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138,560

138,560 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.).

138,560 (one hundred thirty-eight thousand five hundred sixty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 433. Its proper divisors sum to 192,148, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D40.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
65,831
Recamán's sequence
a(491,707) = 138,560
Square (n²)
19,198,873,600
Cube (n³)
2,660,195,926,016,000
Divisor count
28
σ(n) — sum of divisors
330,708
φ(n) — Euler's totient
55,296
Sum of prime factors
450

Primality

Prime factorization: 2 6 × 5 × 433

Nearest primes: 138,559 (−1) · 138,563 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 433 · 866 · 1732 · 2165 · 3464 · 4330 · 6928 · 8660 · 13856 · 17320 · 27712 · 34640 · 69280 (half) · 138560
Aliquot sum (sum of proper divisors): 192,148
Factor pairs (a × b = 138,560)
1 × 138560
2 × 69280
4 × 34640
5 × 27712
8 × 17320
10 × 13856
16 × 8660
20 × 6928
32 × 4330
40 × 3464
64 × 2165
80 × 1732
160 × 866
320 × 433
First multiples
138,560 · 277,120 (double) · 415,680 · 554,240 · 692,800 · 831,360 · 969,920 · 1,108,480 · 1,247,040 · 1,385,600

Sums & aliquot sequence

As a sum of two squares: 56² + 368² = 176² + 328²
As consecutive integers: 27,710 + 27,711 + 27,712 + 27,713 + 27,714 1,019 + 1,020 + … + 1,146 104 + 105 + … + 536
Aliquot sequence: 138,560 192,148 178,390 142,730 151,030 145,754 113,446 58,418 29,212 23,148 35,456 35,434 25,334 13,546 8,378 4,582 2,618 — unresolved within range

Continued fraction of √n

√138,560 = [372; (4, 4, 2, 1, 2, 17, 1, 3, 1, 2, 9, 15, 11, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred sixty
Ordinal
138560th
Binary
100001110101000000
Octal
416500
Hexadecimal
0x21D40
Base64
Ah1A
One's complement
4,294,828,735 (32-bit)
Scientific notation
1.3856 × 10⁵
As a duration
138,560 s = 1 day, 14 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 21001001212
quaternary (4) 201311000
quinary (5) 13413220
senary (6) 2545252
septenary (7) 1114652
nonary (9) 231055
undecimal (11) 95114
duodecimal (12) 68228
tridecimal (13) 4b0b6
tetradecimal (14) 386d2
pentadecimal (15) 2b0c5

As an angle

138,560° = 384 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληφξʹ
Mayan (base 20)
𝋱·𝋦·𝋨·𝋠
Chinese
一十三萬八千五百六十
Chinese (financial)
壹拾參萬捌仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٣٨٥٦٠ Devanagari १३८५६० Bengali ১৩৮৫৬০ Tamil ௧௩௮௫௬௦ Thai ๑๓๘๕๖๐ Tibetan ༡༣༨༥༦༠ Khmer ១៣៨៥៦០ Lao ໑໓໘໕໖໐ Burmese ၁၃၈၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138560, here are decompositions:

  • 13 + 138547 = 138560
  • 43 + 138517 = 138560
  • 67 + 138493 = 138560
  • 109 + 138451 = 138560
  • 127 + 138433 = 138560
  • 157 + 138403 = 138560
  • 211 + 138349 = 138560
  • 223 + 138337 = 138560

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵀
CJK Unified Ideograph-21D40
U+21D40
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 80 (4 bytes).

Hex color
#021D40
RGB(2, 29, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.64.

Address
0.2.29.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.64

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 138,560 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.