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138,090

138,090 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.).

138,090 (one hundred thirty-eight thousand ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,603. Its proper divisors sum to 193,398, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B6A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
90,831
Recamán's sequence
a(492,647) = 138,090
Square (n²)
19,068,848,100
Cube (n³)
2,633,217,234,129,000
Divisor count
16
σ(n) — sum of divisors
331,488
φ(n) — Euler's totient
36,816
Sum of prime factors
4,613

Primality

Prime factorization: 2 × 3 × 5 × 4603

Nearest primes: 138,079 (−11) · 138,101 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4603 · 9206 · 13809 · 23015 · 27618 · 46030 · 69045 (half) · 138090
Aliquot sum (sum of proper divisors): 193,398
Factor pairs (a × b = 138,090)
1 × 138090
2 × 69045
3 × 46030
5 × 27618
6 × 23015
10 × 13809
15 × 9206
30 × 4603
First multiples
138,090 · 276,180 (double) · 414,270 · 552,360 · 690,450 · 828,540 · 966,630 · 1,104,720 · 1,242,810 · 1,380,900

Sums & aliquot sequence

As consecutive integers: 46,029 + 46,030 + 46,031 34,521 + 34,522 + 34,523 + 34,524 27,616 + 27,617 + 27,618 + 27,619 + 27,620 11,502 + 11,503 + … + 11,513
Aliquot sequence: 138,090 193,398 193,410 383,166 565,938 714,510 1,256,706 1,741,380 3,134,652 4,257,684 7,542,720 19,639,344 31,095,752 27,293,908 23,280,224 26,720,104 23,439,416 — unresolved within range

Continued fraction of √n

√138,090 = [371; (1, 1, 1, 1, 8, 23, 1, 6, 18, 1, 10, 2, 17, 1, 1, 1, 5, 1, 1, 2, 2, 3, 1, 48, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand ninety
Ordinal
138090th
Binary
100001101101101010
Octal
415552
Hexadecimal
0x21B6A
Base64
Ahtq
One's complement
4,294,829,205 (32-bit)
Scientific notation
1.3809 × 10⁵
As a duration
138,090 s = 1 day, 14 hours, 21 minutes, 30 seconds
In other bases
ternary (3) 21000102110
quaternary (4) 201231222
quinary (5) 13404330
senary (6) 2543150
septenary (7) 1113411
nonary (9) 230373
undecimal (11) 94827
duodecimal (12) 67ab6
tridecimal (13) 4ab14
tetradecimal (14) 38478
pentadecimal (15) 2adb0

As an angle

138,090° = 383 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληϟʹ
Mayan (base 20)
𝋱·𝋥·𝋤·𝋪
Chinese
一十三萬八千零九十
Chinese (financial)
壹拾參萬捌仟零玖拾
In other modern scripts
Eastern Arabic ١٣٨٠٩٠ Devanagari १३८०९० Bengali ১৩৮০৯০ Tamil ௧௩௮௦௯௦ Thai ๑๓๘๐๙๐ Tibetan ༡༣༨༠༩༠ Khmer ១៣៨០៩០ Lao ໑໓໘໐໙໐ Burmese ၁၃၈၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138090, here are decompositions:

  • 11 + 138079 = 138090
  • 13 + 138077 = 138090
  • 19 + 138071 = 138090
  • 31 + 138059 = 138090
  • 37 + 138053 = 138090
  • 83 + 138007 = 138090
  • 97 + 137993 = 138090
  • 107 + 137983 = 138090

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭪
CJK Unified Ideograph-21B6A
U+21B6A
Other letter (Lo)

UTF-8 encoding: F0 A1 AD AA (4 bytes).

Hex color
#021B6A
RGB(2, 27, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.106.

Address
0.2.27.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.106

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 138,090 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 138090 first appears in π at position 434,230 of the decimal expansion (the 434,230ordinal-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°.