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138,020

138,020 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.).

138,020 (one hundred thirty-eight thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 67 × 103. Its proper divisors sum to 159,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B24.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
20,831
Recamán's sequence
a(492,787) = 138,020
Square (n²)
19,049,520,400
Cube (n³)
2,629,214,805,608,000
Divisor count
24
σ(n) — sum of divisors
297,024
φ(n) — Euler's totient
53,856
Sum of prime factors
179

Primality

Prime factorization: 2 2 × 5 × 67 × 103

Nearest primes: 138,007 (−13) · 138,041 (+21)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 67 · 103 · 134 · 206 · 268 · 335 · 412 · 515 · 670 · 1030 · 1340 · 2060 · 6901 · 13802 · 27604 · 34505 · 69010 (half) · 138020
Aliquot sum (sum of proper divisors): 159,004
Factor pairs (a × b = 138,020)
1 × 138020
2 × 69010
4 × 34505
5 × 27604
10 × 13802
20 × 6901
67 × 2060
103 × 1340
134 × 1030
206 × 670
268 × 515
335 × 412
First multiples
138,020 · 276,040 (double) · 414,060 · 552,080 · 690,100 · 828,120 · 966,140 · 1,104,160 · 1,242,180 · 1,380,200

Sums & aliquot sequence

As consecutive integers: 27,602 + 27,603 + 27,604 + 27,605 + 27,606 17,249 + 17,250 + … + 17,256 3,431 + 3,432 + … + 3,470 2,027 + 2,028 + … + 2,093
Aliquot sequence: 138,020 159,004 122,340 220,380 396,852 529,164 808,536 1,250,664 2,057,496 3,998,184 6,164,856 10,960,344 18,916,776 32,316,354 57,263,166 70,270,914 91,199,166 — unresolved within range

Continued fraction of √n

√138,020 = [371; (1, 1, 23, 2, 7, 3, 67, 4, 2, 1, 1, 1, 1, 1, 2, 2, 1, 14, 2, 5, 1, 1, 1, 10, …)]

Representations

In words
one hundred thirty-eight thousand twenty
Ordinal
138020th
Binary
100001101100100100
Octal
415444
Hexadecimal
0x21B24
Base64
Ahsk
One's complement
4,294,829,275 (32-bit)
Scientific notation
1.3802 × 10⁵
As a duration
138,020 s = 1 day, 14 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 21000022212
quaternary (4) 201230210
quinary (5) 13404040
senary (6) 2542552
septenary (7) 1113251
nonary (9) 230285
undecimal (11) 94773
duodecimal (12) 67a58
tridecimal (13) 4aa8c
tetradecimal (14) 38428
pentadecimal (15) 2ad65

As an angle

138,020° = 383 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ρληκʹ
Mayan (base 20)
𝋱·𝋥·𝋡·𝋠
Chinese
一十三萬八千零二十
Chinese (financial)
壹拾參萬捌仟零貳拾
In other modern scripts
Eastern Arabic ١٣٨٠٢٠ Devanagari १३८०२० Bengali ১৩৮০২০ Tamil ௧௩௮௦௨௦ Thai ๑๓๘๐๒๐ Tibetan ༡༣༨༠༢༠ Khmer ១៣៨០២០ Lao ໑໓໘໐໒໐ Burmese ၁၃၈၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138020, here are decompositions:

  • 13 + 138007 = 138020
  • 37 + 137983 = 138020
  • 73 + 137947 = 138020
  • 79 + 137941 = 138020
  • 109 + 137911 = 138020
  • 151 + 137869 = 138020
  • 193 + 137827 = 138020
  • 229 + 137791 = 138020

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬤
CJK Unified Ideograph-21B24
U+21B24
Other letter (Lo)

UTF-8 encoding: F0 A1 AC A4 (4 bytes).

Hex color
#021B24
RGB(2, 27, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.36.

Address
0.2.27.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.36

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 138,020 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 138020 first appears in π at position 292,194 of the decimal expansion (the 292,194ordinal-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

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