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138,592

138,592 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.).

138,592 (one hundred thirty-eight thousand five hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 61 × 71. Its proper divisors sum to 142,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D60.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,160
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
295,831
Recamán's sequence
a(491,643) = 138,592
Square (n²)
19,207,742,464
Cube (n³)
2,662,039,443,570,688
Divisor count
24
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
67,200
Sum of prime factors
142

Primality

Prime factorization: 2 5 × 61 × 71

Nearest primes: 138,587 (−5) · 138,599 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 61 · 71 · 122 · 142 · 244 · 284 · 488 · 568 · 976 · 1136 · 1952 · 2272 · 4331 · 8662 · 17324 · 34648 · 69296 (half) · 138592
Aliquot sum (sum of proper divisors): 142,640
Factor pairs (a × b = 138,592)
1 × 138592
2 × 69296
4 × 34648
8 × 17324
16 × 8662
32 × 4331
61 × 2272
71 × 1952
122 × 1136
142 × 976
244 × 568
284 × 488
First multiples
138,592 · 277,184 (double) · 415,776 · 554,368 · 692,960 · 831,552 · 970,144 · 1,108,736 · 1,247,328 · 1,385,920

Sums & aliquot sequence

As consecutive integers: 2,242 + 2,243 + … + 2,302 2,134 + 2,135 + … + 2,197 1,917 + 1,918 + … + 1,987
Aliquot sequence: 138,592 142,640 189,184 188,956 145,812 206,988 287,604 458,316 742,884 1,047,324 1,396,460 1,863,412 1,412,784 2,541,452 1,906,096 1,786,996 1,357,964 — unresolved within range

Continued fraction of √n

√138,592 = [372; (3, 1, 1, 2, 1, 2, 3, 1, 2, 2, 1, 9, 2, 82, 3, 1, 18, 2, 1, 14, 1, 5, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand five hundred ninety-two
Ordinal
138592nd
Binary
100001110101100000
Octal
416540
Hexadecimal
0x21D60
Base64
Ah1g
One's complement
4,294,828,703 (32-bit)
Scientific notation
1.38592 × 10⁵
As a duration
138,592 s = 1 day, 14 hours, 29 minutes, 52 seconds
In other bases
ternary (3) 21001010001
quaternary (4) 201311200
quinary (5) 13413332
senary (6) 2545344
septenary (7) 1115026
nonary (9) 231101
undecimal (11) 95143
duodecimal (12) 68254
tridecimal (13) 4b10c
tetradecimal (14) 38716
pentadecimal (15) 2b0e7

As an angle

138,592° = 384 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφϟβʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋬
Chinese
一十三萬八千五百九十二
Chinese (financial)
壹拾參萬捌仟伍佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٩٢ Devanagari १३८५९२ Bengali ১৩৮৫৯২ Tamil ௧௩௮௫௯௨ Thai ๑๓๘๕๙๒ Tibetan ༡༣༨༥༩༢ Khmer ១៣៨៥៩២ Lao ໑໓໘໕໙໒ Burmese ၁၃၈၅၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138592, here are decompositions:

  • 5 + 138587 = 138592
  • 11 + 138581 = 138592
  • 23 + 138569 = 138592
  • 29 + 138563 = 138592
  • 131 + 138461 = 138592
  • 191 + 138401 = 138592
  • 269 + 138323 = 138592
  • 281 + 138311 = 138592

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵠
CJK Unified Ideograph-21D60
U+21D60
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 A0 (4 bytes).

Hex color
#021D60
RGB(2, 29, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.96.

Address
0.2.29.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.96

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 138,592 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