Live analysis

117,840

117,840 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.).

117,840 (one hundred seventeen thousand eight hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 491. Its proper divisors sum to 248,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC50.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

117,828 117,829 117,830 117,831 117,832 117,833 117,834 117,835 117,836 117,837 117,838 117,839 117,840 117,841 117,842 117,843 117,844 117,845 117,846 117,847 117,848 117,849 117,850 117,851 117,852

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 48,711
Square (n²): 13,886,265,600
Cube (n³): 1,636,357,538,304,000
Divisor count: 40
σ(n) — sum of divisors: 366,048
φ(n) — Euler's totient: 31,360
Sum of prime factors: 507

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 491

Nearest primes: 117,839 (−1) · 117,841 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 491 · 982 · 1473 · 1964 · 2455 · 2946 · 3928 · 4910 · 5892 · 7365 · 7856 · 9820 · 11784 · 14730 · 19640 · 23568 · 29460 · 39280 · 58920 (half) · 117840

Aliquot sum (sum of proper divisors): 248,208

Factor pairs (a × b = 117,840)

1 × 117840

2 × 58920

3 × 39280

4 × 29460

5 × 23568

6 × 19640

8 × 14730

10 × 11784

12 × 9820

15 × 7856

16 × 7365

20 × 5892

24 × 4910

30 × 3928

40 × 2946

48 × 2455

60 × 1964

80 × 1473

120 × 982

240 × 491

First multiples

117,840 · 235,680 (double) · 353,520 · 471,360 · 589,200 · 707,040 · 824,880 · 942,720 · 1,060,560 · 1,178,400

Sums & aliquot sequence

As consecutive integers: 39,279 + 39,280 + 39,281 23,566 + 23,567 + 23,568 + 23,569 + 23,570 7,849 + 7,850 + … + 7,863 3,667 + 3,668 + … + 3,698

Aliquot sequence: 117,840 → 248,208 → 393,120 → 1,300,320 → 4,021,920 → 13,214,880 → 44,845,920 → 134,658,720 → 420,305,760 → 1,331,642,592 → 3,340,219,680 → 10,184,789,664 — keeps growing

Continued fraction of √n

√117,840 = [343; (3, 1, 1, 2, 5, 2, 1, 1, 1, 2, 4, 1, 1, 10, 5, 1, 2, 13, 1, 1, 1, 13, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand eight hundred forty
Ordinal: 117840th
Binary: 11100110001010000
Octal: 346120
Hexadecimal: 0x1CC50
Base64: AcxQ
One's complement: 4,294,849,455 (32-bit)
Scientific notation: 1.1784 × 10⁵
As a duration: 117,840 s = 1 day, 8 hours, 44 minutes

In other bases

ternary (3) 12222122110

quaternary (4) 130301100

quinary (5) 12232330

senary (6) 2305320

septenary (7) 1000362

nonary (9) 188573

undecimal (11) 80598

duodecimal (12) 58240

tridecimal (13) 41838

tetradecimal (14) 30d32

pentadecimal (15) 24db0

As an angle

117,840° = 327 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριζωμʹ
Mayan (base 20): 𝋮·𝋮·𝋬·𝋠
Chinese: 一十一萬七千八百四十
Chinese (financial): 壹拾壹萬柒仟捌佰肆拾

In other modern scripts

Eastern Arabic ١١٧٨٤٠ Devanagari ११७८४० Bengali ১১৭৮৪০ Tamil ௧௧௭௮௪௦ Thai ๑๑๗๘๔๐ Tibetan ༡༡༧༨༤༠ Khmer ១១៧៨៤០ Lao ໑໑໗໘໔໐ Burmese ၁၁၇၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117840, here are decompositions:

7 + 117833 = 117840
29 + 117811 = 117840
31 + 117809 = 117840
43 + 117797 = 117840
53 + 117787 = 117840
61 + 117779 = 117840
67 + 117773 = 117840
83 + 117757 = 117840

Showing the first eight; more decompositions exist.

Unicode codepoint

𜱐

Alien Crab Stepping Right

U+1CC50

Other symbol (So)

UTF-8 encoding: F0 9C B1 90 (4 bytes).

Lookup U+1CC50 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01CC50

RGB(1, 204, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.80.

Address: 0.1.204.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.204.80

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 117,840 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 US117,840 on Google Patents ↗ Look up on USPTO ↗