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168,720

168,720 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.).

168,720 (one hundred sixty-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 19 × 37. Its proper divisors sum to 396,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29310.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
27,861
Square (n²)
28,466,438,400
Cube (n³)
4,802,857,486,848,000
Divisor count
80
σ(n) — sum of divisors
565,440
φ(n) — Euler's totient
41,472
Sum of prime factors
72

Primality

Prime factorization: 2 4 × 3 × 5 × 19 × 37

Nearest primes: 168,719 (−1) · 168,731 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 19 · 20 · 24 · 30 · 37 · 38 · 40 · 48 · 57 · 60 · 74 · 76 · 80 · 95 · 111 · 114 · 120 · 148 · 152 · 185 · 190 · 222 · 228 · 240 · 285 · 296 · 304 · 370 · 380 · 444 · 456 · 555 · 570 · 592 · 703 · 740 · 760 · 888 · 912 · 1110 · 1140 · 1406 · 1480 · 1520 · 1776 · 2109 · 2220 · 2280 · 2812 · 2960 · 3515 · 4218 · 4440 · 4560 · 5624 · 7030 · 8436 · 8880 · 10545 · 11248 · 14060 · 16872 · 21090 · 28120 · 33744 · 42180 · 56240 · 84360 (half) · 168720
Aliquot sum (sum of proper divisors): 396,720
Factor pairs (a × b = 168,720)
1 × 168720
2 × 84360
3 × 56240
4 × 42180
5 × 33744
6 × 28120
8 × 21090
10 × 16872
12 × 14060
15 × 11248
16 × 10545
19 × 8880
20 × 8436
24 × 7030
30 × 5624
37 × 4560
38 × 4440
40 × 4218
48 × 3515
57 × 2960
60 × 2812
74 × 2280
76 × 2220
80 × 2109
95 × 1776
111 × 1520
114 × 1480
120 × 1406
148 × 1140
152 × 1110
185 × 912
190 × 888
222 × 760
228 × 740
240 × 703
285 × 592
296 × 570
304 × 555
370 × 456
380 × 444
First multiples
168,720 · 337,440 (double) · 506,160 · 674,880 · 843,600 · 1,012,320 · 1,181,040 · 1,349,760 · 1,518,480 · 1,687,200

Sums & aliquot sequence

As consecutive integers: 56,239 + 56,240 + 56,241 33,742 + 33,743 + 33,744 + 33,745 + 33,746 11,241 + 11,242 + … + 11,255 8,871 + 8,872 + … + 8,889
Aliquot sequence: 168,720 396,720 1,054,080 2,740,320 7,520,112 13,526,160 28,405,680 60,945,744 96,497,552 92,835,568 112,729,152 185,533,904 173,938,066 87,536,378 43,808,902 21,904,454 20,431,546 — unresolved within range

Continued fraction of √n

√168,720 = [410; (1, 3, 11, 3, 8, 3, 11, 3, 1, 820)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-eight thousand seven hundred twenty
Ordinal
168720th
Binary
101001001100010000
Octal
511420
Hexadecimal
0x29310
Base64
ApMQ
One's complement
4,294,798,575 (32-bit)
Scientific notation
1.6872 × 10⁵
As a duration
168,720 s = 1 day, 22 hours, 52 minutes
In other bases
ternary (3) 22120102220
quaternary (4) 221030100
quinary (5) 20344340
senary (6) 3341040
septenary (7) 1301616
nonary (9) 276386
undecimal (11) 105842
duodecimal (12) 81780
tridecimal (13) 5ba46
tetradecimal (14) 456b6
pentadecimal (15) 34ed0

As an angle

168,720° = 468 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξηψκʹ
Chinese
一十六萬八千七百二十
Chinese (financial)
壹拾陸萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٦٨٧٢٠ Devanagari १६८७२० Bengali ১৬৮৭২০ Tamil ௧௬௮௭௨௦ Thai ๑๖๘๗๒๐ Tibetan ༡༦༨༧༢༠ Khmer ១៦៨៧២០ Lao ໑໖໘໗໒໐ Burmese ၁၆၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 168720, here are decompositions:

  • 7 + 168713 = 168720
  • 23 + 168697 = 168720
  • 43 + 168677 = 168720
  • 47 + 168673 = 168720
  • 89 + 168631 = 168720
  • 103 + 168617 = 168720
  • 179 + 168541 = 168720
  • 193 + 168527 = 168720

Showing the first eight; more decompositions exist.

Unicode codepoint
𩌐
CJK Unified Ideograph-29310
U+29310
Other letter (Lo)

UTF-8 encoding: F0 A9 8C 90 (4 bytes).

Hex color
#029310
RGB(2, 147, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.147.16.

Address
0.2.147.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.147.16

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 168,720 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.