Live analysis

112,320

112,320 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.).

112,320 (one hundred twelve thousand three hundred twenty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3³ × 5 × 13. Its proper divisors sum to 314,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B6C0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

112,308 112,309 112,310 112,311 112,312 112,313 112,314 112,315 112,316 112,317 112,318 112,319 112,320 112,321 112,322 112,323 112,324 112,325 112,326 112,327 112,328 112,329 112,330 112,331 112,332

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Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 23,211
Square (n²): 12,615,782,400
Cube (n³): 1,417,004,679,168,000
Divisor count: 112
σ(n) — sum of divisors: 426,720
φ(n) — Euler's totient: 27,648
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁶ × 3 ³ × 5 × 13

Nearest primes: 112,303 (−17) · 112,327 (+7)

Divisors & multiples

All divisors (112)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 16 · 18 · 20 · 24 · 26 · 27 · 30 · 32 · 36 · 39 · 40 · 45 · 48 · 52 · 54 · 60 · 64 · 65 · 72 · 78 · 80 · 90 · 96 · 104 · 108 · 117 · 120 · 130 · 135 · 144 · 156 · 160 · 180 · 192 · 195 · 208 · 216 · 234 · 240 · 260 · 270 · 288 · 312 · 320 · 351 · 360 · 390 · 416 · 432 · 468 · 480 · 520 · 540 · 576 · 585 · 624 · 702 · 720 · 780 · 832 · 864 · 936 · 960 · 1040 · 1080 · 1170 · 1248 · 1404 · 1440 · 1560 · 1728 · 1755 · 1872 · 2080 · 2160 · 2340 · 2496 · 2808 · 2880 · 3120 · 3510 · 3744 · 4160 · 4320 · 4680 · 5616 · 6240 · 7020 · 7488 · 8640 · 9360 · 11232 · 12480 · 14040 · 18720 · 22464 · 28080 · 37440 · 56160 (half) · 112320

Aliquot sum (sum of proper divisors): 314,400

Factor pairs (a × b = 112,320)

1 × 112320

2 × 56160

3 × 37440

4 × 28080

5 × 22464

6 × 18720

8 × 14040

9 × 12480

10 × 11232

12 × 9360

13 × 8640

15 × 7488

16 × 7020

18 × 6240

20 × 5616

24 × 4680

26 × 4320

27 × 4160

30 × 3744

32 × 3510

36 × 3120

39 × 2880

40 × 2808

45 × 2496

48 × 2340

52 × 2160

54 × 2080

60 × 1872

64 × 1755

65 × 1728

72 × 1560

78 × 1440

80 × 1404

90 × 1248

96 × 1170

104 × 1080

108 × 1040

117 × 960

120 × 936

130 × 864

135 × 832

144 × 780

156 × 720

160 × 702

180 × 624

192 × 585

195 × 576

208 × 540

216 × 520

234 × 480

240 × 468

260 × 432

270 × 416

288 × 390

312 × 360

320 × 351

First multiples

112,320 · 224,640 (double) · 336,960 · 449,280 · 561,600 · 673,920 · 786,240 · 898,560 · 1,010,880 · 1,123,200

Sums & aliquot sequence

As a sum of two cubes: 12³ + 48³

As consecutive integers: 37,439 + 37,440 + 37,441 22,462 + 22,463 + 22,464 + 22,465 + 22,466 12,476 + 12,477 + … + 12,484 8,634 + 8,635 + … + 8,646

Aliquot sequence: 112,320 → 314,400 → 716,784 → 1,165,536 → 2,463,264 → 4,723,776 → 9,144,624 → 16,488,656 → 17,646,064 → 16,543,216 → 15,509,296 → 17,524,180 → 19,902,860 → 22,082,356 → 16,561,774 → 9,742,274 → 4,871,140 — unresolved within range

Continued fraction of √n

√112,320 = [335; (7, 18, 2, 9, 1, 73, 1, 1, 3, 167, 3, 1, 1, 73, 1, 9, 2, 18, 7, 670)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand three hundred twenty
Ordinal: 112320th
Binary: 11011011011000000
Octal: 333300
Hexadecimal: 0x1B6C0
Base64: AbbA
One's complement: 4,294,854,975 (32-bit)
Scientific notation: 1.1232 × 10⁵
As a duration: 112,320 s = 1 day, 7 hours, 12 minutes

In other bases

ternary (3) 12201002000

quaternary (4) 123123000

quinary (5) 12043240

senary (6) 2224000

septenary (7) 645315

nonary (9) 181060

undecimal (11) 7742a

duodecimal (12) 55000

tridecimal (13) 3c180

tetradecimal (14) 2cd0c

pentadecimal (15) 23430

As an angle

112,320° = 312 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ριβτκʹ
Mayan (base 20): 𝋮·𝋠·𝋰·𝋠
Chinese: 一十一萬二千三百二十
Chinese (financial): 壹拾壹萬貳仟參佰貳拾

In other modern scripts

Eastern Arabic ١١٢٣٢٠ Devanagari ११२३२० Bengali ১১২৩২০ Tamil ௧௧௨௩௨௦ Thai ๑๑๒๓๒๐ Tibetan ༡༡༢༣༢༠ Khmer ១១២៣២០ Lao ໑໑໒໓໒໐ Burmese ၁၁၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112320, here are decompositions:

17 + 112303 = 112320
23 + 112297 = 112320
29 + 112291 = 112320
31 + 112289 = 112320
41 + 112279 = 112320
59 + 112261 = 112320
67 + 112253 = 112320
71 + 112249 = 112320

Showing the first eight; more decompositions exist.

Hex color

#01B6C0

RGB(1, 182, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.192.

Address: 0.1.182.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.182.192

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 112,320 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 US112,320 on Google Patents ↗ Look up on USPTO ↗