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164,720

164,720 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.).

164,720 (one hundred sixty-four thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 29 × 71. Its proper divisors sum to 237,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28370.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
27,461
Square (n²)
27,132,678,400
Cube (n³)
4,469,294,786,048,000
Divisor count
40
σ(n) — sum of divisors
401,760
φ(n) — Euler's totient
62,720
Sum of prime factors
113

Primality

Prime factorization: 2 4 × 5 × 29 × 71

Nearest primes: 164,707 (−13) · 164,729 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 29 · 40 · 58 · 71 · 80 · 116 · 142 · 145 · 232 · 284 · 290 · 355 · 464 · 568 · 580 · 710 · 1136 · 1160 · 1420 · 2059 · 2320 · 2840 · 4118 · 5680 · 8236 · 10295 · 16472 · 20590 · 32944 · 41180 · 82360 (half) · 164720
Aliquot sum (sum of proper divisors): 237,040
Factor pairs (a × b = 164,720)
1 × 164720
2 × 82360
4 × 41180
5 × 32944
8 × 20590
10 × 16472
16 × 10295
20 × 8236
29 × 5680
40 × 4118
58 × 2840
71 × 2320
80 × 2059
116 × 1420
142 × 1160
145 × 1136
232 × 710
284 × 580
290 × 568
355 × 464
First multiples
164,720 · 329,440 (double) · 494,160 · 658,880 · 823,600 · 988,320 · 1,153,040 · 1,317,760 · 1,482,480 · 1,647,200

Sums & aliquot sequence

As consecutive integers: 32,942 + 32,943 + 32,944 + 32,945 + 32,946 5,666 + 5,667 + … + 5,694 5,132 + 5,133 + … + 5,163 2,285 + 2,286 + … + 2,355
Aliquot sequence: 164,720 237,040 314,264 281,056 272,336 255,346 244,622 181,330 145,082 110,470 88,394 45,466 23,654 11,830 14,522 7,834 3,920 — unresolved within range

Continued fraction of √n

√164,720 = [405; (1, 5, 1, 810)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand seven hundred twenty
Ordinal
164720th
Binary
101000001101110000
Octal
501560
Hexadecimal
0x28370
Base64
AoNw
One's complement
4,294,802,575 (32-bit)
Scientific notation
1.6472 × 10⁵
As a duration
164,720 s = 1 day, 21 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 22100221202
quaternary (4) 220031300
quinary (5) 20232340
senary (6) 3310332
septenary (7) 1254143
nonary (9) 270852
undecimal (11) 102836
duodecimal (12) 7b3a8
tridecimal (13) 59c8a
tetradecimal (14) 4405a
pentadecimal (15) 33c15

As an angle

164,720° = 457 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξδψκʹ
Chinese
一十六萬四千七百二十
Chinese (financial)
壹拾陸萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٦٤٧٢٠ Devanagari १६४७२० Bengali ১৬৪৭২০ Tamil ௧௬௪௭௨௦ Thai ๑๖๔๗๒๐ Tibetan ༡༦༤༧༢༠ Khmer ១៦៤៧២០ Lao ໑໖໔໗໒໐ Burmese ၁၆၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164720, here are decompositions:

  • 13 + 164707 = 164720
  • 19 + 164701 = 164720
  • 37 + 164683 = 164720
  • 43 + 164677 = 164720
  • 67 + 164653 = 164720
  • 97 + 164623 = 164720
  • 103 + 164617 = 164720
  • 139 + 164581 = 164720

Showing the first eight; more decompositions exist.

Unicode codepoint
𨍰
CJK Unified Ideograph-28370
U+28370
Other letter (Lo)

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

Hex color
#028370
RGB(2, 131, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.112.

Address
0.2.131.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.131.112

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 164,720 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 164720 first appears in π at position 106,608 of the decimal expansion (the 106,608ordinal-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°.