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107,160

107,160 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.).

107,160 (one hundred seven thousand one hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 47. Its proper divisors sum to 238,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A298.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
61,701
Recamán's sequence
a(82,375) = 107,160
Square (n²)
11,483,265,600
Cube (n³)
1,230,546,741,696,000
Divisor count
64
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
26,496
Sum of prime factors
80

Primality

Prime factorization: 2 3 × 3 × 5 × 19 × 47

Nearest primes: 107,137 (−23) · 107,171 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 47 · 57 · 60 · 76 · 94 · 95 · 114 · 120 · 141 · 152 · 188 · 190 · 228 · 235 · 282 · 285 · 376 · 380 · 456 · 470 · 564 · 570 · 705 · 760 · 893 · 940 · 1128 · 1140 · 1410 · 1786 · 1880 · 2280 · 2679 · 2820 · 3572 · 4465 · 5358 · 5640 · 7144 · 8930 · 10716 · 13395 · 17860 · 21432 · 26790 · 35720 · 53580 (half) · 107160
Aliquot sum (sum of proper divisors): 238,440
Factor pairs (a × b = 107,160)
1 × 107160
2 × 53580
3 × 35720
4 × 26790
5 × 21432
6 × 17860
8 × 13395
10 × 10716
12 × 8930
15 × 7144
19 × 5640
20 × 5358
24 × 4465
30 × 3572
38 × 2820
40 × 2679
47 × 2280
57 × 1880
60 × 1786
76 × 1410
94 × 1140
95 × 1128
114 × 940
120 × 893
141 × 760
152 × 705
188 × 570
190 × 564
228 × 470
235 × 456
282 × 380
285 × 376
First multiples
107,160 · 214,320 (double) · 321,480 · 428,640 · 535,800 · 642,960 · 750,120 · 857,280 · 964,440 · 1,071,600

Sums & aliquot sequence

As consecutive integers: 35,719 + 35,720 + 35,721 21,430 + 21,431 + 21,432 + 21,433 + 21,434 7,137 + 7,138 + … + 7,151 6,690 + 6,691 + … + 6,705
Aliquot sequence: 107,160 → 238,440 → 477,240 → 1,004,520 → 2,287,320 → 5,715,480 → 11,431,320 → 22,863,000 → 48,478,920 → 117,737,400 → 280,451,400 → 649,995,000 → 1,500,879,000 → 3,457,487,400 → 7,371,402,840 → 17,218,829,160 — keeps growing

Continued fraction of √n

√107,160 = [327; (2, 1, 4, 1, 42, 1, 4, 1, 2, 654)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand one hundred sixty
Ordinal
107160th
Binary
11010001010011000
Octal
321230
Hexadecimal
0x1A298
Base64
AaKY
One's complement
4,294,860,135 (32-bit)
Scientific notation
1.0716 × 10⁵
As a duration
107,160 s = 1 day, 5 hours, 46 minutes
In other bases
ternary (3) 12102222220
quaternary (4) 122022120
quinary (5) 11412120
senary (6) 2144040
septenary (7) 624264
nonary (9) 172886
undecimal (11) 73569
duodecimal (12) 52020
tridecimal (13) 39a11
tetradecimal (14) 2b0a4
pentadecimal (15) 21b40

As an angle

107,160° = 297 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρζρξʹ
Mayan (base 20)
𝋭·𝋧·𝋲·𝋠
Chinese
十萬七千一百六十
Chinese (financial)
壹拾萬柒仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٧١٦٠ Devanagari १०७१६० Bengali ১০৭১৬০ Tamil ௧௦௭௧௬௦ Thai ๑๐๗๑๖๐ Tibetan ༡༠༧༡༦༠ Khmer ១០៧១៦០ Lao ໑໐໗໑໖໐ Burmese ၁၀၇၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107160, here are decompositions:

  • 23 + 107137 = 107160
  • 37 + 107123 = 107160
  • 41 + 107119 = 107160
  • 59 + 107101 = 107160
  • 61 + 107099 = 107160
  • 71 + 107089 = 107160
  • 83 + 107077 = 107160
  • 89 + 107071 = 107160

Showing the first eight; more decompositions exist.

Hex color
#01A298
RGB(1, 162, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.152.

Address
0.1.162.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.152

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 107,160 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.