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136,590

136,590 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.).

136,590 (one hundred thirty-six thousand five hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 29 × 157. Its proper divisors sum to 204,690, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2158E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
95,631
Square (n²)
18,656,828,100
Cube (n³)
2,548,336,150,179,000
Divisor count
32
σ(n) — sum of divisors
341,280
φ(n) — Euler's totient
34,944
Sum of prime factors
196

Primality

Prime factorization: 2 × 3 × 5 × 29 × 157

Nearest primes: 136,573 (−17) · 136,601 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 29 · 30 · 58 · 87 · 145 · 157 · 174 · 290 · 314 · 435 · 471 · 785 · 870 · 942 · 1570 · 2355 · 4553 · 4710 · 9106 · 13659 · 22765 · 27318 · 45530 · 68295 (half) · 136590
Aliquot sum (sum of proper divisors): 204,690
Factor pairs (a × b = 136,590)
1 × 136590
2 × 68295
3 × 45530
5 × 27318
6 × 22765
10 × 13659
15 × 9106
29 × 4710
30 × 4553
58 × 2355
87 × 1570
145 × 942
157 × 870
174 × 785
290 × 471
314 × 435
First multiples
136,590 · 273,180 (double) · 409,770 · 546,360 · 682,950 · 819,540 · 956,130 · 1,092,720 · 1,229,310 · 1,365,900

Sums & aliquot sequence

As consecutive integers: 45,529 + 45,530 + 45,531 34,146 + 34,147 + 34,148 + 34,149 27,316 + 27,317 + 27,318 + 27,319 + 27,320 11,377 + 11,378 + … + 11,388
Aliquot sequence: 136,590 204,690 286,638 359,634 425,166 570,162 570,174 705,090 1,077,630 1,662,114 1,752,414 1,752,426 2,337,114 3,039,558 3,039,570 4,863,546 5,747,418 — unresolved within range

Continued fraction of √n

√136,590 = [369; (1, 1, 2, 1, 1, 2, 4, 1, 5, 1, 9, 1, 1, 3, 1, 5, 1, 1, 1, 5, 2, 5, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand five hundred ninety
Ordinal
136590th
Binary
100001010110001110
Octal
412616
Hexadecimal
0x2158E
Base64
AhWO
One's complement
4,294,830,705 (32-bit)
Scientific notation
1.3659 × 10⁵
As a duration
136,590 s = 1 day, 13 hours, 56 minutes, 30 seconds
In other bases
ternary (3) 20221100220
quaternary (4) 201112032
quinary (5) 13332330
senary (6) 2532210
septenary (7) 1106136
nonary (9) 227326
undecimal (11) 93693
duodecimal (12) 67066
tridecimal (13) 4a22c
tetradecimal (14) 37ac6
pentadecimal (15) 2a710

As an angle

136,590° = 379 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛφϟʹ
Mayan (base 20)
𝋱·𝋡·𝋩·𝋪
Chinese
一十三萬六千五百九十
Chinese (financial)
壹拾參萬陸仟伍佰玖拾
In other modern scripts
Eastern Arabic ١٣٦٥٩٠ Devanagari १३६५९० Bengali ১৩৬৫৯০ Tamil ௧௩௬௫௯௦ Thai ๑๓๖๕๙๐ Tibetan ༡༣༦༥༩༠ Khmer ១៣៦៥៩០ Lao ໑໓໖໕໙໐ Burmese ၁၃၆၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136590, here are decompositions:

  • 17 + 136573 = 136590
  • 31 + 136559 = 136590
  • 43 + 136547 = 136590
  • 53 + 136537 = 136590
  • 59 + 136531 = 136590
  • 67 + 136523 = 136590
  • 71 + 136519 = 136590
  • 79 + 136511 = 136590

Showing the first eight; more decompositions exist.

Unicode codepoint
𡖎
CJK Unified Ideograph-2158E
U+2158E
Other letter (Lo)

UTF-8 encoding: F0 A1 96 8E (4 bytes).

Hex color
#02158E
RGB(2, 21, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.142.

Address
0.2.21.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.142

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 136,590 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 136590 first appears in π at position 443,546 of the decimal expansion (the 443,546ordinal-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

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