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138,210

138,210 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.).

138,210 (one hundred thirty-eight thousand two hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 17 × 271. Its proper divisors sum to 214,302, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BE2.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
12,831
Recamán's sequence
a(492,407) = 138,210
Square (n²)
19,102,004,100
Cube (n³)
2,640,087,986,661,000
Divisor count
32
σ(n) — sum of divisors
352,512
φ(n) — Euler's totient
34,560
Sum of prime factors
298

Primality

Prime factorization: 2 × 3 × 5 × 17 × 271

Nearest primes: 138,209 (−1) · 138,239 (+29)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 17 · 30 · 34 · 51 · 85 · 102 · 170 · 255 · 271 · 510 · 542 · 813 · 1355 · 1626 · 2710 · 4065 · 4607 · 8130 · 9214 · 13821 · 23035 · 27642 · 46070 · 69105 (half) · 138210
Aliquot sum (sum of proper divisors): 214,302
Factor pairs (a × b = 138,210)
1 × 138210
2 × 69105
3 × 46070
5 × 27642
6 × 23035
10 × 13821
15 × 9214
17 × 8130
30 × 4607
34 × 4065
51 × 2710
85 × 1626
102 × 1355
170 × 813
255 × 542
271 × 510
First multiples
138,210 · 276,420 (double) · 414,630 · 552,840 · 691,050 · 829,260 · 967,470 · 1,105,680 · 1,243,890 · 1,382,100

Sums & aliquot sequence

As consecutive integers: 46,069 + 46,070 + 46,071 34,551 + 34,552 + 34,553 + 34,554 27,640 + 27,641 + 27,642 + 27,643 + 27,644 11,512 + 11,513 + … + 11,523
Aliquot sequence: 138,210 214,302 283,362 291,198 291,210 450,102 450,114 597,774 616,434 902,286 1,724,274 2,215,566 2,774,034 3,527,406 4,115,346 4,198,062 4,961,490 — unresolved within range

Continued fraction of √n

√138,210 = [371; (1, 3, 3, 1, 1, 1, 3, 1, 48, 1, 3, 1, 1, 1, 3, 3, 1, 742)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred ten
Ordinal
138210th
Binary
100001101111100010
Octal
415742
Hexadecimal
0x21BE2
Base64
Ahvi
One's complement
4,294,829,085 (32-bit)
Scientific notation
1.3821 × 10⁵
As a duration
138,210 s = 1 day, 14 hours, 23 minutes, 30 seconds
In other bases
ternary (3) 21000120220
quaternary (4) 201233202
quinary (5) 13410320
senary (6) 2543510
septenary (7) 1113642
nonary (9) 230526
undecimal (11) 94926
duodecimal (12) 67b96
tridecimal (13) 4aba7
tetradecimal (14) 38522
pentadecimal (15) 2ae40

As an angle

138,210° = 383 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆
Greek (Milesian)
͵ρλησιʹ
Mayan (base 20)
𝋱·𝋥·𝋪·𝋪
Chinese
一十三萬八千二百一十
Chinese (financial)
壹拾參萬捌仟貳佰壹拾
In other modern scripts
Eastern Arabic ١٣٨٢١٠ Devanagari १३८२१० Bengali ১৩৮২১০ Tamil ௧௩௮௨௧௦ Thai ๑๓๘๒๑๐ Tibetan ༡༣༨༢༡༠ Khmer ១៣៨២១០ Lao ໑໓໘໒໑໐ Burmese ၁၃၈၂၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138210, here are decompositions:

  • 13 + 138197 = 138210
  • 19 + 138191 = 138210
  • 29 + 138181 = 138210
  • 31 + 138179 = 138210
  • 47 + 138163 = 138210
  • 53 + 138157 = 138210
  • 67 + 138143 = 138210
  • 71 + 138139 = 138210

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯢
CJK Unified Ideograph-21Be2
U+21BE2
Other letter (Lo)

UTF-8 encoding: F0 A1 AF A2 (4 bytes).

Hex color
#021BE2
RGB(2, 27, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.226.

Address
0.2.27.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.226

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 138,210 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°.