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138,620

138,620 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.).

138,620 (one hundred thirty-eight thousand six hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 29 × 239. Its proper divisors sum to 163,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D7C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
26,831
Recamán's sequence
a(491,587) = 138,620
Square (n²)
19,215,504,400
Cube (n³)
2,663,653,219,928,000
Divisor count
24
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
53,312
Sum of prime factors
277

Primality

Prime factorization: 2 2 × 5 × 29 × 239

Nearest primes: 138,617 (−3) · 138,629 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 29 · 58 · 116 · 145 · 239 · 290 · 478 · 580 · 956 · 1195 · 2390 · 4780 · 6931 · 13862 · 27724 · 34655 · 69310 (half) · 138620
Aliquot sum (sum of proper divisors): 163,780
Factor pairs (a × b = 138,620)
1 × 138620
2 × 69310
4 × 34655
5 × 27724
10 × 13862
20 × 6931
29 × 4780
58 × 2390
116 × 1195
145 × 956
239 × 580
290 × 478
First multiples
138,620 · 277,240 (double) · 415,860 · 554,480 · 693,100 · 831,720 · 970,340 · 1,108,960 · 1,247,580 · 1,386,200

Sums & aliquot sequence

As consecutive integers: 27,722 + 27,723 + 27,724 + 27,725 + 27,726 17,324 + 17,325 + … + 17,331 4,766 + 4,767 + … + 4,794 3,446 + 3,447 + … + 3,485
Aliquot sequence: 138,620 163,780 199,100 274,828 210,804 326,124 498,336 862,464 1,434,992 1,559,608 1,388,072 1,640,338 1,171,694 585,850 503,924 394,960 523,508 — unresolved within range

Continued fraction of √n

√138,620 = [372; (3, 6, 2, 148, 2, 6, 3, 744)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand six hundred twenty
Ordinal
138620th
Binary
100001110101111100
Octal
416574
Hexadecimal
0x21D7C
Base64
Ah18
One's complement
4,294,828,675 (32-bit)
Scientific notation
1.3862 × 10⁵
As a duration
138,620 s = 1 day, 14 hours, 30 minutes, 20 seconds
In other bases
ternary (3) 21001011002
quaternary (4) 201311330
quinary (5) 13413440
senary (6) 2545432
septenary (7) 1115066
nonary (9) 231132
undecimal (11) 95169
duodecimal (12) 68278
tridecimal (13) 4b131
tetradecimal (14) 38736
pentadecimal (15) 2b115
Palindromic in base 9

As an angle

138,620° = 385 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρληχκʹ
Mayan (base 20)
𝋱·𝋦·𝋫·𝋠
Chinese
一十三萬八千六百二十
Chinese (financial)
壹拾參萬捌仟陸佰貳拾
In other modern scripts
Eastern Arabic ١٣٨٦٢٠ Devanagari १३८६२० Bengali ১৩৮৬২০ Tamil ௧௩௮௬௨௦ Thai ๑๓๘๖๒๐ Tibetan ༡༣༨༦༢༠ Khmer ១៣៨៦២០ Lao ໑໓໘໖໒໐ Burmese ၁၃၈၆၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138620, here are decompositions:

  • 3 + 138617 = 138620
  • 43 + 138577 = 138620
  • 61 + 138559 = 138620
  • 73 + 138547 = 138620
  • 103 + 138517 = 138620
  • 109 + 138511 = 138620
  • 127 + 138493 = 138620
  • 151 + 138469 = 138620

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵼
CJK Unified Ideograph-21D7C
U+21D7C
Other letter (Lo)

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

Hex color
#021D7C
RGB(2, 29, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.124.

Address
0.2.29.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.124

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 138,620 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.