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116,816

116,816 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.).

116,816 (one hundred sixteen thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 7² × 149. Its proper divisors sum to 148,234, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C850.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
288
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
618,611
Flips to (rotate 180°)
918,911
Square (n²)
13,645,977,856
Cube (n³)
1,594,068,549,226,496
Divisor count
30
σ(n) — sum of divisors
265,050
φ(n) — Euler's totient
49,728
Sum of prime factors
171

Primality

Prime factorization: 2 4 × 7 2 × 149

Nearest primes: 116,803 (−13) · 116,819 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 49 · 56 · 98 · 112 · 149 · 196 · 298 · 392 · 596 · 784 · 1043 · 1192 · 2086 · 2384 · 4172 · 7301 · 8344 · 14602 · 16688 · 29204 · 58408 (half) · 116816
Aliquot sum (sum of proper divisors): 148,234
Factor pairs (a × b = 116,816)
1 × 116816
2 × 58408
4 × 29204
7 × 16688
8 × 14602
14 × 8344
16 × 7301
28 × 4172
49 × 2384
56 × 2086
98 × 1192
112 × 1043
149 × 784
196 × 596
298 × 392
First multiples
116,816 · 233,632 (double) · 350,448 · 467,264 · 584,080 · 700,896 · 817,712 · 934,528 · 1,051,344 · 1,168,160

Sums & aliquot sequence

As a sum of two squares: 196² + 280²
As consecutive integers: 16,685 + 16,686 + … + 16,691 3,635 + 3,636 + … + 3,666 2,360 + 2,361 + … + 2,408 710 + 711 + … + 858
Aliquot sequence: 116,816 148,234 76,154 52,366 26,186 13,096 11,474 5,740 8,372 10,444 10,500 24,444 46,900 71,148 141,120 423,522 682,398 — unresolved within range

Continued fraction of √n

√116,816 = [341; (1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 13, 1, 13, 1, 1, 1, 1, 2, 1, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand eight hundred sixteen
Ordinal
116816th
Binary
11100100001010000
Octal
344120
Hexadecimal
0x1C850
Base64
AchQ
One's complement
4,294,850,479 (32-bit)
Scientific notation
1.16816 × 10⁵
As a duration
116,816 s = 1 day, 8 hours, 26 minutes, 56 seconds
In other bases
ternary (3) 12221020112
quaternary (4) 130201100
quinary (5) 12214231
senary (6) 2300452
septenary (7) 664400
nonary (9) 187215
undecimal (11) 7a847
duodecimal (12) 57728
tridecimal (13) 4122b
tetradecimal (14) 30800
pentadecimal (15) 2492b

As an angle

116,816° = 324 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛωιϛʹ
Mayan (base 20)
𝋮·𝋬·𝋠·𝋰
Chinese
一十一萬六千八百一十六
Chinese (financial)
壹拾壹萬陸仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٦٨١٦ Devanagari ११६८१६ Bengali ১১৬৮১৬ Tamil ௧௧௬௮௧௬ Thai ๑๑๖๘๑๖ Tibetan ༡༡༦༨༡༦ Khmer ១១៦៨១៦ Lao ໑໑໖໘໑໖ Burmese ၁၁၆၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116816, here are decompositions:

  • 13 + 116803 = 116816
  • 19 + 116797 = 116816
  • 97 + 116719 = 116816
  • 109 + 116707 = 116816
  • 127 + 116689 = 116816
  • 223 + 116593 = 116816
  • 277 + 116539 = 116816
  • 283 + 116533 = 116816

Showing the first eight; more decompositions exist.

Hex color
#01C850
RGB(1, 200, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.80.

Address
0.1.200.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.200.80

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 116,816 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 116816 first appears in π at position 34,311 of the decimal expansion (the 34,311ordinal-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.