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164,016

164,016 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.).

164,016 (one hundred sixty-four thousand sixteen) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 17 × 67. Its proper divisors sum to 329,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x280B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
610,461
Square (n²)
26,901,248,256
Cube (n³)
4,412,235,133,956,096
Divisor count
60
σ(n) — sum of divisors
493,272
φ(n) — Euler's totient
50,688
Sum of prime factors
98

Primality

Prime factorization: 2 4 × 3 2 × 17 × 67

Nearest primes: 164,011 (−5) · 164,023 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 34 · 36 · 48 · 51 · 67 · 68 · 72 · 102 · 134 · 136 · 144 · 153 · 201 · 204 · 268 · 272 · 306 · 402 · 408 · 536 · 603 · 612 · 804 · 816 · 1072 · 1139 · 1206 · 1224 · 1608 · 2278 · 2412 · 2448 · 3216 · 3417 · 4556 · 4824 · 6834 · 9112 · 9648 · 10251 · 13668 · 18224 · 20502 · 27336 · 41004 · 54672 · 82008 (half) · 164016
Aliquot sum (sum of proper divisors): 329,256
Factor pairs (a × b = 164,016)
1 × 164016
2 × 82008
3 × 54672
4 × 41004
6 × 27336
8 × 20502
9 × 18224
12 × 13668
16 × 10251
17 × 9648
18 × 9112
24 × 6834
34 × 4824
36 × 4556
48 × 3417
51 × 3216
67 × 2448
68 × 2412
72 × 2278
102 × 1608
134 × 1224
136 × 1206
144 × 1139
153 × 1072
201 × 816
204 × 804
268 × 612
272 × 603
306 × 536
402 × 408
First multiples
164,016 · 328,032 (double) · 492,048 · 656,064 · 820,080 · 984,096 · 1,148,112 · 1,312,128 · 1,476,144 · 1,640,160

Sums & aliquot sequence

As consecutive integers: 54,671 + 54,672 + 54,673 18,220 + 18,221 + … + 18,228 9,640 + 9,641 + … + 9,656 5,110 + 5,111 + … + 5,141
Aliquot sequence: 164,016 329,256 618,444 986,796 1,571,844 2,095,820 2,409,604 1,807,210 1,473,686 736,846 468,938 253,594 161,414 125,866 83,798 64,378 32,192 — unresolved within range

Continued fraction of √n

√164,016 = [404; (1, 88, 1, 808)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand sixteen
Ordinal
164016th
Binary
101000000010110000
Octal
500260
Hexadecimal
0x280B0
Base64
AoCw
One's complement
4,294,803,279 (32-bit)
Scientific notation
1.64016 × 10⁵
As a duration
164,016 s = 1 day, 21 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 22022222200
quaternary (4) 220002300
quinary (5) 20222031
senary (6) 3303200
septenary (7) 1252116
nonary (9) 268880
undecimal (11) 102256
duodecimal (12) 7ab00
tridecimal (13) 59868
tetradecimal (14) 43ab6
pentadecimal (15) 338e6

As an angle

164,016° = 455 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδιϛʹ
Chinese
一十六萬四千零一十六
Chinese (financial)
壹拾陸萬肆仟零壹拾陸
In other modern scripts
Eastern Arabic ١٦٤٠١٦ Devanagari १६४०१६ Bengali ১৬৪০১৬ Tamil ௧௬௪௦௧௬ Thai ๑๖๔๐๑๖ Tibetan ༡༦༤༠༡༦ Khmer ១៦៤០១៦ Lao ໑໖໔໐໑໖ Burmese ၁၆၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164016, here are decompositions:

  • 5 + 164011 = 164016
  • 19 + 163997 = 164016
  • 23 + 163993 = 164016
  • 29 + 163987 = 164016
  • 37 + 163979 = 164016
  • 43 + 163973 = 164016
  • 89 + 163927 = 164016
  • 107 + 163909 = 164016

Showing the first eight; more decompositions exist.

Unicode codepoint
𨂰
CJK Unified Ideograph-280B0
U+280B0
Other letter (Lo)

UTF-8 encoding: F0 A8 82 B0 (4 bytes).

Hex color
#0280B0
RGB(2, 128, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.176.

Address
0.2.128.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.176

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 164,016 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 164016 first appears in π at position 519,144 of the decimal expansion (the 519,144ordinal-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°.