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135,820

135,820 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.).

135,820 (one hundred thirty-five thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,791. Its proper divisors sum to 149,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2128C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
28,531
Square (n²)
18,447,072,400
Cube (n³)
2,505,481,373,368,000
Divisor count
12
σ(n) — sum of divisors
285,264
φ(n) — Euler's totient
54,320
Sum of prime factors
6,800

Primality

Prime factorization: 2 2 × 5 × 6791

Nearest primes: 135,799 (−21) · 135,829 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6791 · 13582 · 27164 · 33955 · 67910 (half) · 135820
Aliquot sum (sum of proper divisors): 149,444
Factor pairs (a × b = 135,820)
1 × 135820
2 × 67910
4 × 33955
5 × 27164
10 × 13582
20 × 6791
First multiples
135,820 · 271,640 (double) · 407,460 · 543,280 · 679,100 · 814,920 · 950,740 · 1,086,560 · 1,222,380 · 1,358,200

Sums & aliquot sequence

As consecutive integers: 27,162 + 27,163 + 27,164 + 27,165 + 27,166 16,974 + 16,975 + … + 16,981 3,376 + 3,377 + … + 3,415
Aliquot sequence: 135,820 149,444 112,090 108,230 90,490 72,410 68,206 35,834 24,646 12,326 6,166 3,086 1,546 776 694 350 394 — unresolved within range

Continued fraction of √n

√135,820 = [368; (1, 1, 6, 7, 6, 1, 18, 25, 2, 1, 3, 30, 2, 3, 1, 1, 1, 1, 12, 1, 3, 1, 3, 1, …)]

Representations

In words
one hundred thirty-five thousand eight hundred twenty
Ordinal
135820th
Binary
100001001010001100
Octal
411214
Hexadecimal
0x2128C
Base64
AhKM
One's complement
4,294,831,475 (32-bit)
Scientific notation
1.3582 × 10⁵
As a duration
135,820 s = 1 day, 13 hours, 43 minutes, 40 seconds
In other bases
ternary (3) 20220022101
quaternary (4) 201022030
quinary (5) 13321240
senary (6) 2524444
septenary (7) 1103656
nonary (9) 226271
undecimal (11) 93053
duodecimal (12) 66724
tridecimal (13) 49a89
tetradecimal (14) 376d6
pentadecimal (15) 2a39a

As an angle

135,820° = 377 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλεωκʹ
Mayan (base 20)
𝋰·𝋳·𝋫·𝋠
Chinese
一十三萬五千八百二十
Chinese (financial)
壹拾參萬伍仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٣٥٨٢٠ Devanagari १३५८२० Bengali ১৩৫৮২০ Tamil ௧௩௫௮௨௦ Thai ๑๓๕๘๒๐ Tibetan ༡༣༥༨༢༠ Khmer ១៣៥៨២០ Lao ໑໓໕໘໒໐ Burmese ၁၃၅၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135820, here are decompositions:

  • 89 + 135731 = 135820
  • 101 + 135719 = 135820
  • 149 + 135671 = 135820
  • 173 + 135647 = 135820
  • 197 + 135623 = 135820
  • 227 + 135593 = 135820
  • 239 + 135581 = 135820
  • 353 + 135467 = 135820

Showing the first eight; more decompositions exist.

Unicode codepoint
𡊌
CJK Unified Ideograph-2128C
U+2128C
Other letter (Lo)

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

Hex color
#02128C
RGB(2, 18, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.140.

Address
0.2.18.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.140

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 135,820 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 135820 first appears in π at position 463,502 of the decimal expansion (the 463,502ordinal-suffix:nd 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