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135,590

135,590 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.).

135,590 (one hundred thirty-five thousand five hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 13 × 149. Its proper divisors sum to 166,810, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x211A6.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
95,531
Square (n²)
18,384,648,100
Cube (n³)
2,492,774,435,879,000
Divisor count
32
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
42,624
Sum of prime factors
176

Primality

Prime factorization: 2 × 5 × 7 × 13 × 149

Nearest primes: 135,589 (−1) · 135,593 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 13 · 14 · 26 · 35 · 65 · 70 · 91 · 130 · 149 · 182 · 298 · 455 · 745 · 910 · 1043 · 1490 · 1937 · 2086 · 3874 · 5215 · 9685 · 10430 · 13559 · 19370 · 27118 · 67795 (half) · 135590
Aliquot sum (sum of proper divisors): 166,810
Factor pairs (a × b = 135,590)
1 × 135590
2 × 67795
5 × 27118
7 × 19370
10 × 13559
13 × 10430
14 × 9685
26 × 5215
35 × 3874
65 × 2086
70 × 1937
91 × 1490
130 × 1043
149 × 910
182 × 745
298 × 455
First multiples
135,590 · 271,180 (double) · 406,770 · 542,360 · 677,950 · 813,540 · 949,130 · 1,084,720 · 1,220,310 · 1,355,900

Sums & aliquot sequence

As consecutive integers: 33,896 + 33,897 + 33,898 + 33,899 27,116 + 27,117 + 27,118 + 27,119 + 27,120 19,367 + 19,368 + … + 19,373 10,424 + 10,425 + … + 10,436
Aliquot sequence: 135,590 166,810 176,486 91,834 60,014 32,554 17,594 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 1,594 — unresolved within range

Continued fraction of √n

√135,590 = [368; (4, 2, 3, 2, 1, 5, 2, 1, 1, 3, 1, 1, 11, 1, 1, 20, 1, 1, 11, 1, 1, 3, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand five hundred ninety
Ordinal
135590th
Binary
100001000110100110
Octal
410646
Hexadecimal
0x211A6
Base64
AhGm
One's complement
4,294,831,705 (32-bit)
Scientific notation
1.3559 × 10⁵
As a duration
135,590 s = 1 day, 13 hours, 39 minutes, 50 seconds
In other bases
ternary (3) 20212222212
quaternary (4) 201012212
quinary (5) 13314330
senary (6) 2523422
septenary (7) 1103210
nonary (9) 225885
undecimal (11) 92964
duodecimal (12) 66572
tridecimal (13) 49940
tetradecimal (14) 375b0
pentadecimal (15) 2a295

As an angle

135,590° = 376 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεφϟʹ
Mayan (base 20)
𝋰·𝋲·𝋳·𝋪
Chinese
一十三萬五千五百九十
Chinese (financial)
壹拾參萬伍仟伍佰玖拾
In other modern scripts
Eastern Arabic ١٣٥٥٩٠ Devanagari १३५५९० Bengali ১৩৫৫৯০ Tamil ௧௩௫௫௯௦ Thai ๑๓๕๕๙๐ Tibetan ༡༣༥༥༩༠ Khmer ១៣៥៥៩០ Lao ໑໓໕໕໙໐ Burmese ၁၃၅၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135590, here are decompositions:

  • 19 + 135571 = 135590
  • 31 + 135559 = 135590
  • 79 + 135511 = 135590
  • 127 + 135463 = 135590
  • 157 + 135433 = 135590
  • 163 + 135427 = 135590
  • 181 + 135409 = 135590
  • 199 + 135391 = 135590

Showing the first eight; more decompositions exist.

Unicode codepoint
𡆦
CJK Unified Ideograph-211A6
U+211A6
Other letter (Lo)

UTF-8 encoding: F0 A1 86 A6 (4 bytes).

Hex color
#0211A6
RGB(2, 17, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.166.

Address
0.2.17.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.166

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 135,590 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 135590 first appears in π at position 513,905 of the decimal expansion (the 513,905ordinal-suffix:th 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

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