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138,890

138,890 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.).

138,890 (one hundred thirty-eight thousand eight hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 17 × 19 × 43. Its proper divisors sum to 146,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E8A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
98,831
Recamán's sequence
a(491,047) = 138,890
Square (n²)
19,290,432,100
Cube (n³)
2,679,248,114,369,000
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
48,384
Sum of prime factors
86

Primality

Prime factorization: 2 × 5 × 17 × 19 × 43

Nearest primes: 138,889 (−1) · 138,893 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 17 · 19 · 34 · 38 · 43 · 85 · 86 · 95 · 170 · 190 · 215 · 323 · 430 · 646 · 731 · 817 · 1462 · 1615 · 1634 · 3230 · 3655 · 4085 · 7310 · 8170 · 13889 · 27778 · 69445 (half) · 138890
Aliquot sum (sum of proper divisors): 146,230
Factor pairs (a × b = 138,890)
1 × 138890
2 × 69445
5 × 27778
10 × 13889
17 × 8170
19 × 7310
34 × 4085
38 × 3655
43 × 3230
85 × 1634
86 × 1615
95 × 1462
170 × 817
190 × 731
215 × 646
323 × 430
First multiples
138,890 · 277,780 (double) · 416,670 · 555,560 · 694,450 · 833,340 · 972,230 · 1,111,120 · 1,250,010 · 1,388,900

Sums & aliquot sequence

As consecutive integers: 34,721 + 34,722 + 34,723 + 34,724 27,776 + 27,777 + 27,778 + 27,779 + 27,780 8,162 + 8,163 + … + 8,178 7,301 + 7,302 + … + 7,319
Aliquot sequence: 138,890 146,230 154,730 123,802 95,078 48,994 36,542 24,106 14,234 9,094 4,550 5,866 4,214 3,310 2,666 1,558 962 — unresolved within range

Continued fraction of √n

√138,890 = [372; (1, 2, 8, 2, 1, 744)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand eight hundred ninety
Ordinal
138890th
Binary
100001111010001010
Octal
417212
Hexadecimal
0x21E8A
Base64
Ah6K
One's complement
4,294,828,405 (32-bit)
Scientific notation
1.3889 × 10⁵
As a duration
138,890 s = 1 day, 14 hours, 34 minutes, 50 seconds
In other bases
ternary (3) 21001112002
quaternary (4) 201322022
quinary (5) 13421030
senary (6) 2551002
septenary (7) 1115633
nonary (9) 231462
undecimal (11) 95394
duodecimal (12) 68462
tridecimal (13) 4b2ab
tetradecimal (14) 3888a
pentadecimal (15) 2b245

As an angle

138,890° = 385 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληωϟʹ
Mayan (base 20)
𝋱·𝋧·𝋤·𝋪
Chinese
一十三萬八千八百九十
Chinese (financial)
壹拾參萬捌仟捌佰玖拾
In other modern scripts
Eastern Arabic ١٣٨٨٩٠ Devanagari १३८८९० Bengali ১৩৮৮৯০ Tamil ௧௩௮௮௯௦ Thai ๑๓๘๘๙๐ Tibetan ༡༣༨༨༩༠ Khmer ១៣៨៨៩០ Lao ໑໓໘໘໙໐ Burmese ၁၃၈၈၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138890, here are decompositions:

  • 7 + 138883 = 138890
  • 61 + 138829 = 138890
  • 97 + 138793 = 138890
  • 127 + 138763 = 138890
  • 151 + 138739 = 138890
  • 163 + 138727 = 138890
  • 211 + 138679 = 138890
  • 229 + 138661 = 138890

Showing the first eight; more decompositions exist.

Unicode codepoint
𡺊
CJK Unified Ideograph-21E8A
U+21E8A
Other letter (Lo)

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

Hex color
#021E8A
RGB(2, 30, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.138.

Address
0.2.30.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.138

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 138,890 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 138890 first appears in π at position 270,592 of the decimal expansion (the 270,592ordinal-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

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