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165,360

165,360 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.).

165,360 (one hundred sixty-five thousand three hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 53. Its proper divisors sum to 397,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x285F0.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
63,561
Square (n²)
27,343,929,600
Cube (n³)
4,521,592,198,656,000
Divisor count
80
σ(n) — sum of divisors
562,464
φ(n) — Euler's totient
39,936
Sum of prime factors
82

Primality

Prime factorization: 2 4 × 3 × 5 × 13 × 53

Nearest primes: 165,349 (−11) · 165,367 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 39 · 40 · 48 · 52 · 53 · 60 · 65 · 78 · 80 · 104 · 106 · 120 · 130 · 156 · 159 · 195 · 208 · 212 · 240 · 260 · 265 · 312 · 318 · 390 · 424 · 520 · 530 · 624 · 636 · 689 · 780 · 795 · 848 · 1040 · 1060 · 1272 · 1378 · 1560 · 1590 · 2067 · 2120 · 2544 · 2756 · 3120 · 3180 · 3445 · 4134 · 4240 · 5512 · 6360 · 6890 · 8268 · 10335 · 11024 · 12720 · 13780 · 16536 · 20670 · 27560 · 33072 · 41340 · 55120 · 82680 (half) · 165360
Aliquot sum (sum of proper divisors): 397,104
Factor pairs (a × b = 165,360)
1 × 165360
2 × 82680
3 × 55120
4 × 41340
5 × 33072
6 × 27560
8 × 20670
10 × 16536
12 × 13780
13 × 12720
15 × 11024
16 × 10335
20 × 8268
24 × 6890
26 × 6360
30 × 5512
39 × 4240
40 × 4134
48 × 3445
52 × 3180
53 × 3120
60 × 2756
65 × 2544
78 × 2120
80 × 2067
104 × 1590
106 × 1560
120 × 1378
130 × 1272
156 × 1060
159 × 1040
195 × 848
208 × 795
212 × 780
240 × 689
260 × 636
265 × 624
312 × 530
318 × 520
390 × 424
First multiples
165,360 · 330,720 (double) · 496,080 · 661,440 · 826,800 · 992,160 · 1,157,520 · 1,322,880 · 1,488,240 · 1,653,600

Sums & aliquot sequence

As consecutive integers: 55,119 + 55,120 + 55,121 33,070 + 33,071 + 33,072 + 33,073 + 33,074 12,714 + 12,715 + … + 12,726 11,017 + 11,018 + … + 11,031
Aliquot sequence: 165,360 397,104 628,872 943,368 1,519,032 2,311,368 3,508,632 5,994,108 9,546,452 9,323,308 6,992,488 6,423,992 6,145,048 8,692,712 11,939,608 10,484,072 9,173,578 — unresolved within range

Continued fraction of √n

√165,360 = [406; (1, 1, 1, 4, 2, 2, 2, 50, 2, 2, 2, 4, 1, 1, 1, 812)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand three hundred sixty
Ordinal
165360th
Binary
101000010111110000
Octal
502760
Hexadecimal
0x285F0
Base64
AoXw
One's complement
4,294,801,935 (32-bit)
Scientific notation
1.6536 × 10⁵
As a duration
165,360 s = 1 day, 21 hours, 56 minutes
In other bases
ternary (3) 22101211110
quaternary (4) 220113300
quinary (5) 20242420
senary (6) 3313320
septenary (7) 1256046
nonary (9) 271743
undecimal (11) 103268
duodecimal (12) 7b840
tridecimal (13) 5a360
tetradecimal (14) 44396
pentadecimal (15) 33ee0

As an angle

165,360° = 459 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξετξʹ
Chinese
一十六萬五千三百六十
Chinese (financial)
壹拾陸萬伍仟參佰陸拾
In other modern scripts
Eastern Arabic ١٦٥٣٦٠ Devanagari १६५३६० Bengali ১৬৫৩৬০ Tamil ௧௬௫௩௬௦ Thai ๑๖๕๓๖๐ Tibetan ༡༦༥༣༦༠ Khmer ១៦៥៣៦០ Lao ໑໖໕໓໖໐ Burmese ၁၆၅၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165360, here are decompositions:

  • 11 + 165349 = 165360
  • 17 + 165343 = 165360
  • 29 + 165331 = 165360
  • 43 + 165317 = 165360
  • 47 + 165313 = 165360
  • 67 + 165293 = 165360
  • 73 + 165287 = 165360
  • 113 + 165247 = 165360

Showing the first eight; more decompositions exist.

Unicode codepoint
𨗰
CJK Unified Ideograph-285F0
U+285F0
Other letter (Lo)

UTF-8 encoding: F0 A8 97 B0 (4 bytes).

Hex color
#0285F0
RGB(2, 133, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.240.

Address
0.2.133.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.240

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 165,360 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°.