Live analysis

113,440

113,440 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.).

113,440 (one hundred thirteen thousand four hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 709. Its proper divisors sum to 154,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB20.

Abundant Number Evil Number Gapful Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

113,428 113,429 113,430 113,431 113,432 113,433 113,434 113,435 113,436 113,437 113,438 113,439 113,440 113,441 113,442 113,443 113,444 113,445 113,446 113,447 113,448 113,449 113,450 113,451 113,452

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 44,311
Recamán's sequence: a(53,499) = 113,440
Square (n²): 12,868,633,600
Cube (n³): 1,459,817,795,584,000
Divisor count: 24
σ(n) — sum of divisors: 268,380
φ(n) — Euler's totient: 45,312
Sum of prime factors: 724

Primality

Prime factorization: 2 ⁵ × 5 × 709

Nearest primes: 113,437 (−3) · 113,453 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 709 · 1418 · 2836 · 3545 · 5672 · 7090 · 11344 · 14180 · 22688 · 28360 · 56720 (half) · 113440

Aliquot sum (sum of proper divisors): 154,940

Factor pairs (a × b = 113,440)

1 × 113440

2 × 56720

4 × 28360

5 × 22688

8 × 14180

10 × 11344

16 × 7090

20 × 5672

32 × 3545

40 × 2836

80 × 1418

160 × 709

First multiples

113,440 · 226,880 (double) · 340,320 · 453,760 · 567,200 · 680,640 · 794,080 · 907,520 · 1,020,960 · 1,134,400

Sums & aliquot sequence

As a sum of two squares: 92² + 324² = 204² + 268²

As consecutive integers: 22,686 + 22,687 + 22,688 + 22,689 + 22,690 1,741 + 1,742 + … + 1,804 195 + 196 + … + 514

Aliquot sequence: 113,440 → 154,940 → 178,372 → 150,348 → 260,916 → 384,204 → 524,004 → 793,116 → 1,211,796 → 1,929,888 → 3,559,050 → 6,886,710 → 11,018,970 → 19,186,470 → 32,405,994 → 41,107,446 → 50,242,554 — unresolved within range

Continued fraction of √n

√113,440 = [336; (1, 4, 4, 2, 10, 1, 3, 1, 1, 4, 1, 1, 1, 74, 4, 1, 41, 3, 3, 18, 2, 2, 3, 8, …)]

Representations

In words: one hundred thirteen thousand four hundred forty
Ordinal: 113440th
Binary: 11011101100100000
Octal: 335440
Hexadecimal: 0x1BB20
Base64: Absg
One's complement: 4,294,853,855 (32-bit)
Scientific notation: 1.1344 × 10⁵
As a duration: 113,440 s = 1 day, 7 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 12202121111

quaternary (4) 123230200

quinary (5) 12112230

senary (6) 2233104

septenary (7) 651505

nonary (9) 182544

undecimal (11) 78258

duodecimal (12) 55794

tridecimal (13) 3c832

tetradecimal (14) 2d4ac

pentadecimal (15) 2392a

As an angle

113,440° = 315 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγυμʹ
Mayan (base 20): 𝋮·𝋣·𝋬·𝋠
Chinese: 一十一萬三千四百四十
Chinese (financial): 壹拾壹萬參仟肆佰肆拾

In other modern scripts

Eastern Arabic ١١٣٤٤٠ Devanagari ११३४४० Bengali ১১৩৪৪০ Tamil ௧௧௩௪௪௦ Thai ๑๑๓๔๔๐ Tibetan ༡༡༣༤༤༠ Khmer ១១៣៤៤០ Lao ໑໑໓໔໔໐ Burmese ၁၁၃၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113440, here are decompositions:

3 + 113437 = 113440
23 + 113417 = 113440
59 + 113381 = 113440
83 + 113357 = 113440
113 + 113327 = 113440
227 + 113213 = 113440
251 + 113189 = 113440
263 + 113177 = 113440

Showing the first eight; more decompositions exist.

Hex color

#01BB20

RGB(1, 187, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.32.

Address: 0.1.187.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.32

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 113,440 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 US113,440 on Google Patents ↗ Look up on USPTO ↗