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164,040

164,040 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.).

164,040 (one hundred sixty-four thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,367. Its proper divisors sum to 328,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x280C8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
40,461
Square (n²)
26,909,121,600
Cube (n³)
4,414,172,307,264,000
Divisor count
32
σ(n) — sum of divisors
492,480
φ(n) — Euler's totient
43,712
Sum of prime factors
1,381

Primality

Prime factorization: 2 3 × 3 × 5 × 1367

Nearest primes: 164,039 (−1) · 164,051 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1367 · 2734 · 4101 · 5468 · 6835 · 8202 · 10936 · 13670 · 16404 · 20505 · 27340 · 32808 · 41010 · 54680 · 82020 (half) · 164040
Aliquot sum (sum of proper divisors): 328,440
Factor pairs (a × b = 164,040)
1 × 164040
2 × 82020
3 × 54680
4 × 41010
5 × 32808
6 × 27340
8 × 20505
10 × 16404
12 × 13670
15 × 10936
20 × 8202
24 × 6835
30 × 5468
40 × 4101
60 × 2734
120 × 1367
First multiples
164,040 · 328,080 (double) · 492,120 · 656,160 · 820,200 · 984,240 · 1,148,280 · 1,312,320 · 1,476,360 · 1,640,400

Sums & aliquot sequence

As consecutive integers: 54,679 + 54,680 + 54,681 32,806 + 32,807 + 32,808 + 32,809 + 32,810 10,929 + 10,930 + … + 10,943 10,245 + 10,246 + … + 10,260
Aliquot sequence: 164,040 328,440 915,720 2,047,800 4,302,240 9,251,328 16,773,792 34,231,008 76,084,512 170,673,888 392,394,912 875,370,720 2,275,975,968 4,784,217,312 10,065,113,520 — keeps growing

Continued fraction of √n

√164,040 = [405; (54, 810)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand forty
Ordinal
164040th
Binary
101000000011001000
Octal
500310
Hexadecimal
0x280C8
Base64
AoDI
One's complement
4,294,803,255 (32-bit)
Scientific notation
1.6404 × 10⁵
As a duration
164,040 s = 1 day, 21 hours, 34 minutes
In other bases
ternary (3) 22100000120
quaternary (4) 220003020
quinary (5) 20222130
senary (6) 3303240
septenary (7) 1252152
nonary (9) 270016
undecimal (11) 102278
duodecimal (12) 7ab20
tridecimal (13) 59886
tetradecimal (14) 43ad2
pentadecimal (15) 33910

As an angle

164,040° = 455 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξδμʹ
Chinese
一十六萬四千零四十
Chinese (financial)
壹拾陸萬肆仟零肆拾
In other modern scripts
Eastern Arabic ١٦٤٠٤٠ Devanagari १६४०४० Bengali ১৬৪০৪০ Tamil ௧௬௪௦௪௦ Thai ๑๖๔๐๔๐ Tibetan ༡༦༤༠༤༠ Khmer ១៦៤០៤០ Lao ໑໖໔໐໔໐ Burmese ၁၆၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164040, here are decompositions:

  • 17 + 164023 = 164040
  • 29 + 164011 = 164040
  • 43 + 163997 = 164040
  • 47 + 163993 = 164040
  • 53 + 163987 = 164040
  • 59 + 163981 = 164040
  • 61 + 163979 = 164040
  • 67 + 163973 = 164040

Showing the first eight; more decompositions exist.

Unicode codepoint
𨃈
CJK Unified Ideograph-280C8
U+280C8
Other letter (Lo)

UTF-8 encoding: F0 A8 83 88 (4 bytes).

Hex color
#0280C8
RGB(2, 128, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.128.200.

Address
0.2.128.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.128.200

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 164,040 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 164040 first appears in π at position 188,272 of the decimal expansion (the 188,272ordinal-suffix:nd 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°.