Live analysis

113,940

113,940 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.).

113,940 (one hundred thirteen thousand nine hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 5 × 211. Its proper divisors sum to 242,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD14.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113,928 113,929 113,930 113,931 113,932 113,933 113,934 113,935 113,936 113,937 113,938 113,939 113,940 113,941 113,942 113,943 113,944 113,945 113,946 113,947 113,948 113,949 113,950 113,951 113,952

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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: 49,311
Recamán's sequence: a(56,667) = 113,940
Square (n²): 12,982,323,600
Cube (n³): 1,479,205,950,984,000
Divisor count: 48
σ(n) — sum of divisors: 356,160
φ(n) — Euler's totient: 30,240
Sum of prime factors: 229

Primality

Prime factorization: 2 ² × 3 ³ × 5 × 211

Nearest primes: 113,933 (−7) · 113,947 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 90 · 108 · 135 · 180 · 211 · 270 · 422 · 540 · 633 · 844 · 1055 · 1266 · 1899 · 2110 · 2532 · 3165 · 3798 · 4220 · 5697 · 6330 · 7596 · 9495 · 11394 · 12660 · 18990 · 22788 · 28485 · 37980 · 56970 (half) · 113940

Aliquot sum (sum of proper divisors): 242,220

Factor pairs (a × b = 113,940)

1 × 113940

2 × 56970

3 × 37980

4 × 28485

5 × 22788

6 × 18990

9 × 12660

10 × 11394

12 × 9495

15 × 7596

18 × 6330

20 × 5697

27 × 4220

30 × 3798

36 × 3165

45 × 2532

54 × 2110

60 × 1899

90 × 1266

108 × 1055

135 × 844

180 × 633

211 × 540

270 × 422

First multiples

113,940 · 227,880 (double) · 341,820 · 455,760 · 569,700 · 683,640 · 797,580 · 911,520 · 1,025,460 · 1,139,400

Sums & aliquot sequence

As consecutive integers: 37,979 + 37,980 + 37,981 22,786 + 22,787 + 22,788 + 22,789 + 22,790 14,239 + 14,240 + … + 14,246 12,656 + 12,657 + … + 12,664

Aliquot sequence: 113,940 → 242,220 → 499,668 → 756,300 → 1,432,796 → 1,089,724 → 880,076 → 660,064 → 639,500 → 758,260 → 886,796 → 746,164 → 636,560 → 877,480 → 1,096,940 → 1,384,420 → 1,522,904 — unresolved within range

Continued fraction of √n

√113,940 = [337; (1, 1, 4, 1, 1, 674)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand nine hundred forty
Ordinal: 113940th
Binary: 11011110100010100
Octal: 336424
Hexadecimal: 0x1BD14
Base64: Ab0U
One's complement: 4,294,853,355 (32-bit)
Scientific notation: 1.1394 × 10⁵
As a duration: 113,940 s = 1 day, 7 hours, 39 minutes

In other bases

ternary (3) 12210022000

quaternary (4) 123310110

quinary (5) 12121230

senary (6) 2235300

septenary (7) 653121

nonary (9) 183260

undecimal (11) 78672

duodecimal (12) 55b30

tridecimal (13) 3cb28

tetradecimal (14) 2d748

pentadecimal (15) 23b60

As an angle

113,940° = 316 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγϡμʹ
Mayan (base 20): 𝋮·𝋤·𝋱·𝋠
Chinese: 一十一萬三千九百四十
Chinese (financial): 壹拾壹萬參仟玖佰肆拾

In other modern scripts

Eastern Arabic ١١٣٩٤٠ Devanagari ११३९४० Bengali ১১৩৯৪০ Tamil ௧௧௩௯௪௦ Thai ๑๑๓๙๔๐ Tibetan ༡༡༣༩༤༠ Khmer ១១៣៩៤០ Lao ໑໑໓໙໔໐ Burmese ၁၁၃၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113940, here are decompositions:

7 + 113933 = 113940
19 + 113921 = 113940
31 + 113909 = 113940
37 + 113903 = 113940
41 + 113899 = 113940
97 + 113843 = 113940
103 + 113837 = 113940
131 + 113809 = 113940

Showing the first eight; more decompositions exist.

Hex color

#01BD14

RGB(1, 189, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.20.

Address: 0.1.189.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.189.20

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 113,940 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 US113,940 on Google Patents ↗ Look up on USPTO ↗