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116,480

116,480 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.).

116,480 (one hundred sixteen thousand four hundred eighty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 5 × 7 × 13. Its proper divisors sum to 226,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C700.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
84,611
Square (n²)
13,567,590,400
Cube (n³)
1,580,352,929,792,000
Divisor count
72
σ(n) — sum of divisors
343,392
φ(n) — Euler's totient
36,864
Sum of prime factors
41

Primality

Prime factorization: 2 8 × 5 × 7 × 13

Nearest primes: 116,471 (−9) · 116,483 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 16 · 20 · 26 · 28 · 32 · 35 · 40 · 52 · 56 · 64 · 65 · 70 · 80 · 91 · 104 · 112 · 128 · 130 · 140 · 160 · 182 · 208 · 224 · 256 · 260 · 280 · 320 · 364 · 416 · 448 · 455 · 520 · 560 · 640 · 728 · 832 · 896 · 910 · 1040 · 1120 · 1280 · 1456 · 1664 · 1792 · 1820 · 2080 · 2240 · 2912 · 3328 · 3640 · 4160 · 4480 · 5824 · 7280 · 8320 · 8960 · 11648 · 14560 · 16640 · 23296 · 29120 · 58240 (half) · 116480
Aliquot sum (sum of proper divisors): 226,912
Factor pairs (a × b = 116,480)
1 × 116480
2 × 58240
4 × 29120
5 × 23296
7 × 16640
8 × 14560
10 × 11648
13 × 8960
14 × 8320
16 × 7280
20 × 5824
26 × 4480
28 × 4160
32 × 3640
35 × 3328
40 × 2912
52 × 2240
56 × 2080
64 × 1820
65 × 1792
70 × 1664
80 × 1456
91 × 1280
104 × 1120
112 × 1040
128 × 910
130 × 896
140 × 832
160 × 728
182 × 640
208 × 560
224 × 520
256 × 455
260 × 448
280 × 416
320 × 364
First multiples
116,480 · 232,960 (double) · 349,440 · 465,920 · 582,400 · 698,880 · 815,360 · 931,840 · 1,048,320 · 1,164,800

Sums & aliquot sequence

As consecutive integers: 23,294 + 23,295 + 23,296 + 23,297 + 23,298 16,637 + 16,638 + … + 16,643 8,954 + 8,955 + … + 8,966 3,311 + 3,312 + … + 3,345
Aliquot sequence: 116,480 226,912 284,144 370,576 432,944 405,916 471,884 522,676 618,380 894,628 919,772 943,012 943,068 1,619,492 1,619,548 1,677,788 1,677,844 — unresolved within range

Continued fraction of √n

√116,480 = [341; (3, 2, 3, 682)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand four hundred eighty
Ordinal
116480th
Binary
11100011100000000
Octal
343400
Hexadecimal
0x1C700
Base64
AccA
One's complement
4,294,850,815 (32-bit)
Scientific notation
1.1648 × 10⁵
As a duration
116,480 s = 1 day, 8 hours, 21 minutes, 20 seconds
In other bases
ternary (3) 12220210002
quaternary (4) 130130000
quinary (5) 12211410
senary (6) 2255132
septenary (7) 663410
nonary (9) 186702
undecimal (11) 7a571
duodecimal (12) 574a8
tridecimal (13) 41030
tetradecimal (14) 30640
pentadecimal (15) 247a5

As an angle

116,480° = 323 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριϛυπʹ
Mayan (base 20)
𝋮·𝋫·𝋤·𝋠
Chinese
一十一萬六千四百八十
Chinese (financial)
壹拾壹萬陸仟肆佰捌拾
In other modern scripts
Eastern Arabic ١١٦٤٨٠ Devanagari ११६४८० Bengali ১১৬৪৮০ Tamil ௧௧௬௪௮௦ Thai ๑๑๖๔๘๐ Tibetan ༡༡༦༤༨༠ Khmer ១១៦៤៨០ Lao ໑໑໖໔໘໐ Burmese ၁၁၆၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116480, here are decompositions:

  • 19 + 116461 = 116480
  • 37 + 116443 = 116480
  • 43 + 116437 = 116480
  • 109 + 116371 = 116480
  • 139 + 116341 = 116480
  • 151 + 116329 = 116480
  • 211 + 116269 = 116480
  • 223 + 116257 = 116480

Showing the first eight; more decompositions exist.

Hex color
#01C700
RGB(1, 199, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.199.0.

Address
0.1.199.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.199.0

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 116,480 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 116480 first appears in π at position 424,418 of the decimal expansion (the 424,418ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.