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162,960

162,960 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.).

162,960 (one hundred sixty-two thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 97. Its proper divisors sum to 420,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27C90.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
69,261
Recamán's sequence
a(51,100) = 162,960
Square (n²)
26,555,961,600
Cube (n³)
4,327,559,502,336,000
Divisor count
80
σ(n) — sum of divisors
583,296
φ(n) — Euler's totient
36,864
Sum of prime factors
120

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 97

Nearest primes: 162,947 (−13) · 162,971 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 97 · 105 · 112 · 120 · 140 · 168 · 194 · 210 · 240 · 280 · 291 · 336 · 388 · 420 · 485 · 560 · 582 · 679 · 776 · 840 · 970 · 1164 · 1358 · 1455 · 1552 · 1680 · 1940 · 2037 · 2328 · 2716 · 2910 · 3395 · 3880 · 4074 · 4656 · 5432 · 5820 · 6790 · 7760 · 8148 · 10185 · 10864 · 11640 · 13580 · 16296 · 20370 · 23280 · 27160 · 32592 · 40740 · 54320 · 81480 (half) · 162960
Aliquot sum (sum of proper divisors): 420,336
Factor pairs (a × b = 162,960)
1 × 162960
2 × 81480
3 × 54320
4 × 40740
5 × 32592
6 × 27160
7 × 23280
8 × 20370
10 × 16296
12 × 13580
14 × 11640
15 × 10864
16 × 10185
20 × 8148
21 × 7760
24 × 6790
28 × 5820
30 × 5432
35 × 4656
40 × 4074
42 × 3880
48 × 3395
56 × 2910
60 × 2716
70 × 2328
80 × 2037
84 × 1940
97 × 1680
105 × 1552
112 × 1455
120 × 1358
140 × 1164
168 × 970
194 × 840
210 × 776
240 × 679
280 × 582
291 × 560
336 × 485
388 × 420
First multiples
162,960 · 325,920 (double) · 488,880 · 651,840 · 814,800 · 977,760 · 1,140,720 · 1,303,680 · 1,466,640 · 1,629,600

Sums & aliquot sequence

As consecutive integers: 54,319 + 54,320 + 54,321 32,590 + 32,591 + 32,592 + 32,593 + 32,594 23,277 + 23,278 + … + 23,283 10,857 + 10,858 + … + 10,871
Aliquot sequence: 162,960 420,336 968,464 1,176,240 2,908,320 6,490,272 10,546,944 18,494,208 37,306,992 62,396,448 104,891,232 172,333,968 272,862,240 774,336,864 1,548,675,744 3,740,663,136 8,778,424,704 — unresolved within range

Continued fraction of √n

√162,960 = [403; (1, 2, 6, 2, 4, 1, 1, 1, 1, 2, 5, 2, 1, 1, 1, 1, 4, 2, 6, 2, 1, 806)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand nine hundred sixty
Ordinal
162960th
Binary
100111110010010000
Octal
476220
Hexadecimal
0x27C90
Base64
AnyQ
One's complement
4,294,804,335 (32-bit)
Scientific notation
1.6296 × 10⁵
As a duration
162,960 s = 1 day, 21 hours, 16 minutes
In other bases
ternary (3) 22021112120
quaternary (4) 213302100
quinary (5) 20203320
senary (6) 3254240
septenary (7) 1246050
nonary (9) 267476
undecimal (11) 101486
duodecimal (12) 7a380
tridecimal (13) 59235
tetradecimal (14) 43560
pentadecimal (15) 33440

As an angle

162,960° = 452 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξβϡξʹ
Chinese
一十六萬二千九百六十
Chinese (financial)
壹拾陸萬貳仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٦٢٩٦٠ Devanagari १६२९६० Bengali ১৬২৯৬০ Tamil ௧௬௨௯௬௦ Thai ๑๖๒๙๖๐ Tibetan ༡༦༢༩༦༠ Khmer ១៦២៩៦០ Lao ໑໖໒໙໖໐ Burmese ၁၆၂၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162960, here are decompositions:

  • 13 + 162947 = 162960
  • 23 + 162937 = 162960
  • 43 + 162917 = 162960
  • 53 + 162907 = 162960
  • 59 + 162901 = 162960
  • 71 + 162889 = 162960
  • 79 + 162881 = 162960
  • 101 + 162859 = 162960

Showing the first eight; more decompositions exist.

Unicode codepoint
𧲐
CJK Unified Ideograph-27C90
U+27C90
Other letter (Lo)

UTF-8 encoding: F0 A7 B2 90 (4 bytes).

Hex color
#027C90
RGB(2, 124, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.124.144.

Address
0.2.124.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.124.144

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 162,960 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°.