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135,824

135,824 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.).

135,824 (one hundred thirty-five thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 653. Its proper divisors sum to 148,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21290.

Abundant Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
428,531
Square (n²)
18,448,158,976
Cube (n³)
2,505,702,744,756,224
Divisor count
20
σ(n) — sum of divisors
283,836
φ(n) — Euler's totient
62,592
Sum of prime factors
674

Primality

Prime factorization: 2 4 × 13 × 653

Nearest primes: 135,799 (−25) · 135,829 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 653 · 1306 · 2612 · 5224 · 8489 · 10448 · 16978 · 33956 · 67912 (half) · 135824
Aliquot sum (sum of proper divisors): 148,012
Factor pairs (a × b = 135,824)
1 × 135824
2 × 67912
4 × 33956
8 × 16978
13 × 10448
16 × 8489
26 × 5224
52 × 2612
104 × 1306
208 × 653
First multiples
135,824 · 271,648 (double) · 407,472 · 543,296 · 679,120 · 814,944 · 950,768 · 1,086,592 · 1,222,416 · 1,358,240

Sums & aliquot sequence

As a sum of two squares: 20² + 368² = 160² + 332²
As consecutive integers: 10,442 + 10,443 + … + 10,454 4,229 + 4,230 + … + 4,260 119 + 120 + … + 534
Aliquot sequence: 135,824 148,012 111,016 97,154 53,374 26,690 24,502 12,254 7,834 3,920 6,682 4,154 2,374 1,190 1,402 704 820 — unresolved within range

Continued fraction of √n

√135,824 = [368; (1, 1, 5, 3, 3, 2, 1, 1, 3, 3, 1, 2, 2, 1, 1, 13, 1, 1, 2, 2, 1, 3, 3, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand eight hundred twenty-four
Ordinal
135824th
Binary
100001001010010000
Octal
411220
Hexadecimal
0x21290
Base64
AhKQ
One's complement
4,294,831,471 (32-bit)
Scientific notation
1.35824 × 10⁵
As a duration
135,824 s = 1 day, 13 hours, 43 minutes, 44 seconds
In other bases
ternary (3) 20220022112
quaternary (4) 201022100
quinary (5) 13321244
senary (6) 2524452
septenary (7) 1103663
nonary (9) 226275
undecimal (11) 93057
duodecimal (12) 66728
tridecimal (13) 49a90
tetradecimal (14) 376da
pentadecimal (15) 2a39e

As an angle

135,824° = 377 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεωκδʹ
Mayan (base 20)
𝋰·𝋳·𝋫·𝋤
Chinese
一十三萬五千八百二十四
Chinese (financial)
壹拾參萬伍仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٥٨٢٤ Devanagari १३५८२४ Bengali ১৩৫৮২৪ Tamil ௧௩௫௮௨௪ Thai ๑๓๕๘๒๔ Tibetan ༡༣༥༨༢༤ Khmer ១៣៥៨២៤ Lao ໑໓໕໘໒໔ Burmese ၁၃၅၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135824, here are decompositions:

  • 37 + 135787 = 135824
  • 43 + 135781 = 135824
  • 67 + 135757 = 135824
  • 97 + 135727 = 135824
  • 103 + 135721 = 135824
  • 127 + 135697 = 135824
  • 163 + 135661 = 135824
  • 211 + 135613 = 135824

Showing the first eight; more decompositions exist.

Unicode codepoint
𡊐
CJK Unified Ideograph-21290
U+21290
Other letter (Lo)

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

Hex color
#021290
RGB(2, 18, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.144.

Address
0.2.18.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.144

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 135,824 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.