number.wiki
Live analysis

138,060

138,060 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.).

138,060 (one hundred thirty-eight thousand sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 13 × 59. Its proper divisors sum to 320,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B4C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
60,831
Recamán's sequence
a(492,707) = 138,060
Square (n²)
19,060,563,600
Cube (n³)
2,631,501,410,616,000
Divisor count
72
σ(n) — sum of divisors
458,640
φ(n) — Euler's totient
33,408
Sum of prime factors
87

Primality

Prime factorization: 2 2 × 3 2 × 5 × 13 × 59

Nearest primes: 138,059 (−1) · 138,071 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 30 · 36 · 39 · 45 · 52 · 59 · 60 · 65 · 78 · 90 · 117 · 118 · 130 · 156 · 177 · 180 · 195 · 234 · 236 · 260 · 295 · 354 · 390 · 468 · 531 · 585 · 590 · 708 · 767 · 780 · 885 · 1062 · 1170 · 1180 · 1534 · 1770 · 2124 · 2301 · 2340 · 2655 · 3068 · 3540 · 3835 · 4602 · 5310 · 6903 · 7670 · 9204 · 10620 · 11505 · 13806 · 15340 · 23010 · 27612 · 34515 · 46020 · 69030 (half) · 138060
Aliquot sum (sum of proper divisors): 320,580
Factor pairs (a × b = 138,060)
1 × 138060
2 × 69030
3 × 46020
4 × 34515
5 × 27612
6 × 23010
9 × 15340
10 × 13806
12 × 11505
13 × 10620
15 × 9204
18 × 7670
20 × 6903
26 × 5310
30 × 4602
36 × 3835
39 × 3540
45 × 3068
52 × 2655
59 × 2340
60 × 2301
65 × 2124
78 × 1770
90 × 1534
117 × 1180
118 × 1170
130 × 1062
156 × 885
177 × 780
180 × 767
195 × 708
234 × 590
236 × 585
260 × 531
295 × 468
354 × 390
First multiples
138,060 · 276,120 (double) · 414,180 · 552,240 · 690,300 · 828,360 · 966,420 · 1,104,480 · 1,242,540 · 1,380,600

Sums & aliquot sequence

As consecutive integers: 46,019 + 46,020 + 46,021 27,610 + 27,611 + 27,612 + 27,613 + 27,614 17,254 + 17,255 + … + 17,261 15,336 + 15,337 + … + 15,344
Aliquot sequence: 138,060 320,580 734,292 1,319,788 989,848 866,132 657,964 505,380 909,852 1,213,164 2,012,436 3,074,646 3,206,058 3,343,062 3,573,978 4,207,206 4,789,914 — unresolved within range

Continued fraction of √n

√138,060 = [371; (1, 1, 3, 2, 1, 1, 3, 1, 1, 3, 1, 1, 5, 8, 1, 184, 1, 8, 5, 1, 1, 3, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand sixty
Ordinal
138060th
Binary
100001101101001100
Octal
415514
Hexadecimal
0x21B4C
Base64
AhtM
One's complement
4,294,829,235 (32-bit)
Scientific notation
1.3806 × 10⁵
As a duration
138,060 s = 1 day, 14 hours, 21 minutes
In other bases
ternary (3) 21000101100
quaternary (4) 201231030
quinary (5) 13404220
senary (6) 2543100
septenary (7) 1113336
nonary (9) 230340
undecimal (11) 947aa
duodecimal (12) 67a90
tridecimal (13) 4aac0
tetradecimal (14) 38456
pentadecimal (15) 2ad90
Palindromic in base 8

As an angle

138,060° = 383 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληξʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋠
Chinese
一十三萬八千零六十
Chinese (financial)
壹拾參萬捌仟零陸拾
In other modern scripts
Eastern Arabic ١٣٨٠٦٠ Devanagari १३८०६० Bengali ১৩৮০৬০ Tamil ௧௩௮௦௬௦ Thai ๑๓๘๐๖๐ Tibetan ༡༣༨༠༦༠ Khmer ១៣៨០៦០ Lao ໑໓໘໐໖໐ Burmese ၁၃၈၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138060, here are decompositions:

  • 7 + 138053 = 138060
  • 19 + 138041 = 138060
  • 53 + 138007 = 138060
  • 61 + 137999 = 138060
  • 67 + 137993 = 138060
  • 103 + 137957 = 138060
  • 113 + 137947 = 138060
  • 127 + 137933 = 138060

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭌
CJK Unified Ideograph-21B4C
U+21B4C
Other letter (Lo)

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

Hex color
#021B4C
RGB(2, 27, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.76.

Address
0.2.27.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.76

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 138,060 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.