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162,000

162,000 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.).

162,000 (one hundred sixty-two thousand) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5³. Its proper divisors sum to 423,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x278D0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
261
Recamán's sequence
a(198,156) = 162,000
Square (n²)
26,244,000,000
Cube (n³)
4,251,528,000,000,000
Divisor count
100
σ(n) — sum of divisors
585,156
φ(n) — Euler's totient
43,200
Sum of prime factors
35

Primality

Prime factorization: 2 4 × 3 4 × 5 3

Nearest primes: 161,999 (−1) · 162,007 (+7)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 27 · 30 · 36 · 40 · 45 · 48 · 50 · 54 · 60 · 72 · 75 · 80 · 81 · 90 · 100 · 108 · 120 · 125 · 135 · 144 · 150 · 162 · 180 · 200 · 216 · 225 · 240 · 250 · 270 · 300 · 324 · 360 · 375 · 400 · 405 · 432 · 450 · 500 · 540 · 600 · 648 · 675 · 720 · 750 · 810 · 900 · 1000 · 1080 · 1125 · 1200 · 1296 · 1350 · 1500 · 1620 · 1800 · 2000 · 2025 · 2160 · 2250 · 2700 · 3000 · 3240 · 3375 · 3600 · 4050 · 4500 · 5400 · 6000 · 6480 · 6750 · 8100 · 9000 · 10125 · 10800 · 13500 · 16200 · 18000 · 20250 · 27000 · 32400 · 40500 · 54000 · 81000 (half) · 162000
Aliquot sum (sum of proper divisors): 423,156
Factor pairs (a × b = 162,000)
1 × 162000
2 × 81000
3 × 54000
4 × 40500
5 × 32400
6 × 27000
8 × 20250
9 × 18000
10 × 16200
12 × 13500
15 × 10800
16 × 10125
18 × 9000
20 × 8100
24 × 6750
25 × 6480
27 × 6000
30 × 5400
36 × 4500
40 × 4050
45 × 3600
48 × 3375
50 × 3240
54 × 3000
60 × 2700
72 × 2250
75 × 2160
80 × 2025
81 × 2000
90 × 1800
100 × 1620
108 × 1500
120 × 1350
125 × 1296
135 × 1200
144 × 1125
150 × 1080
162 × 1000
180 × 900
200 × 810
216 × 750
225 × 720
240 × 675
250 × 648
270 × 600
300 × 540
324 × 500
360 × 450
375 × 432
400 × 405
First multiples
162,000 · 324,000 (double) · 486,000 · 648,000 · 810,000 · 972,000 · 1,134,000 · 1,296,000 · 1,458,000 · 1,620,000

Sums & aliquot sequence

As a sum of two squares: 72² + 396² = 180² + 360²
As consecutive integers: 53,999 + 54,000 + 54,001 32,398 + 32,399 + 32,400 + 32,401 + 32,402 17,996 + 17,997 + … + 18,004 10,793 + 10,794 + … + 10,807
Aliquot sequence: 162,000 423,156 574,764 778,644 1,239,372 1,927,428 2,569,932 3,926,376 7,174,584 12,383,136 26,404,704 52,996,464 101,477,776 95,135,446 69,241,130 82,822,870 82,171,610 — unresolved within range

Continued fraction of √n

√162,000 = [402; (2, 31, 1, 2, 3, 31, 1, 8, 1, 31, 3, 2, 1, 31, 2, 804)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-two thousand
Ordinal
162000th
Binary
100111100011010000
Octal
474320
Hexadecimal
0x278D0
Base64
AnjQ
One's complement
4,294,805,295 (32-bit)
Scientific notation
1.62 × 10⁵
As a duration
162,000 s = 1 day, 21 hours
In other bases
ternary (3) 22020020000
quaternary (4) 213203100
quinary (5) 20141000
senary (6) 3250000
septenary (7) 1243206
nonary (9) 266200
undecimal (11) 100793
duodecimal (12) 79900
tridecimal (13) 58977
tetradecimal (14) 43076
pentadecimal (15) 33000

As an angle

162,000° = 450 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian)
͵ρξβ
Chinese
一十六萬二千
Chinese (financial)
壹拾陸萬貳仟
In other modern scripts
Eastern Arabic ١٦٢٠٠٠ Devanagari १६२००० Bengali ১৬২০০০ Tamil ௧௬௨௦௦௦ Thai ๑๖๒๐๐๐ Tibetan ༡༦༢༠༠༠ Khmer ១៦២០០០ Lao ໑໖໒໐໐໐ Burmese ၁၆၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162000, here are decompositions:

  • 17 + 161983 = 162000
  • 23 + 161977 = 162000
  • 29 + 161971 = 162000
  • 31 + 161969 = 162000
  • 43 + 161957 = 162000
  • 53 + 161947 = 162000
  • 79 + 161921 = 162000
  • 89 + 161911 = 162000

Showing the first eight; more decompositions exist.

Unicode codepoint
𧣐
CJK Unified Ideograph-278D0
U+278D0
Other letter (Lo)

UTF-8 encoding: F0 A7 A3 90 (4 bytes).

Hex color
#0278D0
RGB(2, 120, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.120.208.

Address
0.2.120.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.120.208

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 162,000 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°.