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138,520

138,520 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.).

138,520 (one hundred thirty-eight thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,463. Its proper divisors sum to 173,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D18.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
25,831
Recamán's sequence
a(491,787) = 138,520
Square (n²)
19,187,790,400
Cube (n³)
2,657,892,726,208,000
Divisor count
16
σ(n) — sum of divisors
311,760
φ(n) — Euler's totient
55,392
Sum of prime factors
3,474

Primality

Prime factorization: 2 3 × 5 × 3463

Nearest primes: 138,517 (−3) · 138,547 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3463 · 6926 · 13852 · 17315 · 27704 · 34630 · 69260 (half) · 138520
Aliquot sum (sum of proper divisors): 173,240
Factor pairs (a × b = 138,520)
1 × 138520
2 × 69260
4 × 34630
5 × 27704
8 × 17315
10 × 13852
20 × 6926
40 × 3463
First multiples
138,520 · 277,040 (double) · 415,560 · 554,080 · 692,600 · 831,120 · 969,640 · 1,108,160 · 1,246,680 · 1,385,200

Sums & aliquot sequence

As consecutive integers: 27,702 + 27,703 + 27,704 + 27,705 + 27,706 8,650 + 8,651 + … + 8,665 1,692 + 1,693 + … + 1,771
Aliquot sequence: 138,520 173,240 228,520 306,080 417,412 317,784 476,736 888,768 1,660,376 1,452,844 1,089,640 1,362,140 1,836,580 2,046,740 2,251,456 2,267,712 4,494,784 — unresolved within range

Continued fraction of √n

√138,520 = [372; (5, 2, 8, 2, 2, 5, 2, 1, 2, 1, 3, 5, 1, 14, 2, 1, 5, 1, 2, 1, 8, 8, 4, 82, …)]

Representations

In words
one hundred thirty-eight thousand five hundred twenty
Ordinal
138520th
Binary
100001110100011000
Octal
416430
Hexadecimal
0x21D18
Base64
Ah0Y
One's complement
4,294,828,775 (32-bit)
Scientific notation
1.3852 × 10⁵
As a duration
138,520 s = 1 day, 14 hours, 28 minutes, 40 seconds
In other bases
ternary (3) 21001000101
quaternary (4) 201310120
quinary (5) 13413040
senary (6) 2545144
septenary (7) 1114564
nonary (9) 231011
undecimal (11) 95088
duodecimal (12) 681b4
tridecimal (13) 4b085
tetradecimal (14) 386a4
pentadecimal (15) 2b09a

As an angle

138,520° = 384 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρληφκʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋠
Chinese
一十三萬八千五百二十
Chinese (financial)
壹拾參萬捌仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٨٥٢٠ Devanagari १३८५२० Bengali ১৩৮৫২০ Tamil ௧௩௮௫௨௦ Thai ๑๓๘๕๒๐ Tibetan ༡༣༨༥༢༠ Khmer ១៣៨៥២០ Lao ໑໓໘໕໒໐ Burmese ၁၃၈၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138520, here are decompositions:

  • 3 + 138517 = 138520
  • 23 + 138497 = 138520
  • 59 + 138461 = 138520
  • 71 + 138449 = 138520
  • 113 + 138407 = 138520
  • 131 + 138389 = 138520
  • 149 + 138371 = 138520
  • 197 + 138323 = 138520

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴘
CJK Unified Ideograph-21D18
U+21D18
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 98 (4 bytes).

Hex color
#021D18
RGB(2, 29, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.24.

Address
0.2.29.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.24

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 138,520 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