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138,064

138,064 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.).

138,064 (one hundred thirty-eight thousand sixty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,629. Written other ways, in hexadecimal, 0x21B50.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
460,831
Recamán's sequence
a(492,699) = 138,064
Square (n²)
19,061,668,096
Cube (n³)
2,631,730,144,006,144
Divisor count
10
σ(n) — sum of divisors
267,530
φ(n) — Euler's totient
69,024
Sum of prime factors
8,637

Primality

Prime factorization: 2 4 × 8629

Nearest primes: 138,059 (−5) · 138,071 (+7)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8629 · 17258 · 34516 · 69032 (half) · 138064
Aliquot sum (sum of proper divisors): 129,466
Factor pairs (a × b = 138,064)
1 × 138064
2 × 69032
4 × 34516
8 × 17258
16 × 8629
First multiples
138,064 · 276,128 (double) · 414,192 · 552,256 · 690,320 · 828,384 · 966,448 · 1,104,512 · 1,242,576 · 1,380,640

Sums & aliquot sequence

As a sum of two squares: 92² + 360²
As consecutive integers: 4,299 + 4,300 + … + 4,330
Aliquot sequence: 138,064 129,466 75,014 37,510 39,098 20,410 19,406 10,738 9,422 6,754 4,334 2,794 1,814 910 1,106 814 554 — unresolved within range

Continued fraction of √n

√138,064 = [371; (1, 1, 3, 11, 6, 1, 3, 1, 4, 2, 2, 15, 13, 2, 4, 5, 4, 1, 31, 1, 1, 82, 15, 1, …)]

Representations

In words
one hundred thirty-eight thousand sixty-four
Ordinal
138064th
Binary
100001101101010000
Octal
415520
Hexadecimal
0x21B50
Base64
AhtQ
One's complement
4,294,829,231 (32-bit)
Scientific notation
1.38064 × 10⁵
As a duration
138,064 s = 1 day, 14 hours, 21 minutes, 4 seconds
In other bases
ternary (3) 21000101111
quaternary (4) 201231100
quinary (5) 13404224
senary (6) 2543104
septenary (7) 1113343
nonary (9) 230344
undecimal (11) 94803
duodecimal (12) 67a94
tridecimal (13) 4aac4
tetradecimal (14) 3845a
pentadecimal (15) 2ad94

As an angle

138,064° = 383 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληξδʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋤
Chinese
一十三萬八千零六十四
Chinese (financial)
壹拾參萬捌仟零陸拾肆
In other modern scripts
Eastern Arabic ١٣٨٠٦٤ Devanagari १३८०६४ Bengali ১৩৮০৬৪ Tamil ௧௩௮௦௬௪ Thai ๑๓๘๐๖๔ Tibetan ༡༣༨༠༦༤ Khmer ១៣៨០៦៤ Lao ໑໓໘໐໖໔ Burmese ၁၃၈၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138064, here are decompositions:

  • 5 + 138059 = 138064
  • 11 + 138053 = 138064
  • 23 + 138041 = 138064
  • 71 + 137993 = 138064
  • 107 + 137957 = 138064
  • 131 + 137933 = 138064
  • 137 + 137927 = 138064
  • 191 + 137873 = 138064

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭐
CJK Unified Ideograph-21B50
U+21B50
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 90 (4 bytes).

Hex color
#021B50
RGB(2, 27, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.80.

Address
0.2.27.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.80

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 138,064 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 138064 first appears in π at position 236,740 of the decimal expansion (the 236,740ordinal-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