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170,320

170,320 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.).

170,320 (one hundred seventy thousand three hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 2,129. Its proper divisors sum to 225,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29950.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
23,071
Square (n²)
29,008,902,400
Cube (n³)
4,940,796,256,768,000
Divisor count
20
σ(n) — sum of divisors
396,180
φ(n) — Euler's totient
68,096
Sum of prime factors
2,142

Primality

Prime factorization: 2 4 × 5 × 2129

Nearest primes: 170,299 (−21) · 170,327 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 2129 · 4258 · 8516 · 10645 · 17032 · 21290 · 34064 · 42580 · 85160 (half) · 170320
Aliquot sum (sum of proper divisors): 225,860
Factor pairs (a × b = 170,320)
1 × 170320
2 × 85160
4 × 42580
5 × 34064
8 × 21290
10 × 17032
16 × 10645
20 × 8516
40 × 4258
80 × 2129
First multiples
170,320 · 340,640 (double) · 510,960 · 681,280 · 851,600 · 1,021,920 · 1,192,240 · 1,362,560 · 1,532,880 · 1,703,200

Sums & aliquot sequence

As a sum of two squares: 24² + 412² = 228² + 344²
As consecutive integers: 34,062 + 34,063 + 34,064 + 34,065 + 34,066 5,307 + 5,308 + … + 5,338 985 + 986 + … + 1,144
Aliquot sequence: 170,320 225,860 270,076 206,204 154,660 228,380 277,300 347,660 382,468 286,858 257,462 161,578 80,792 70,708 64,364 48,280 68,360 — unresolved within range

Continued fraction of √n

√170,320 = [412; (1, 2, 3, 6, 10, 6, 3, 2, 1, 824)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand three hundred twenty
Ordinal
170320th
Binary
101001100101010000
Octal
514520
Hexadecimal
0x29950
Base64
AplQ
One's complement
4,294,796,975 (32-bit)
Scientific notation
1.7032 × 10⁵
As a duration
170,320 s = 1 day, 23 hours, 18 minutes, 40 seconds
In other bases
ternary (3) 22122122011
quaternary (4) 221211100
quinary (5) 20422240
senary (6) 3352304
septenary (7) 1306363
nonary (9) 278564
undecimal (11) 106a67
duodecimal (12) 82694
tridecimal (13) 5c6a7
tetradecimal (14) 460da
pentadecimal (15) 356ea

As an angle

170,320° = 473 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ροτκʹ
Chinese
一十七萬零三百二十
Chinese (financial)
壹拾柒萬零參佰貳拾
In other modern scripts
Eastern Arabic ١٧٠٣٢٠ Devanagari १७०३२० Bengali ১৭০৩২০ Tamil ௧௭௦௩௨௦ Thai ๑๗๐๓๒๐ Tibetan ༡༧༠༣༢༠ Khmer ១៧០៣២០ Lao ໑໗໐໓໒໐ Burmese ၁၇၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170320, here are decompositions:

  • 41 + 170279 = 170320
  • 53 + 170267 = 170320
  • 71 + 170249 = 170320
  • 89 + 170231 = 170320
  • 107 + 170213 = 170320
  • 113 + 170207 = 170320
  • 131 + 170189 = 170320
  • 179 + 170141 = 170320

Showing the first eight; more decompositions exist.

Unicode codepoint
𩥐
CJK Unified Ideograph-29950
U+29950
Other letter (Lo)

UTF-8 encoding: F0 A9 A5 90 (4 bytes).

Hex color
#029950
RGB(2, 153, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.153.80.

Address
0.2.153.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.153.80

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 170,320 and was likely granted around 1874.

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°.