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162,180

162,180 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.).

162,180 (one hundred sixty-two thousand one hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 17 × 53. Its proper divisors sum to 368,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27984.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Heptagonal Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
81,261
Recamán's sequence
a(197,796) = 162,180
Square (n²)
26,302,352,400
Cube (n³)
4,265,715,512,232,000
Divisor count
72
σ(n) — sum of divisors
530,712
φ(n) — Euler's totient
39,936
Sum of prime factors
85

Primality

Prime factorization: 2 2 × 3 2 × 5 × 17 × 53

Nearest primes: 162,143 (−37) · 162,209 (+29)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 30 · 34 · 36 · 45 · 51 · 53 · 60 · 68 · 85 · 90 · 102 · 106 · 153 · 159 · 170 · 180 · 204 · 212 · 255 · 265 · 306 · 318 · 340 · 477 · 510 · 530 · 612 · 636 · 765 · 795 · 901 · 954 · 1020 · 1060 · 1530 · 1590 · 1802 · 1908 · 2385 · 2703 · 3060 · 3180 · 3604 · 4505 · 4770 · 5406 · 8109 · 9010 · 9540 · 10812 · 13515 · 16218 · 18020 · 27030 · 32436 · 40545 · 54060 · 81090 (half) · 162180
Aliquot sum (sum of proper divisors): 368,532
Factor pairs (a × b = 162,180)
1 × 162180
2 × 81090
3 × 54060
4 × 40545
5 × 32436
6 × 27030
9 × 18020
10 × 16218
12 × 13515
15 × 10812
17 × 9540
18 × 9010
20 × 8109
30 × 5406
34 × 4770
36 × 4505
45 × 3604
51 × 3180
53 × 3060
60 × 2703
68 × 2385
85 × 1908
90 × 1802
102 × 1590
106 × 1530
153 × 1060
159 × 1020
170 × 954
180 × 901
204 × 795
212 × 765
255 × 636
265 × 612
306 × 530
318 × 510
340 × 477
First multiples
162,180 · 324,360 (double) · 486,540 · 648,720 · 810,900 · 973,080 · 1,135,260 · 1,297,440 · 1,459,620 · 1,621,800

Sums & aliquot sequence

As a sum of two squares: 24² + 402² = 168² + 366² = 192² + 354² = 222² + 336²
As consecutive integers: 54,059 + 54,060 + 54,061 32,434 + 32,435 + 32,436 + 32,437 + 32,438 20,269 + 20,270 + … + 20,276 18,016 + 18,017 + … + 18,024
Aliquot sequence: 162,180 368,532 597,888 1,176,912 2,421,072 5,239,152 9,423,600 20,767,176 35,477,454 40,960,050 60,621,246 90,542,754 111,962,718 172,053,378 253,983,870 533,108,610 934,512,246 — unresolved within range

Continued fraction of √n

√162,180 = [402; (1, 2, 1, 1, 13, 12, 1, 1, 21, 1, 5, 1, 4, 2, 1, 15, 1, 2, 1, 88, 1, 2, 1, 15, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand one hundred eighty
Ordinal
162180th
Binary
100111100110000100
Octal
474604
Hexadecimal
0x27984
Base64
AnmE
One's complement
4,294,805,115 (32-bit)
Scientific notation
1.6218 × 10⁵
As a duration
162,180 s = 1 day, 21 hours, 3 minutes
In other bases
ternary (3) 22020110200
quaternary (4) 213212010
quinary (5) 20142210
senary (6) 3250500
septenary (7) 1243554
nonary (9) 266420
undecimal (11) 100937
duodecimal (12) 79a30
tridecimal (13) 58a85
tetradecimal (14) 43164
pentadecimal (15) 330c0
Palindromic in base 13

As an angle

162,180° = 450 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξβρπʹ
Chinese
一十六萬二千一百八十
Chinese (financial)
壹拾陸萬貳仟壹佰捌拾
In other modern scripts
Eastern Arabic ١٦٢١٨٠ Devanagari १६२१८० Bengali ১৬২১৮০ Tamil ௧௬௨௧௮௦ Thai ๑๖๒๑๘๐ Tibetan ༡༦༢༡༨༠ Khmer ១៦២១៨០ Lao ໑໖໒໑໘໐ Burmese ၁၆၂၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162180, here are decompositions:

  • 37 + 162143 = 162180
  • 61 + 162119 = 162180
  • 71 + 162109 = 162180
  • 89 + 162091 = 162180
  • 101 + 162079 = 162180
  • 127 + 162053 = 162180
  • 163 + 162017 = 162180
  • 173 + 162007 = 162180

Showing the first eight; more decompositions exist.

Unicode codepoint
𧦄
CJK Unified Ideograph-27984
U+27984
Other letter (Lo)

UTF-8 encoding: F0 A7 A6 84 (4 bytes).

Hex color
#027984
RGB(2, 121, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.121.132.

Address
0.2.121.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.121.132

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 162,180 and was likely granted around 1874.

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

Position in π

The digit sequence 162180 first appears in π at position 43,883 of the decimal expansion (the 43,883ordinal-suffix:rd 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°.