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138,928

138,928 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.).

138,928 (one hundred thirty-eight thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 457. Its proper divisors sum to 145,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EB0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
3,456
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
829,831
Recamán's sequence
a(490,971) = 138,928
Square (n²)
19,300,989,184
Cube (n³)
2,681,447,825,354,752
Divisor count
20
σ(n) — sum of divisors
283,960
φ(n) — Euler's totient
65,664
Sum of prime factors
484

Primality

Prime factorization: 2 4 × 19 × 457

Nearest primes: 138,923 (−5) · 138,937 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 457 · 914 · 1828 · 3656 · 7312 · 8683 · 17366 · 34732 · 69464 (half) · 138928
Aliquot sum (sum of proper divisors): 145,032
Factor pairs (a × b = 138,928)
1 × 138928
2 × 69464
4 × 34732
8 × 17366
16 × 8683
19 × 7312
38 × 3656
76 × 1828
152 × 914
304 × 457
First multiples
138,928 · 277,856 (double) · 416,784 · 555,712 · 694,640 · 833,568 · 972,496 · 1,111,424 · 1,250,352 · 1,389,280

Sums & aliquot sequence

As consecutive integers: 7,303 + 7,304 + … + 7,321 4,326 + 4,327 + … + 4,357 76 + 77 + … + 532
Aliquot sequence: 138,928 145,032 217,608 326,472 506,808 865,992 1,299,048 1,984,152 3,084,648 6,245,112 9,367,728 14,832,360 33,373,980 71,143,524 122,271,516 194,356,068 259,141,452 — unresolved within range

Continued fraction of √n

√138,928 = [372; (1, 2, 1, 2, 2, 4, 2, 4, 2, 2, 1, 2, 1, 744)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred twenty-eight
Ordinal
138928th
Binary
100001111010110000
Octal
417260
Hexadecimal
0x21EB0
Base64
Ah6w
One's complement
4,294,828,367 (32-bit)
Scientific notation
1.38928 × 10⁵
As a duration
138,928 s = 1 day, 14 hours, 35 minutes, 28 seconds
In other bases
ternary (3) 21001120111
quaternary (4) 201322300
quinary (5) 13421203
senary (6) 2551104
septenary (7) 1116016
nonary (9) 231514
undecimal (11) 95419
duodecimal (12) 68494
tridecimal (13) 4b30a
tetradecimal (14) 388b6
pentadecimal (15) 2b26d

As an angle

138,928° = 385 × 360° + 328°
328° ≈ 5.725 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡκηʹ
Mayan (base 20)
𝋱·𝋧·𝋦·𝋨
Chinese
一十三萬八千九百二十八
Chinese (financial)
壹拾參萬捌仟玖佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨٩٢٨ Devanagari १३८९२८ Bengali ১৩৮৯২৮ Tamil ௧௩௮௯௨௮ Thai ๑๓๘๙๒๘ Tibetan ༡༣༨༩༢༨ Khmer ១៣៨៩២៨ Lao ໑໓໘໙໒໘ Burmese ၁၃၈၉၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138928, here are decompositions:

  • 5 + 138923 = 138928
  • 11 + 138917 = 138928
  • 29 + 138899 = 138928
  • 59 + 138869 = 138928
  • 107 + 138821 = 138928
  • 131 + 138797 = 138928
  • 197 + 138731 = 138928
  • 281 + 138647 = 138928

Showing the first eight; more decompositions exist.

Unicode codepoint
𡺰
CJK Unified Ideograph-21Eb0
U+21EB0
Other letter (Lo)

UTF-8 encoding: F0 A1 BA B0 (4 bytes).

Hex color
#021EB0
RGB(2, 30, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.176.

Address
0.2.30.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.176

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 138,928 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