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135,504

135,504 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.).

135,504 (one hundred thirty-five thousand five hundred four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 941. Its proper divisors sum to 244,122, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21150.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
405,531
Square (n²)
18,361,334,016
Cube (n³)
2,488,034,204,504,064
Divisor count
30
σ(n) — sum of divisors
379,626
φ(n) — Euler's totient
45,120
Sum of prime factors
955

Primality

Prime factorization: 2 4 × 3 2 × 941

Nearest primes: 135,497 (−7) · 135,511 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 941 · 1882 · 2823 · 3764 · 5646 · 7528 · 8469 · 11292 · 15056 · 16938 · 22584 · 33876 · 45168 · 67752 (half) · 135504
Aliquot sum (sum of proper divisors): 244,122
Factor pairs (a × b = 135,504)
1 × 135504
2 × 67752
3 × 45168
4 × 33876
6 × 22584
8 × 16938
9 × 15056
12 × 11292
16 × 8469
18 × 7528
24 × 5646
36 × 3764
48 × 2823
72 × 1882
144 × 941
First multiples
135,504 · 271,008 (double) · 406,512 · 542,016 · 677,520 · 813,024 · 948,528 · 1,084,032 · 1,219,536 · 1,355,040

Sums & aliquot sequence

As a sum of two squares: 120² + 348²
As consecutive integers: 45,167 + 45,168 + 45,169 15,052 + 15,053 + … + 15,060 4,219 + 4,220 + … + 4,250 1,364 + 1,365 + … + 1,459
Aliquot sequence: 135,504 244,122 291,558 291,570 408,270 605,490 847,758 857,922 1,101,630 1,542,354 1,822,926 2,343,858 3,073,422 3,632,370 6,562,830 9,188,034 9,378,654 — unresolved within range

Continued fraction of √n

√135,504 = [368; (9, 4, 1, 28, 1, 1, 1, 4, 3, 4, 1, 3, 3, 1, 1, 2, 4, 1, 2, 1, 1, 1, 1, 3, …)]

Representations

In words
one hundred thirty-five thousand five hundred four
Ordinal
135504th
Binary
100001000101010000
Octal
410520
Hexadecimal
0x21150
Base64
AhFQ
One's complement
4,294,831,791 (32-bit)
Scientific notation
1.35504 × 10⁵
As a duration
135,504 s = 1 day, 13 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 20212212200
quaternary (4) 201011100
quinary (5) 13314004
senary (6) 2523200
septenary (7) 1103025
nonary (9) 225780
undecimal (11) 92896
duodecimal (12) 66500
tridecimal (13) 498a5
tetradecimal (14) 3754c
pentadecimal (15) 2a239

As an angle

135,504° = 376 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεφδʹ
Mayan (base 20)
𝋰·𝋲·𝋯·𝋤
Chinese
一十三萬五千五百零四
Chinese (financial)
壹拾參萬伍仟伍佰零肆
In other modern scripts
Eastern Arabic ١٣٥٥٠٤ Devanagari १३५५०४ Bengali ১৩৫৫০৪ Tamil ௧௩௫௫௦௪ Thai ๑๓๕๕๐๔ Tibetan ༡༣༥༥༠༤ Khmer ១៣៥៥០៤ Lao ໑໓໕໕໐໔ Burmese ၁၃၅၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135504, here are decompositions:

  • 7 + 135497 = 135504
  • 37 + 135467 = 135504
  • 41 + 135463 = 135504
  • 43 + 135461 = 135504
  • 71 + 135433 = 135504
  • 73 + 135431 = 135504
  • 101 + 135403 = 135504
  • 113 + 135391 = 135504

Showing the first eight; more decompositions exist.

Unicode codepoint
𡅐
CJK Unified Ideograph-21150
U+21150
Other letter (Lo)

UTF-8 encoding: F0 A1 85 90 (4 bytes).

Hex color
#021150
RGB(2, 17, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.80.

Address
0.2.17.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.80

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 135,504 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°.