Live analysis

116,000

116,000 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.).

116,000 (one hundred sixteen thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 29. Its proper divisors sum to 178,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C520.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

115,988 115,989 115,990 115,991 115,992 115,993 115,994 115,995 115,996 115,997 115,998 115,999 116,000 116,001 116,002 116,003 116,004 116,005 116,006 116,007 116,008 116,009 116,010 116,011 116,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 611
Flips to (rotate 180°): 911
Square (n²): 13,456,000,000
Cube (n³): 1,560,896,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 294,840
φ(n) — Euler's totient: 44,800
Sum of prime factors: 54

Primality

Prime factorization: 2 ⁵ × 5 ³ × 29

Nearest primes: 115,987 (−13) · 116,009 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 29 · 32 · 40 · 50 · 58 · 80 · 100 · 116 · 125 · 145 · 160 · 200 · 232 · 250 · 290 · 400 · 464 · 500 · 580 · 725 · 800 · 928 · 1000 · 1160 · 1450 · 2000 · 2320 · 2900 · 3625 · 4000 · 4640 · 5800 · 7250 · 11600 · 14500 · 23200 · 29000 · 58000 (half) · 116000

Aliquot sum (sum of proper divisors): 178,840

Factor pairs (a × b = 116,000)

1 × 116000

2 × 58000

4 × 29000

5 × 23200

8 × 14500

10 × 11600

16 × 7250

20 × 5800

25 × 4640

29 × 4000

32 × 3625

40 × 2900

50 × 2320

58 × 2000

80 × 1450

100 × 1160

116 × 1000

125 × 928

145 × 800

160 × 725

200 × 580

232 × 500

250 × 464

290 × 400

First multiples

116,000 · 232,000 (double) · 348,000 · 464,000 · 580,000 · 696,000 · 812,000 · 928,000 · 1,044,000 · 1,160,000

Sums & aliquot sequence

As a sum of two squares: 20² + 340² = 76² + 332² = 188² + 284² = 220² + 260²

As consecutive integers: 23,198 + 23,199 + 23,200 + 23,201 + 23,202 4,628 + 4,629 + … + 4,652 3,986 + 3,987 + … + 4,014 1,781 + 1,782 + … + 1,844

Aliquot sequence: 116,000 → 178,840 → 248,840 → 311,140 → 358,172 → 273,844 → 209,100 → 447,108 → 702,012 → 1,022,788 → 1,052,432 → 986,686 → 497,594 → 248,800 → 360,536 → 423,544 → 442,976 — unresolved within range

Continued fraction of √n

√116,000 = [340; (1, 1, 2, 2, 1, 6, 9, 2, 4, 27, 42, 1, 1, 6, 3, 3, 1, 2, 2, 26, 1, 4, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand
Ordinal: 116000th
Binary: 11100010100100000
Octal: 342440
Hexadecimal: 0x1C520
Base64: AcUg
One's complement: 4,294,851,295 (32-bit)
Scientific notation: 1.16 × 10⁵
As a duration: 116,000 s = 1 day, 8 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 12220010022

quaternary (4) 130110200

quinary (5) 12203000

senary (6) 2253012

septenary (7) 662123

nonary (9) 186108

undecimal (11) 7a175

duodecimal (12) 57168

tridecimal (13) 40a51

tetradecimal (14) 303ba

pentadecimal (15) 24585

As an angle

116,000° = 322 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ριϛ
Mayan (base 20): 𝋮·𝋪·𝋠·𝋠
Chinese: 一十一萬六千
Chinese (financial): 壹拾壹萬陸仟

In other modern scripts

Eastern Arabic ١١٦٠٠٠ Devanagari ११६००० Bengali ১১৬০০০ Tamil ௧௧௬௦௦௦ Thai ๑๑๖๐๐๐ Tibetan ༡༡༦༠༠༠ Khmer ១១៦០០០ Lao ໑໑໖໐໐໐ Burmese ၁၁၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116000, here are decompositions:

13 + 115987 = 116000
19 + 115981 = 116000
37 + 115963 = 116000
67 + 115933 = 116000
97 + 115903 = 116000
109 + 115891 = 116000
127 + 115873 = 116000
139 + 115861 = 116000

Showing the first eight; more decompositions exist.

Hex color

#01C520

RGB(1, 197, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.32.

Address: 0.1.197.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.197.32

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 116,000 and was likely granted around 1871.

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

Look up US116,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 116000 first appears in π at position 406,838 of the decimal expansion (the 406,838ordinal-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.

Look up 116000 on Pi Search ↗