Live analysis

116,040

116,040 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.).

116,040 (one hundred sixteen thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 967. Its proper divisors sum to 232,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C548.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

116,028 116,029 116,030 116,031 116,032 116,033 116,034 116,035 116,036 116,037 116,038 116,039 116,040 116,041 116,042 116,043 116,044 116,045 116,046 116,047 116,048 116,049 116,050 116,051 116,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 40,611
Square (n²): 13,465,281,600
Cube (n³): 1,562,511,276,864,000
Divisor count: 32
σ(n) — sum of divisors: 348,480
φ(n) — Euler's totient: 30,912
Sum of prime factors: 981

Primality

Prime factorization: 2 ³ × 3 × 5 × 967

Nearest primes: 116,027 (−13) · 116,041 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 967 · 1934 · 2901 · 3868 · 4835 · 5802 · 7736 · 9670 · 11604 · 14505 · 19340 · 23208 · 29010 · 38680 · 58020 (half) · 116040

Aliquot sum (sum of proper divisors): 232,440

Factor pairs (a × b = 116,040)

1 × 116040

2 × 58020

3 × 38680

4 × 29010

5 × 23208

6 × 19340

8 × 14505

10 × 11604

12 × 9670

15 × 7736

20 × 5802

24 × 4835

30 × 3868

40 × 2901

60 × 1934

120 × 967

First multiples

116,040 · 232,080 (double) · 348,120 · 464,160 · 580,200 · 696,240 · 812,280 · 928,320 · 1,044,360 · 1,160,400

Sums & aliquot sequence

As consecutive integers: 38,679 + 38,680 + 38,681 23,206 + 23,207 + 23,208 + 23,209 + 23,210 7,729 + 7,730 + … + 7,743 7,245 + 7,246 + … + 7,260

Aliquot sequence: 116,040 → 232,440 → 523,560 → 1,047,480 → 2,754,120 → 5,669,880 → 11,813,160 → 23,626,680 → 64,777,800 → 138,111,000 → 315,661,800 → 710,611,800 → 1,569,242,280 → 3,138,484,920 → 6,830,826,600 → 16,029,585,240 — keeps growing

Continued fraction of √n

√116,040 = [340; (1, 1, 1, 4, 1, 4, 1, 4, 5, 1, 1, 13, 2, 1, 3, 2, 11, 1, 2, 1, 1, 1, 5, 11, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand forty
Ordinal: 116040th
Binary: 11100010101001000
Octal: 342510
Hexadecimal: 0x1C548
Base64: AcVI
One's complement: 4,294,851,255 (32-bit)
Scientific notation: 1.1604 × 10⁵
As a duration: 116,040 s = 1 day, 8 hours, 14 minutes

In other bases

ternary (3) 12220011210

quaternary (4) 130111020

quinary (5) 12203130

senary (6) 2253120

septenary (7) 662211

nonary (9) 186153

undecimal (11) 7a201

duodecimal (12) 571a0

tridecimal (13) 40a82

tetradecimal (14) 30408

pentadecimal (15) 245b0

As an angle

116,040° = 322 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριϛμʹ
Mayan (base 20): 𝋮·𝋪·𝋢·𝋠
Chinese: 一十一萬六千零四十
Chinese (financial): 壹拾壹萬陸仟零肆拾

In other modern scripts

Eastern Arabic ١١٦٠٤٠ Devanagari ११६०४० Bengali ১১৬০৪০ Tamil ௧௧௬௦௪௦ Thai ๑๑๖๐๔๐ Tibetan ༡༡༦༠༤༠ Khmer ១១៦០៤០ Lao ໑໑໖໐໔໐ Burmese ၁၁၆၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116040, here are decompositions:

13 + 116027 = 116040
31 + 116009 = 116040
53 + 115987 = 116040
59 + 115981 = 116040
61 + 115979 = 116040
107 + 115933 = 116040
109 + 115931 = 116040
137 + 115903 = 116040

Showing the first eight; more decompositions exist.

Hex color

#01C548

RGB(1, 197, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.72.

Address: 0.1.197.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.197.72

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 116,040 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 US116,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 116040 first appears in π at position 265,402 of the decimal expansion (the 265,402ordinal-suffix:nd 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 116040 on Pi Search ↗