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160,320

160,320 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.).

160,320 (one hundred sixty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 167. Its proper divisors sum to 351,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27240.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
23,061
Recamán's sequence
a(49,400) = 160,320
Square (n²)
25,702,502,400
Cube (n³)
4,120,625,184,768,000
Divisor count
56
σ(n) — sum of divisors
512,064
φ(n) — Euler's totient
42,496
Sum of prime factors
187

Primality

Prime factorization: 2 6 × 3 × 5 × 167

Nearest primes: 160,319 (−1) · 160,343 (+23)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 160 · 167 · 192 · 240 · 320 · 334 · 480 · 501 · 668 · 835 · 960 · 1002 · 1336 · 1670 · 2004 · 2505 · 2672 · 3340 · 4008 · 5010 · 5344 · 6680 · 8016 · 10020 · 10688 · 13360 · 16032 · 20040 · 26720 · 32064 · 40080 · 53440 · 80160 (half) · 160320
Aliquot sum (sum of proper divisors): 351,744
Factor pairs (a × b = 160,320)
1 × 160320
2 × 80160
3 × 53440
4 × 40080
5 × 32064
6 × 26720
8 × 20040
10 × 16032
12 × 13360
15 × 10688
16 × 10020
20 × 8016
24 × 6680
30 × 5344
32 × 5010
40 × 4008
48 × 3340
60 × 2672
64 × 2505
80 × 2004
96 × 1670
120 × 1336
160 × 1002
167 × 960
192 × 835
240 × 668
320 × 501
334 × 480
First multiples
160,320 · 320,640 (double) · 480,960 · 641,280 · 801,600 · 961,920 · 1,122,240 · 1,282,560 · 1,442,880 · 1,603,200

Sums & aliquot sequence

As consecutive integers: 53,439 + 53,440 + 53,441 32,062 + 32,063 + 32,064 + 32,065 + 32,066 10,681 + 10,682 + … + 10,695 1,189 + 1,190 + … + 1,316
Aliquot sequence: 160,320 351,744 589,416 922,584 1,562,136 2,343,264 5,349,792 11,584,608 23,171,232 50,578,080 131,515,104 289,619,232 579,240,480 1,706,903,520 4,523,020,320 13,012,550,880 — keeps growing

Continued fraction of √n

√160,320 = [400; (2, 1, 1, 199, 1, 1, 2, 800)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty thousand three hundred twenty
Ordinal
160320th
Binary
100111001001000000
Octal
471100
Hexadecimal
0x27240
Base64
AnJA
One's complement
4,294,806,975 (32-bit)
Scientific notation
1.6032 × 10⁵
As a duration
160,320 s = 1 day, 20 hours, 32 minutes
In other bases
ternary (3) 22010220210
quaternary (4) 213021000
quinary (5) 20112240
senary (6) 3234120
septenary (7) 1235256
nonary (9) 263823
undecimal (11) aa4a6
duodecimal (12) 78940
tridecimal (13) 57c84
tetradecimal (14) 425d6
pentadecimal (15) 32780

As an angle

160,320° = 445 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξτκʹ
Chinese
一十六萬零三百二十
Chinese (financial)
壹拾陸萬零參佰貳拾
In other modern scripts
Eastern Arabic ١٦٠٣٢٠ Devanagari १६०३२० Bengali ১৬০৩২০ Tamil ௧௬௦௩௨௦ Thai ๑๖๐๓๒๐ Tibetan ༡༦༠༣༢༠ Khmer ១៦០៣២០ Lao ໑໖໐໓໒໐ Burmese ၁၆၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 160320, here are decompositions:

  • 7 + 160313 = 160320
  • 11 + 160309 = 160320
  • 67 + 160253 = 160320
  • 89 + 160231 = 160320
  • 103 + 160217 = 160320
  • 113 + 160207 = 160320
  • 137 + 160183 = 160320
  • 151 + 160169 = 160320

Showing the first eight; more decompositions exist.

Unicode codepoint
𧉀
CJK Unified Ideograph-27240
U+27240
Other letter (Lo)

UTF-8 encoding: F0 A7 89 80 (4 bytes).

Hex color
#027240
RGB(2, 114, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.114.64.

Address
0.2.114.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.114.64

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 160,320 and was likely granted around 1873.

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

Position in π

The digit sequence 160320 first appears in π at position 124,052 of the decimal expansion (the 124,052ordinal-suffix:nd 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

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