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138,160

138,160 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.).

138,160 (one hundred thirty-eight thousand one hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 157. Its proper divisors sum to 214,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BB0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number 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
61,831
Recamán's sequence
a(492,507) = 138,160
Square (n²)
19,088,185,600
Cube (n³)
2,637,223,722,496,000
Divisor count
40
σ(n) — sum of divisors
352,656
φ(n) — Euler's totient
49,920
Sum of prime factors
181

Primality

Prime factorization: 2 4 × 5 × 11 × 157

Nearest primes: 138,157 (−3) · 138,163 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 157 · 176 · 220 · 314 · 440 · 628 · 785 · 880 · 1256 · 1570 · 1727 · 2512 · 3140 · 3454 · 6280 · 6908 · 8635 · 12560 · 13816 · 17270 · 27632 · 34540 · 69080 (half) · 138160
Aliquot sum (sum of proper divisors): 214,496
Factor pairs (a × b = 138,160)
1 × 138160
2 × 69080
4 × 34540
5 × 27632
8 × 17270
10 × 13816
11 × 12560
16 × 8635
20 × 6908
22 × 6280
40 × 3454
44 × 3140
55 × 2512
80 × 1727
88 × 1570
110 × 1256
157 × 880
176 × 785
220 × 628
314 × 440
First multiples
138,160 · 276,320 (double) · 414,480 · 552,640 · 690,800 · 828,960 · 967,120 · 1,105,280 · 1,243,440 · 1,381,600

Sums & aliquot sequence

As consecutive integers: 27,630 + 27,631 + 27,632 + 27,633 + 27,634 12,555 + 12,556 + … + 12,565 4,302 + 4,303 + … + 4,333 2,485 + 2,486 + … + 2,539
Aliquot sequence: 138,160 214,496 207,856 231,848 209,932 169,524 285,840 676,524 902,060 1,166,356 901,164 1,393,044 1,970,316 3,052,884 4,070,540 4,850,260 5,665,196 — unresolved within range

Continued fraction of √n

√138,160 = [371; (1, 2, 3, 8, 18, 1, 15, 1, 18, 8, 3, 2, 1, 742)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred sixty
Ordinal
138160th
Binary
100001101110110000
Octal
415660
Hexadecimal
0x21BB0
Base64
Ahuw
One's complement
4,294,829,135 (32-bit)
Scientific notation
1.3816 × 10⁵
As a duration
138,160 s = 1 day, 14 hours, 22 minutes, 40 seconds
In other bases
ternary (3) 21000112001
quaternary (4) 201232300
quinary (5) 13410120
senary (6) 2543344
septenary (7) 1113541
nonary (9) 230461
undecimal (11) 94890
duodecimal (12) 67b54
tridecimal (13) 4ab69
tetradecimal (14) 384c8
pentadecimal (15) 2ae0a

As an angle

138,160° = 383 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληρξʹ
Mayan (base 20)
𝋱·𝋥·𝋨·𝋠
Chinese
一十三萬八千一百六十
Chinese (financial)
壹拾參萬捌仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٣٨١٦٠ Devanagari १३८१६० Bengali ১৩৮১৬০ Tamil ௧௩௮௧௬௦ Thai ๑๓๘๑๖๐ Tibetan ༡༣༨༡༦༠ Khmer ១៣៨១៦០ Lao ໑໓໘໑໖໐ Burmese ၁၃၈၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138160, here are decompositions:

  • 3 + 138157 = 138160
  • 17 + 138143 = 138160
  • 47 + 138113 = 138160
  • 53 + 138107 = 138160
  • 59 + 138101 = 138160
  • 83 + 138077 = 138160
  • 89 + 138071 = 138160
  • 101 + 138059 = 138160

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮰
CJK Unified Ideograph-21Bb0
U+21BB0
Other letter (Lo)

UTF-8 encoding: F0 A1 AE B0 (4 bytes).

Hex color
#021BB0
RGB(2, 27, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.176.

Address
0.2.27.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.176

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 138,160 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