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160,800

160,800 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.).

160,800 (one hundred sixty thousand eight hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3 × 5² × 67. Its proper divisors sum to 370,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27420.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
8,061
Flips to (rotate 180°)
8,091
Recamán's sequence
a(200,556) = 160,800
Square (n²)
25,856,640,000
Cube (n³)
4,157,747,712,000,000
Divisor count
72
σ(n) — sum of divisors
531,216
φ(n) — Euler's totient
42,240
Sum of prime factors
90

Primality

Prime factorization: 2 5 × 3 × 5 2 × 67

Nearest primes: 160,789 (−11) · 160,807 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 67 · 75 · 80 · 96 · 100 · 120 · 134 · 150 · 160 · 200 · 201 · 240 · 268 · 300 · 335 · 400 · 402 · 480 · 536 · 600 · 670 · 800 · 804 · 1005 · 1072 · 1200 · 1340 · 1608 · 1675 · 2010 · 2144 · 2400 · 2680 · 3216 · 3350 · 4020 · 5025 · 5360 · 6432 · 6700 · 8040 · 10050 · 10720 · 13400 · 16080 · 20100 · 26800 · 32160 · 40200 · 53600 · 80400 (half) · 160800
Aliquot sum (sum of proper divisors): 370,416
Factor pairs (a × b = 160,800)
1 × 160800
2 × 80400
3 × 53600
4 × 40200
5 × 32160
6 × 26800
8 × 20100
10 × 16080
12 × 13400
15 × 10720
16 × 10050
20 × 8040
24 × 6700
25 × 6432
30 × 5360
32 × 5025
40 × 4020
48 × 3350
50 × 3216
60 × 2680
67 × 2400
75 × 2144
80 × 2010
96 × 1675
100 × 1608
120 × 1340
134 × 1200
150 × 1072
160 × 1005
200 × 804
201 × 800
240 × 670
268 × 600
300 × 536
335 × 480
400 × 402
First multiples
160,800 · 321,600 (double) · 482,400 · 643,200 · 804,000 · 964,800 · 1,125,600 · 1,286,400 · 1,447,200 · 1,608,000

Sums & aliquot sequence

As consecutive integers: 53,599 + 53,600 + 53,601 32,158 + 32,159 + 32,160 + 32,161 + 32,162 10,713 + 10,714 + … + 10,727 6,420 + 6,421 + … + 6,444
Aliquot sequence: 160,800 370,416 586,616 513,304 595,496 652,984 611,336 639,304 569,396 432,556 324,424 291,176 287,164 263,204 213,496 186,824 200,206 — unresolved within range

Continued fraction of √n

√160,800 = [400; (1, 800)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty thousand eight hundred
Ordinal
160800th
Binary
100111010000100000
Octal
472040
Hexadecimal
0x27420
Base64
AnQg
One's complement
4,294,806,495 (32-bit)
Scientific notation
1.608 × 10⁵
As a duration
160,800 s = 1 day, 20 hours, 40 minutes
In other bases
ternary (3) 22011120120
quaternary (4) 213100200
quinary (5) 20121200
senary (6) 3240240
septenary (7) 1236543
nonary (9) 264516
undecimal (11) aa8a2
duodecimal (12) 79080
tridecimal (13) 58263
tetradecimal (14) 4285a
pentadecimal (15) 329a0

As an angle

160,800° = 446 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρξωʹ
Chinese
一十六萬零八百
Chinese (financial)
壹拾陸萬零捌佰
In other modern scripts
Eastern Arabic ١٦٠٨٠٠ Devanagari १६०८०० Bengali ১৬০৮০০ Tamil ௧௬௦௮௦௦ Thai ๑๖๐๘๐๐ Tibetan ༡༦༠༨༠༠ Khmer ១៦០៨០០ Lao ໑໖໐໘໐໐ Burmese ၁၆၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 160800, here are decompositions:

  • 11 + 160789 = 160800
  • 19 + 160781 = 160800
  • 43 + 160757 = 160800
  • 47 + 160753 = 160800
  • 61 + 160739 = 160800
  • 89 + 160711 = 160800
  • 103 + 160697 = 160800
  • 113 + 160687 = 160800

Showing the first eight; more decompositions exist.

Unicode codepoint
𧐠
CJK Unified Ideograph-27420
U+27420
Other letter (Lo)

UTF-8 encoding: F0 A7 90 A0 (4 bytes).

Hex color
#027420
RGB(2, 116, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.116.32.

Address
0.2.116.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.116.32

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 160,800 and was likely granted around 1873.

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°.