base64
AhM2
One's complement
4,294,831,305 (32-bit)
Scientific notation
1.3599 × 10⁵
As a duration
135,990 s = 1 day, 13 hours, 46 minutes, 30 seconds
In other bases
ternary (3) 20220112200
quaternary (4) 201030312
quinary (5) 13322430
senary (6) 2525330
septenary (7) 1104321
nonary (9) 226480
undecimal (11) 93198
duodecimal (12) 66846
tridecimal (13) 49b8a
tetradecimal (14) 377b8
pentadecimal (15) 2a460

As an angle

135,990° = 377 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεϡϟʹ
Mayan (base 20)
𝋰·𝋳·𝋳·𝋪
Chinese
一十三萬五千九百九十
Chinese (financial)
壹拾參萬伍仟玖佰玖拾
In other modern scripts
Eastern Arabic ١٣٥٩٩٠ Devanagari १३५९९० Bengali ১৩৫৯৯০ Tamil ௧௩௫௯௯௦ Thai ๑๓๕๙๙๐ Tibetan ༡༣༥༩༩༠ Khmer ១៣៥៩៩០ Lao ໑໓໕໙໙໐ Burmese ၁၃၅၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135990, here are decompositions:

  • 11 + 135979 = 135990
  • 13 + 135977 = 135990
  • 53 + 135937 = 135990
  • 61 + 135929 = 135990
  • 79 + 135911 = 135990
  • 97 + 135893 = 135990
  • 103 + 135887 = 135990
  • 131 + 135859 = 135990

Showing the first eight; more decompositions exist.

Unicode codepoint
𡌶
CJK Unified Ideograph-21336
U+21336
Other letter (Lo)

UTF-8 encoding: F0 A1 8C B6 (4 bytes).

Hex color
#021336
RGB(2, 19, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.54.

Address
0.2.19.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.54

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 135,990 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.