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138,820

138,820 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.).

138,820 (one hundred thirty-eight thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 631. Its proper divisors sum to 179,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E44.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
28,831
Recamán's sequence
a(491,187) = 138,820
Square (n²)
19,270,992,400
Cube (n³)
2,675,199,164,968,000
Divisor count
24
σ(n) — sum of divisors
318,528
φ(n) — Euler's totient
50,400
Sum of prime factors
651

Primality

Prime factorization: 2 2 × 5 × 11 × 631

Nearest primes: 138,799 (−21) · 138,821 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 631 · 1262 · 2524 · 3155 · 6310 · 6941 · 12620 · 13882 · 27764 · 34705 · 69410 (half) · 138820
Aliquot sum (sum of proper divisors): 179,708
Factor pairs (a × b = 138,820)
1 × 138820
2 × 69410
4 × 34705
5 × 27764
10 × 13882
11 × 12620
20 × 6941
22 × 6310
44 × 3155
55 × 2524
110 × 1262
220 × 631
First multiples
138,820 · 277,640 (double) · 416,460 · 555,280 · 694,100 · 832,920 · 971,740 · 1,110,560 · 1,249,380 · 1,388,200

Sums & aliquot sequence

As consecutive integers: 27,762 + 27,763 + 27,764 + 27,765 + 27,766 17,349 + 17,350 + … + 17,356 12,615 + 12,616 + … + 12,625 3,451 + 3,452 + … + 3,490
Aliquot sequence: 138,820 179,708 134,788 108,924 154,836 316,908 484,256 497,284 446,204 405,724 368,924 282,076 217,332 332,126 166,066 88,958 51,562 — unresolved within range

Continued fraction of √n

√138,820 = [372; (1, 1, 2, 2, 2, 1, 2, 2, 1, 7, 1, 2, 38, 1, 6, 1, 6, 1, 1, 1, 7, 9, 14, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand eight hundred twenty
Ordinal
138820th
Binary
100001111001000100
Octal
417104
Hexadecimal
0x21E44
Base64
Ah5E
One's complement
4,294,828,475 (32-bit)
Scientific notation
1.3882 × 10⁵
As a duration
138,820 s = 1 day, 14 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 21001102111
quaternary (4) 201321010
quinary (5) 13420240
senary (6) 2550404
septenary (7) 1115503
nonary (9) 231374
undecimal (11) 95330
duodecimal (12) 68404
tridecimal (13) 4b256
tetradecimal (14) 3883a
pentadecimal (15) 2b1ea

As an angle

138,820° = 385 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρληωκʹ
Mayan (base 20)
𝋱·𝋧·𝋡·𝋠
Chinese
一十三萬八千八百二十
Chinese (financial)
壹拾參萬捌仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٣٨٨٢٠ Devanagari १३८८२० Bengali ১৩৮৮২০ Tamil ௧௩௮௮௨௦ Thai ๑๓๘๘๒๐ Tibetan ༡༣༨༨༢༠ Khmer ១៣៨៨២០ Lao ໑໓໘໘໒໐ Burmese ၁၃၈၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138820, here are decompositions:

  • 23 + 138797 = 138820
  • 89 + 138731 = 138820
  • 137 + 138683 = 138820
  • 173 + 138647 = 138820
  • 179 + 138641 = 138820
  • 191 + 138629 = 138820
  • 233 + 138587 = 138820
  • 239 + 138581 = 138820

Showing the first eight; more decompositions exist.

Unicode codepoint
𡹄
CJK Unified Ideograph-21E44
U+21E44
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 84 (4 bytes).

Hex color
#021E44
RGB(2, 30, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.68.

Address
0.2.30.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.68

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 138,820 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