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107,600

107,600 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.).

107,600 (one hundred seven thousand six hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 269. Its proper divisors sum to 151,870, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A450.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
6,701
Recamán's sequence
a(85,347) = 107,600
Square (n²)
11,577,760,000
Cube (n³)
1,245,766,976,000,000
Divisor count
30
σ(n) — sum of divisors
259,470
φ(n) — Euler's totient
42,880
Sum of prime factors
287

Primality

Prime factorization: 2 4 × 5 2 × 269

Nearest primes: 107,599 (−1) · 107,603 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 269 · 400 · 538 · 1076 · 1345 · 2152 · 2690 · 4304 · 5380 · 6725 · 10760 · 13450 · 21520 · 26900 · 53800 (half) · 107600
Aliquot sum (sum of proper divisors): 151,870
Factor pairs (a × b = 107,600)
1 × 107600
2 × 53800
4 × 26900
5 × 21520
8 × 13450
10 × 10760
16 × 6725
20 × 5380
25 × 4304
40 × 2690
50 × 2152
80 × 1345
100 × 1076
200 × 538
269 × 400
First multiples
107,600 · 215,200 (double) · 322,800 · 430,400 · 538,000 · 645,600 · 753,200 · 860,800 · 968,400 · 1,076,000

Sums & aliquot sequence

As a sum of two squares: 4² + 328² = 88² + 316² = 200² + 260²
As consecutive integers: 21,518 + 21,519 + 21,520 + 21,521 + 21,522 4,292 + 4,293 + … + 4,316 3,347 + 3,348 + … + 3,378 593 + 594 + … + 752
Aliquot sequence: 107,600 → 151,870 → 121,514 → 60,760 → 103,400 → 164,440 → 205,640 → 270,640 → 398,960 → 528,808 → 702,392 → 684,208 → 878,192 → 1,066,624 → 1,225,316 → 918,994 → 468,446 — unresolved within range

Continued fraction of √n

√107,600 = [328; (41, 656)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand six hundred
Ordinal
107600th
Binary
11010010001010000
Octal
322120
Hexadecimal
0x1A450
Base64
AaRQ
One's complement
4,294,859,695 (32-bit)
Scientific notation
1.076 × 10⁵
As a duration
107,600 s = 1 day, 5 hours, 53 minutes, 20 seconds
In other bases
ternary (3) 12110121012
quaternary (4) 122101100
quinary (5) 11420400
senary (6) 2150052
septenary (7) 625463
nonary (9) 173535
undecimal (11) 73929
duodecimal (12) 52328
tridecimal (13) 39c8c
tetradecimal (14) 2b2da
pentadecimal (15) 21d35

As an angle

107,600° = 298 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρζχʹ
Mayan (base 20)
𝋭·𝋩·𝋠·𝋠
Chinese
十萬七千六百
Chinese (financial)
壹拾萬柒仟陸佰
In other modern scripts
Eastern Arabic ١٠٧٦٠٠ Devanagari १०७६०० Bengali ১০৭৬০০ Tamil ௧௦௭௬௦௦ Thai ๑๐๗๖๐๐ Tibetan ༡༠༧༦༠༠ Khmer ១០៧៦០០ Lao ໑໐໗໖໐໐ Burmese ၁၀၇၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107600, here are decompositions:

  • 19 + 107581 = 107600
  • 37 + 107563 = 107600
  • 127 + 107473 = 107600
  • 151 + 107449 = 107600
  • 223 + 107377 = 107600
  • 277 + 107323 = 107600
  • 331 + 107269 = 107600
  • 349 + 107251 = 107600

Showing the first eight; more decompositions exist.

Hex color
#01A450
RGB(1, 164, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.80.

Address
0.1.164.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.164.80

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 107,600 and was likely granted around 1870.

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

Position in π

The digit sequence 107600 first appears in π at position 94,264 of the decimal expansion (the 94,264ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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