Live analysis

113,840

113,840 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.).

113,840 (one hundred thirteen thousand eight hundred forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,423. Its proper divisors sum to 151,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BCB0.

Abundant Number Gapful Number Happy Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,828 113,829 113,830 113,831 113,832 113,833 113,834 113,835 113,836 113,837 113,838 113,839 113,840 113,841 113,842 113,843 113,844 113,845 113,846 113,847 113,848 113,849 113,850 113,851 113,852

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 48,311
Recamán's sequence: a(56,471) = 113,840
Square (n²): 12,959,545,600
Cube (n³): 1,475,314,671,104,000
Divisor count: 20
σ(n) — sum of divisors: 264,864
φ(n) — Euler's totient: 45,504
Sum of prime factors: 1,436

Primality

Prime factorization: 2 ⁴ × 5 × 1423

Nearest primes: 113,837 (−3) · 113,843 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1423 · 2846 · 5692 · 7115 · 11384 · 14230 · 22768 · 28460 · 56920 (half) · 113840

Aliquot sum (sum of proper divisors): 151,024

Factor pairs (a × b = 113,840)

1 × 113840

2 × 56920

4 × 28460

5 × 22768

8 × 14230

10 × 11384

16 × 7115

20 × 5692

40 × 2846

80 × 1423

First multiples

113,840 · 227,680 (double) · 341,520 · 455,360 · 569,200 · 683,040 · 796,880 · 910,720 · 1,024,560 · 1,138,400

Sums & aliquot sequence

As consecutive integers: 22,766 + 22,767 + 22,768 + 22,769 + 22,770 3,542 + 3,543 + … + 3,573 632 + 633 + … + 791

Aliquot sequence: 113,840 → 151,024 → 141,616 → 139,616 → 135,316 → 101,494 → 55,754 → 29,434 → 14,720 → 22,000 → 36,032 → 35,596 → 32,444 → 24,340 → 26,816 → 26,524 → 22,476 — unresolved within range

Continued fraction of √n

√113,840 = [337; (2, 2, 21, 2, 1, 2, 1, 1, 3, 1, 8, 10, 3, 1, 2, 1, 3, 2, 14, 1, 8, 1, 1, 3, …)]

Representations

In words: one hundred thirteen thousand eight hundred forty
Ordinal: 113840th
Binary: 11011110010110000
Octal: 336260
Hexadecimal: 0x1BCB0
Base64: Abyw
One's complement: 4,294,853,455 (32-bit)
Scientific notation: 1.1384 × 10⁵
As a duration: 113,840 s = 1 day, 7 hours, 37 minutes, 20 seconds

In other bases

ternary (3) 12210011022

quaternary (4) 123302300

quinary (5) 12120330

senary (6) 2235012

septenary (7) 652616

nonary (9) 183138

undecimal (11) 78591

duodecimal (12) 55a68

tridecimal (13) 3ca7c

tetradecimal (14) 2d6b6

pentadecimal (15) 23ae5

As an angle

113,840° = 316 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγωμʹ
Mayan (base 20): 𝋮·𝋤·𝋬·𝋠
Chinese: 一十一萬三千八百四十
Chinese (financial): 壹拾壹萬參仟捌佰肆拾

In other modern scripts

Eastern Arabic ١١٣٨٤٠ Devanagari ११३८४० Bengali ১১৩৮৪০ Tamil ௧௧௩௮௪௦ Thai ๑๑๓๘๔๐ Tibetan ༡༡༣༨༤༠ Khmer ១១៣៨៤០ Lao ໑໑໓໘໔໐ Burmese ၁၁၃၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113840, here are decompositions:

3 + 113837 = 113840
31 + 113809 = 113840
43 + 113797 = 113840
61 + 113779 = 113840
79 + 113761 = 113840
109 + 113731 = 113840
157 + 113683 = 113840
193 + 113647 = 113840

Showing the first eight; more decompositions exist.

Hex color

#01BCB0

RGB(1, 188, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.176.

Address: 0.1.188.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.188.176

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 113,840 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 US113,840 on Google Patents ↗ Look up on USPTO ↗