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164,820

164,820 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.).

164,820 (one hundred sixty-four thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 41 × 67. Its proper divisors sum to 314,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x283D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
28,461
Square (n²)
27,165,632,400
Cube (n³)
4,477,439,532,168,000
Divisor count
48
σ(n) — sum of divisors
479,808
φ(n) — Euler's totient
42,240
Sum of prime factors
120

Primality

Prime factorization: 2 2 × 3 × 5 × 41 × 67

Nearest primes: 164,809 (−11) · 164,821 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 41 · 60 · 67 · 82 · 123 · 134 · 164 · 201 · 205 · 246 · 268 · 335 · 402 · 410 · 492 · 615 · 670 · 804 · 820 · 1005 · 1230 · 1340 · 2010 · 2460 · 2747 · 4020 · 5494 · 8241 · 10988 · 13735 · 16482 · 27470 · 32964 · 41205 · 54940 · 82410 (half) · 164820
Aliquot sum (sum of proper divisors): 314,988
Factor pairs (a × b = 164,820)
1 × 164820
2 × 82410
3 × 54940
4 × 41205
5 × 32964
6 × 27470
10 × 16482
12 × 13735
15 × 10988
20 × 8241
30 × 5494
41 × 4020
60 × 2747
67 × 2460
82 × 2010
123 × 1340
134 × 1230
164 × 1005
201 × 820
205 × 804
246 × 670
268 × 615
335 × 492
402 × 410
First multiples
164,820 · 329,640 (double) · 494,460 · 659,280 · 824,100 · 988,920 · 1,153,740 · 1,318,560 · 1,483,380 · 1,648,200

Sums & aliquot sequence

As consecutive integers: 54,939 + 54,940 + 54,941 32,962 + 32,963 + 32,964 + 32,965 + 32,966 20,599 + 20,600 + … + 20,606 10,981 + 10,982 + … + 10,995
Aliquot sequence: 164,820 314,988 420,012 669,188 667,924 532,800 1,412,078 706,042 353,024 456,400 804,432 1,273,808 1,194,226 863,534 616,834 314,126 184,834 — unresolved within range

Continued fraction of √n

√164,820 = [405; (1, 49, 1, 2, 1, 49, 1, 810)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand eight hundred twenty
Ordinal
164820th
Binary
101000001111010100
Octal
501724
Hexadecimal
0x283D4
Base64
AoPU
One's complement
4,294,802,475 (32-bit)
Scientific notation
1.6482 × 10⁵
As a duration
164,820 s = 1 day, 21 hours, 47 minutes
In other bases
ternary (3) 22101002110
quaternary (4) 220033110
quinary (5) 20233240
senary (6) 3311020
septenary (7) 1254345
nonary (9) 271073
undecimal (11) 102917
duodecimal (12) 7b470
tridecimal (13) 5a036
tetradecimal (14) 440cc
pentadecimal (15) 33c80

As an angle

164,820° = 457 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξδωκʹ
Chinese
一十六萬四千八百二十
Chinese (financial)
壹拾陸萬肆仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٦٤٨٢٠ Devanagari १६४८२० Bengali ১৬৪৮২০ Tamil ௧௬௪௮௨௦ Thai ๑๖๔๘๒๐ Tibetan ༡༦༤༨༢༠ Khmer ១៦៤៨២០ Lao ໑໖໔໘໒໐ Burmese ၁၆၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164820, here are decompositions:

  • 11 + 164809 = 164820
  • 31 + 164789 = 164820
  • 53 + 164767 = 164820
  • 113 + 164707 = 164820
  • 137 + 164683 = 164820
  • 157 + 164663 = 164820
  • 167 + 164653 = 164820
  • 193 + 164627 = 164820

Showing the first eight; more decompositions exist.

Unicode codepoint
𨏔
CJK Unified Ideograph-283D4
U+283D4
Other letter (Lo)

UTF-8 encoding: F0 A8 8F 94 (4 bytes).

Hex color
#0283D4
RGB(2, 131, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.212.

Address
0.2.131.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.131.212

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 164,820 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 164820 first appears in π at position 996,595 of the decimal expansion (the 996,595ordinal-suffix:th 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°.