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138,460

138,460 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.).

138,460 (one hundred thirty-eight thousand four hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 23 × 43. Its proper divisors sum to 216,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CDC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical 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
64,831
Recamán's sequence
a(491,907) = 138,460
Square (n²)
19,171,171,600
Cube (n³)
2,654,440,419,736,000
Divisor count
48
σ(n) — sum of divisors
354,816
φ(n) — Euler's totient
44,352
Sum of prime factors
82

Primality

Prime factorization: 2 2 × 5 × 7 × 23 × 43

Nearest primes: 138,451 (−9) · 138,461 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 28 · 35 · 43 · 46 · 70 · 86 · 92 · 115 · 140 · 161 · 172 · 215 · 230 · 301 · 322 · 430 · 460 · 602 · 644 · 805 · 860 · 989 · 1204 · 1505 · 1610 · 1978 · 3010 · 3220 · 3956 · 4945 · 6020 · 6923 · 9890 · 13846 · 19780 · 27692 · 34615 · 69230 (half) · 138460
Aliquot sum (sum of proper divisors): 216,356
Factor pairs (a × b = 138,460)
1 × 138460
2 × 69230
4 × 34615
5 × 27692
7 × 19780
10 × 13846
14 × 9890
20 × 6923
23 × 6020
28 × 4945
35 × 3956
43 × 3220
46 × 3010
70 × 1978
86 × 1610
92 × 1505
115 × 1204
140 × 989
161 × 860
172 × 805
215 × 644
230 × 602
301 × 460
322 × 430
First multiples
138,460 · 276,920 (double) · 415,380 · 553,840 · 692,300 · 830,760 · 969,220 · 1,107,680 · 1,246,140 · 1,384,600

Sums & aliquot sequence

As consecutive integers: 27,690 + 27,691 + 27,692 + 27,693 + 27,694 19,777 + 19,778 + … + 19,783 17,304 + 17,305 + … + 17,311 6,009 + 6,010 + … + 6,031
Aliquot sequence: 138,460 216,356 216,412 227,108 227,164 267,596 296,884 324,044 337,204 337,260 856,212 1,427,244 2,674,644 4,881,324 8,135,764 10,454,444 14,615,524 — unresolved within range

Continued fraction of √n

√138,460 = [372; (9, 1, 3, 1, 3, 1, 1, 3, 1, 19, 1, 8, 4, 4, 6, 4, 4, 8, 1, 19, 1, 3, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred sixty
Ordinal
138460th
Binary
100001110011011100
Octal
416334
Hexadecimal
0x21CDC
Base64
Ahzc
One's complement
4,294,828,835 (32-bit)
Scientific notation
1.3846 × 10⁵
As a duration
138,460 s = 1 day, 14 hours, 27 minutes, 40 seconds
In other bases
ternary (3) 21000221011
quaternary (4) 201303130
quinary (5) 13412320
senary (6) 2545004
septenary (7) 1114450
nonary (9) 230834
undecimal (11) 95033
duodecimal (12) 68164
tridecimal (13) 4b03a
tetradecimal (14) 38660
pentadecimal (15) 2b05a

As an angle

138,460° = 384 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληυξʹ
Mayan (base 20)
𝋱·𝋦·𝋣·𝋠
Chinese
一十三萬八千四百六十
Chinese (financial)
壹拾參萬捌仟肆佰陸拾
In other modern scripts
Eastern Arabic ١٣٨٤٦٠ Devanagari १३८४६० Bengali ১৩৮৪৬০ Tamil ௧௩௮௪௬௦ Thai ๑๓๘๔๖๐ Tibetan ༡༣༨༤༦༠ Khmer ១៣៨៤៦០ Lao ໑໓໘໔໖໐ Burmese ၁၃၈၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138460, here are decompositions:

  • 11 + 138449 = 138460
  • 53 + 138407 = 138460
  • 59 + 138401 = 138460
  • 71 + 138389 = 138460
  • 89 + 138371 = 138460
  • 137 + 138323 = 138460
  • 149 + 138311 = 138460
  • 251 + 138209 = 138460

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳜
CJK Unified Ideograph-21Cdc
U+21CDC
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 9C (4 bytes).

Hex color
#021CDC
RGB(2, 28, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.220.

Address
0.2.28.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.220

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 138,460 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