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107,210

107,210 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.).

107,210 (one hundred seven thousand two hundred ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 71 × 151. Written other ways, in hexadecimal, 0x1A2CA.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
12,701
Recamán's sequence
a(82,475) = 107,210
Square (n²)
11,493,984,100
Cube (n³)
1,232,270,035,361,000
Divisor count
16
σ(n) — sum of divisors
196,992
φ(n) — Euler's totient
42,000
Sum of prime factors
229

Primality

Prime factorization: 2 × 5 × 71 × 151

Nearest primes: 107,209 (−1) · 107,227 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 71 · 142 · 151 · 302 · 355 · 710 · 755 · 1510 · 10721 · 21442 · 53605 (half) · 107210
Aliquot sum (sum of proper divisors): 89,782
Factor pairs (a × b = 107,210)
1 × 107210
2 × 53605
5 × 21442
10 × 10721
71 × 1510
142 × 755
151 × 710
302 × 355
First multiples
107,210 · 214,420 (double) · 321,630 · 428,840 · 536,050 · 643,260 · 750,470 · 857,680 · 964,890 · 1,072,100

Sums & aliquot sequence

As consecutive integers: 26,801 + 26,802 + 26,803 + 26,804 21,440 + 21,441 + 21,442 + 21,443 + 21,444 5,351 + 5,352 + … + 5,370 1,475 + 1,476 + … + 1,545
Aliquot sequence: 107,210 → 89,782 → 82,586 → 67,750 → 59,546 → 34,534 → 19,034 → 10,534 → 6,026 → 3,478 → 1,994 → 1,000 → 1,340 → 1,516 → 1,144 → 1,376 → 1,396 — unresolved within range

Continued fraction of √n

√107,210 = [327; (2, 3, 24, 1, 9, 8, 1, 2, 1, 64, 1, 2, 1, 8, 9, 1, 24, 3, 2, 654)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand two hundred ten
Ordinal
107210th
Binary
11010001011001010
Octal
321312
Hexadecimal
0x1A2CA
Base64
AaLK
One's complement
4,294,860,085 (32-bit)
Scientific notation
1.0721 × 10⁵
As a duration
107,210 s = 1 day, 5 hours, 46 minutes, 50 seconds
In other bases
ternary (3) 12110001202
quaternary (4) 122023022
quinary (5) 11412320
senary (6) 2144202
septenary (7) 624365
nonary (9) 173052
undecimal (11) 73604
duodecimal (12) 52062
tridecimal (13) 39a4c
tetradecimal (14) 2b0dc
pentadecimal (15) 21b75

As an angle

107,210° = 297 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆
Greek (Milesian)
͵ρζσιʹ
Mayan (base 20)
𝋭·𝋨·𝋠·𝋪
Chinese
十萬七千二百一十
Chinese (financial)
壹拾萬柒仟貳佰壹拾
In other modern scripts
Eastern Arabic ١٠٧٢١٠ Devanagari १०७२१० Bengali ১০৭২১০ Tamil ௧௦௭௨௧௦ Thai ๑๐๗๒๑๐ Tibetan ༡༠༧༢༡༠ Khmer ១០៧២១០ Lao ໑໐໗໒໑໐ Burmese ၁၀၇၂၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107210, here are decompositions:

  • 13 + 107197 = 107210
  • 73 + 107137 = 107210
  • 109 + 107101 = 107210
  • 139 + 107071 = 107210
  • 157 + 107053 = 107210
  • 307 + 106903 = 107210
  • 349 + 106861 = 107210
  • 409 + 106801 = 107210

Showing the first eight; more decompositions exist.

Hex color
#01A2CA
RGB(1, 162, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.202.

Address
0.1.162.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.202

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 107,210 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.