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138,105

138,105 is a composite number, odd.

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.).

138,105 (one hundred thirty-eight thousand one hundred five) is an odd 6-digit number. It is a composite number with 40 divisors, and factors as 3⁴ × 5 × 11 × 31. Its proper divisors sum to 140,679, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B79.

Abundant Number Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
501,831
Recamán's sequence
a(492,617) = 138,105
Square (n²)
19,072,991,025
Cube (n³)
2,634,075,425,507,625
Divisor count
40
σ(n) — sum of divisors
278,784
φ(n) — Euler's totient
64,800
Sum of prime factors
59

Primality

Prime factorization: 3 4 × 5 × 11 × 31

Nearest primes: 138,101 (−4) · 138,107 (+2)

Divisors & multiples

All divisors (40)
1 · 3 · 5 · 9 · 11 · 15 · 27 · 31 · 33 · 45 · 55 · 81 · 93 · 99 · 135 · 155 · 165 · 279 · 297 · 341 · 405 · 465 · 495 · 837 · 891 · 1023 · 1395 · 1485 · 1705 · 2511 · 3069 · 4185 · 4455 · 5115 · 9207 · 12555 · 15345 · 27621 · 46035 · 138105
Aliquot sum (sum of proper divisors): 140,679
Factor pairs (a × b = 138,105)
1 × 138105
3 × 46035
5 × 27621
9 × 15345
11 × 12555
15 × 9207
27 × 5115
31 × 4455
33 × 4185
45 × 3069
55 × 2511
81 × 1705
93 × 1485
99 × 1395
135 × 1023
155 × 891
165 × 837
279 × 495
297 × 465
341 × 405
First multiples
138,105 · 276,210 (double) · 414,315 · 552,420 · 690,525 · 828,630 · 966,735 · 1,104,840 · 1,242,945 · 1,381,050

Sums & aliquot sequence

As consecutive integers: 69,052 + 69,053 46,034 + 46,035 + 46,036 27,619 + 27,620 + 27,621 + 27,622 + 27,623 23,015 + 23,016 + 23,017 + 23,018 + 23,019 + 23,020
Aliquot sequence: 138,105 140,679 126,081 56,049 34,959 12,913 387 185 43 1 0 — terminates at zero

Continued fraction of √n

√138,105 = [371; (1, 1, 1, 1, 1, 81, 1, 22, 1, 81, 1, 1, 1, 1, 1, 742)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred five
Ordinal
138105th
Binary
100001101101111001
Octal
415571
Hexadecimal
0x21B79
Base64
Aht5
One's complement
4,294,829,190 (32-bit)
Scientific notation
1.38105 × 10⁵
As a duration
138,105 s = 1 day, 14 hours, 21 minutes, 45 seconds
In other bases
ternary (3) 21000110000
quaternary (4) 201231321
quinary (5) 13404410
senary (6) 2543213
septenary (7) 1113432
nonary (9) 230400
undecimal (11) 94840
duodecimal (12) 67b09
tridecimal (13) 4ab26
tetradecimal (14) 38489
pentadecimal (15) 2adc0

As an angle

138,105° = 383 × 360° + 225°
225° ≈ 3.927 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρεʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋥
Chinese
一十三萬八千一百零五
Chinese (financial)
壹拾參萬捌仟壹佰零伍
In other modern scripts
Eastern Arabic ١٣٨١٠٥ Devanagari १३८१०५ Bengali ১৩৮১০৫ Tamil ௧௩௮௧௦௫ Thai ๑๓๘๑๐๕ Tibetan ༡༣༨༡༠༥ Khmer ១៣៨១០៥ Lao ໑໓໘໑໐໕ Burmese ၁၃၈၁၀၅

Also seen as

Unicode codepoint
𡭹
CJK Unified Ideograph-21B79
U+21B79
Other letter (Lo)

UTF-8 encoding: F0 A1 AD B9 (4 bytes).

Hex color
#021B79
RGB(2, 27, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.121.

Address
0.2.27.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.121

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 138,105 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°.