Live analysis

117,090

117,090 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.).

117,090 (one hundred seventeen thousand ninety) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 5 × 1,301. Its proper divisors sum to 187,578, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C962.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

117,078 117,079 117,080 117,081 117,082 117,083 117,084 117,085 117,086 117,087 117,088 117,089 117,090 117,091 117,092 117,093 117,094 117,095 117,096 117,097 117,098 117,099 117,100 117,101 117,102

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Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 90,711
Square (n²): 13,710,068,100
Cube (n³): 1,605,311,873,829,000
Divisor count: 24
σ(n) — sum of divisors: 304,668
φ(n) — Euler's totient: 31,200
Sum of prime factors: 1,314

Primality

Prime factorization: 2 × 3 ² × 5 × 1301

Nearest primes: 117,071 (−19) · 117,101 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 30 · 45 · 90 · 1301 · 2602 · 3903 · 6505 · 7806 · 11709 · 13010 · 19515 · 23418 · 39030 · 58545 (half) · 117090

Aliquot sum (sum of proper divisors): 187,578

Factor pairs (a × b = 117,090)

1 × 117090

2 × 58545

3 × 39030

5 × 23418

6 × 19515

9 × 13010

10 × 11709

15 × 7806

18 × 6505

30 × 3903

45 × 2602

90 × 1301

First multiples

117,090 · 234,180 (double) · 351,270 · 468,360 · 585,450 · 702,540 · 819,630 · 936,720 · 1,053,810 · 1,170,900

Sums & aliquot sequence

As a sum of two squares: 147² + 309² = 159² + 303²

As consecutive integers: 39,029 + 39,030 + 39,031 29,271 + 29,272 + 29,273 + 29,274 23,416 + 23,417 + 23,418 + 23,419 + 23,420 13,006 + 13,007 + … + 13,014

Aliquot sequence: 117,090 → 187,578 → 243,450 → 411,828 → 549,132 → 753,204 → 1,081,356 → 1,470,564 → 2,246,786 → 1,155,214 → 658,754 → 334,414 → 169,874 → 87,034 → 43,520 → 66,964 → 50,230 — unresolved within range

Continued fraction of √n

√117,090 = [342; (5, 2, 3, 13, 1, 2, 10, 5, 2, 1, 75, 2, 1, 4, 1, 3, 4, 2, 2, 1, 6, 1, 48, 76, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand ninety
Ordinal: 117090th
Binary: 11100100101100010
Octal: 344542
Hexadecimal: 0x1C962
Base64: Acli
One's complement: 4,294,850,205 (32-bit)
Scientific notation: 1.1709 × 10⁵
As a duration: 117,090 s = 1 day, 8 hours, 31 minutes, 30 seconds

In other bases

ternary (3) 12221121200

quaternary (4) 130211202

quinary (5) 12221330

senary (6) 2302030

septenary (7) 665241

nonary (9) 187550

undecimal (11) 7aa76

duodecimal (12) 57916

tridecimal (13) 413ac

tetradecimal (14) 30958

pentadecimal (15) 24a60

As an angle

117,090° = 325 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριζϟʹ
Mayan (base 20): 𝋮·𝋬·𝋮·𝋪
Chinese: 一十一萬七千零九十
Chinese (financial): 壹拾壹萬柒仟零玖拾

In other modern scripts

Eastern Arabic ١١٧٠٩٠ Devanagari ११७०९० Bengali ১১৭০৯০ Tamil ௧௧௭௦௯௦ Thai ๑๑๗๐๙๐ Tibetan ༡༡༧༠༩༠ Khmer ១១៧០៩០ Lao ໑໑໗໐໙໐ Burmese ၁၁၇၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117090, here are decompositions:

19 + 117071 = 117090
37 + 117053 = 117090
47 + 117043 = 117090
53 + 117037 = 117090
67 + 117023 = 117090
73 + 117017 = 117090
97 + 116993 = 117090
101 + 116989 = 117090

Showing the first eight; more decompositions exist.

Hex color

#01C962

RGB(1, 201, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.98.

Address: 0.1.201.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.98

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 117,090 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 US117,090 on Google Patents ↗ Look up on USPTO ↗