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138,590

138,590 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.).

138,590 (one hundred thirty-eight thousand five hundred ninety) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,859. Written other ways, in hexadecimal, 0x21D5E.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
95,831
Recamán's sequence
a(491,647) = 138,590
Square (n²)
19,207,188,100
Cube (n³)
2,661,924,198,779,000
Divisor count
8
σ(n) — sum of divisors
249,480
φ(n) — Euler's totient
55,432
Sum of prime factors
13,866

Primality

Prime factorization: 2 × 5 × 13859

Nearest primes: 138,587 (−3) · 138,599 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13859 · 27718 · 69295 (half) · 138590
Aliquot sum (sum of proper divisors): 110,890
Factor pairs (a × b = 138,590)
1 × 138590
2 × 69295
5 × 27718
10 × 13859
First multiples
138,590 · 277,180 (double) · 415,770 · 554,360 · 692,950 · 831,540 · 970,130 · 1,108,720 · 1,247,310 · 1,385,900

Sums & aliquot sequence

As consecutive integers: 34,646 + 34,647 + 34,648 + 34,649 27,716 + 27,717 + 27,718 + 27,719 + 27,720 6,920 + 6,921 + … + 6,939
Aliquot sequence: 138,590 110,890 104,318 55,930 68,486 44,830 35,882 31,510 28,106 20,278 10,142 6,490 6,470 5,194 4,040 5,140 5,696 — unresolved within range

Continued fraction of √n

√138,590 = [372; (3, 1, 1, 1, 1, 2, 2, 11, 28, 1, 1, 4, 1, 1, 2, 4, 74, 4, 2, 1, 1, 4, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred ninety
Ordinal
138590th
Binary
100001110101011110
Octal
416536
Hexadecimal
0x21D5E
Base64
Ah1e
One's complement
4,294,828,705 (32-bit)
Scientific notation
1.3859 × 10⁵
As a duration
138,590 s = 1 day, 14 hours, 29 minutes, 50 seconds
In other bases
ternary (3) 21001002222
quaternary (4) 201311132
quinary (5) 13413330
senary (6) 2545342
septenary (7) 1115024
nonary (9) 231088
undecimal (11) 95141
duodecimal (12) 68252
tridecimal (13) 4b10a
tetradecimal (14) 38714
pentadecimal (15) 2b0e5

As an angle

138,590° = 384 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληφϟʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋪
Chinese
一十三萬八千五百九十
Chinese (financial)
壹拾參萬捌仟伍佰玖拾
In other modern scripts
Eastern Arabic ١٣٨٥٩٠ Devanagari १३८५९० Bengali ১৩৮৫৯০ Tamil ௧௩௮௫௯௦ Thai ๑๓๘๕๙๐ Tibetan ༡༣༨༥༩༠ Khmer ១៣៨៥៩០ Lao ໑໓໘໕໙໐ Burmese ၁၃၈၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138590, here are decompositions:

  • 3 + 138587 = 138590
  • 13 + 138577 = 138590
  • 19 + 138571 = 138590
  • 31 + 138559 = 138590
  • 43 + 138547 = 138590
  • 73 + 138517 = 138590
  • 79 + 138511 = 138590
  • 97 + 138493 = 138590

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵞
CJK Unified Ideograph-21D5E
U+21D5E
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 9E (4 bytes).

Hex color
#021D5E
RGB(2, 29, 94)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.94.

Address
0.2.29.94
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.94

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 138,590 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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