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116,424

116,424 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.).

116,424 (one hundred sixteen thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 7² × 11. Its proper divisors sum to 293,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C6C8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
424,611
Square (n²)
13,554,547,776
Cube (n³)
1,578,074,670,273,024
Divisor count
96
σ(n) — sum of divisors
410,400
φ(n) — Euler's totient
30,240
Sum of prime factors
40

Primality

Prime factorization: 2 3 × 3 3 × 7 2 × 11

Nearest primes: 116,423 (−1) · 116,437 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 11 · 12 · 14 · 18 · 21 · 22 · 24 · 27 · 28 · 33 · 36 · 42 · 44 · 49 · 54 · 56 · 63 · 66 · 72 · 77 · 84 · 88 · 98 · 99 · 108 · 126 · 132 · 147 · 154 · 168 · 189 · 196 · 198 · 216 · 231 · 252 · 264 · 294 · 297 · 308 · 378 · 392 · 396 · 441 · 462 · 504 · 539 · 588 · 594 · 616 · 693 · 756 · 792 · 882 · 924 · 1078 · 1176 · 1188 · 1323 · 1386 · 1512 · 1617 · 1764 · 1848 · 2079 · 2156 · 2376 · 2646 · 2772 · 3234 · 3528 · 4158 · 4312 · 4851 · 5292 · 5544 · 6468 · 8316 · 9702 · 10584 · 12936 · 14553 · 16632 · 19404 · 29106 · 38808 · 58212 (half) · 116424
Aliquot sum (sum of proper divisors): 293,976
Factor pairs (a × b = 116,424)
1 × 116424
2 × 58212
3 × 38808
4 × 29106
6 × 19404
7 × 16632
8 × 14553
9 × 12936
11 × 10584
12 × 9702
14 × 8316
18 × 6468
21 × 5544
22 × 5292
24 × 4851
27 × 4312
28 × 4158
33 × 3528
36 × 3234
42 × 2772
44 × 2646
49 × 2376
54 × 2156
56 × 2079
63 × 1848
66 × 1764
72 × 1617
77 × 1512
84 × 1386
88 × 1323
98 × 1188
99 × 1176
108 × 1078
126 × 924
132 × 882
147 × 792
154 × 756
168 × 693
189 × 616
196 × 594
198 × 588
216 × 539
231 × 504
252 × 462
264 × 441
294 × 396
297 × 392
308 × 378
First multiples
116,424 · 232,848 (double) · 349,272 · 465,696 · 582,120 · 698,544 · 814,968 · 931,392 · 1,047,816 · 1,164,240

Sums & aliquot sequence

As a sum of two cubes: 18³ + 48³
As consecutive integers: 38,807 + 38,808 + 38,809 16,629 + 16,630 + … + 16,635 12,932 + 12,933 + … + 12,940 10,579 + 10,580 + … + 10,589
Aliquot sequence: 116,424 293,976 523,224 1,046,916 1,804,296 3,054,264 4,581,456 8,331,408 15,500,400 34,156,392 51,234,648 81,270,552 140,377,128 212,048,472 318,072,768 641,151,120 1,349,971,440 — unresolved within range

Continued fraction of √n

√116,424 = [341; (4, 1, 3, 2, 1, 3, 2, 1, 9, 2, 1, 13, 4, 75, 1, 1, 2, 1, 2, 26, 1, 12, 1, 26, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand four hundred twenty-four
Ordinal
116424th
Binary
11100011011001000
Octal
343310
Hexadecimal
0x1C6C8
Base64
AcbI
One's complement
4,294,850,871 (32-bit)
Scientific notation
1.16424 × 10⁵
As a duration
116,424 s = 1 day, 8 hours, 20 minutes, 24 seconds
In other bases
ternary (3) 12220201000
quaternary (4) 130123020
quinary (5) 12211144
senary (6) 2255000
septenary (7) 663300
nonary (9) 186630
undecimal (11) 7a520
duodecimal (12) 57460
tridecimal (13) 40cb9
tetradecimal (14) 30600
pentadecimal (15) 24769

As an angle

116,424° = 323 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛυκδʹ
Mayan (base 20)
𝋮·𝋫·𝋡·𝋤
Chinese
一十一萬六千四百二十四
Chinese (financial)
壹拾壹萬陸仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١١٦٤٢٤ Devanagari ११६४२४ Bengali ১১৬৪২৪ Tamil ௧௧௬௪௨௪ Thai ๑๑๖๔๒๔ Tibetan ༡༡༦༤༢༤ Khmer ១១៦៤២៤ Lao ໑໑໖໔໒໔ Burmese ၁၁၆၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116424, here are decompositions:

  • 13 + 116411 = 116424
  • 37 + 116387 = 116424
  • 43 + 116381 = 116424
  • 53 + 116371 = 116424
  • 73 + 116351 = 116424
  • 83 + 116341 = 116424
  • 131 + 116293 = 116424
  • 151 + 116273 = 116424

Showing the first eight; more decompositions exist.

Hex color
#01C6C8
RGB(1, 198, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.198.200.

Address
0.1.198.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.198.200

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 116,424 and was likely granted around 1871.

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

Position in π

The digit sequence 116424 first appears in π at position 92,716 of the decimal expansion (the 92,716ordinal-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°.