Live analysis

112,400

112,400 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.).

112,400 (one hundred twelve thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 281. Its proper divisors sum to 158,602, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B710.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,388 112,389 112,390 112,391 112,392 112,393 112,394 112,395 112,396 112,397 112,398 112,399 112,400 112,401 112,402 112,403 112,404 112,405 112,406 112,407 112,408 112,409 112,410 112,411 112,412

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 4,211
Recamán's sequence: a(246,740) = 112,400
Square (n²): 12,633,760,000
Cube (n³): 1,420,034,624,000,000
Divisor count: 30
σ(n) — sum of divisors: 271,002
φ(n) — Euler's totient: 44,800
Sum of prime factors: 299

Primality

Prime factorization: 2 ⁴ × 5 ² × 281

Nearest primes: 112,397 (−3) · 112,403 (+3)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 281 · 400 · 562 · 1124 · 1405 · 2248 · 2810 · 4496 · 5620 · 7025 · 11240 · 14050 · 22480 · 28100 · 56200 (half) · 112400

Aliquot sum (sum of proper divisors): 158,602

Factor pairs (a × b = 112,400)

1 × 112400

2 × 56200

4 × 28100

5 × 22480

8 × 14050

10 × 11240

16 × 7025

20 × 5620

25 × 4496

40 × 2810

50 × 2248

80 × 1405

100 × 1124

200 × 562

281 × 400

First multiples

112,400 · 224,800 (double) · 337,200 · 449,600 · 562,000 · 674,400 · 786,800 · 899,200 · 1,011,600 · 1,124,000

Sums & aliquot sequence

As a sum of two squares: 100² + 320² = 112² + 316² = 196² + 272²

As consecutive integers: 22,478 + 22,479 + 22,480 + 22,481 + 22,482 4,484 + 4,485 + … + 4,508 3,497 + 3,498 + … + 3,528 623 + 624 + … + 782

Aliquot sequence: 112,400 → 158,602 → 79,304 → 76,216 → 87,224 → 76,336 → 83,376 → 157,184 → 157,900 → 184,960 → 284,750 → 288,082 → 183,878 → 91,942 → 45,974 → 23,914 → 15,254 — unresolved within range

Continued fraction of √n

√112,400 = [335; (3, 1, 4, 1, 7, 1, 1, 1, 20, 1, 40, 1, 20, 1, 1, 1, 7, 1, 4, 1, 3, 670)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand four hundred
Ordinal: 112400th
Binary: 11011011100010000
Octal: 333420
Hexadecimal: 0x1B710
Base64: AbcQ
One's complement: 4,294,854,895 (32-bit)
Scientific notation: 1.124 × 10⁵
As a duration: 112,400 s = 1 day, 7 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 12201011222

quaternary (4) 123130100

quinary (5) 12044100

senary (6) 2224212

septenary (7) 645461

nonary (9) 181158

undecimal (11) 774a2

duodecimal (12) 55068

tridecimal (13) 3c212

tetradecimal (14) 2cd68

pentadecimal (15) 23485

As an angle

112,400° = 312 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ριβυʹ
Mayan (base 20): 𝋮·𝋡·𝋠·𝋠
Chinese: 一十一萬二千四百
Chinese (financial): 壹拾壹萬貳仟肆佰

In other modern scripts

Eastern Arabic ١١٢٤٠٠ Devanagari ११२४०० Bengali ১১২৪০০ Tamil ௧௧௨௪௦௦ Thai ๑๑๒๔๐๐ Tibetan ༡༡༢༤༠༠ Khmer ១១២៤០០ Lao ໑໑໒໔໐໐ Burmese ၁၁၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112400, here are decompositions:

3 + 112397 = 112400
37 + 112363 = 112400
61 + 112339 = 112400
73 + 112327 = 112400
97 + 112303 = 112400
103 + 112297 = 112400
109 + 112291 = 112400
139 + 112261 = 112400

Showing the first eight; more decompositions exist.

Hex color

#01B710

RGB(1, 183, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.16.

Address: 0.1.183.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.183.16

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 112,400 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 US112,400 on Google Patents ↗ Look up on USPTO ↗