Live analysis

112,080

112,080 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.).

112,080 (one hundred twelve thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 467. Its proper divisors sum to 236,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5D0.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

112,068 112,069 112,070 112,071 112,072 112,073 112,074 112,075 112,076 112,077 112,078 112,079 112,080 112,081 112,082 112,083 112,084 112,085 112,086 112,087 112,088 112,089 112,090 112,091 112,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 80,211
Recamán's sequence: a(247,140) = 112,080
Square (n²): 12,561,926,400
Cube (n³): 1,407,940,710,912,000
Divisor count: 40
σ(n) — sum of divisors: 348,192
φ(n) — Euler's totient: 29,824
Sum of prime factors: 483

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 467

Nearest primes: 112,069 (−11) · 112,087 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 467 · 934 · 1401 · 1868 · 2335 · 2802 · 3736 · 4670 · 5604 · 7005 · 7472 · 9340 · 11208 · 14010 · 18680 · 22416 · 28020 · 37360 · 56040 (half) · 112080

Aliquot sum (sum of proper divisors): 236,112

Factor pairs (a × b = 112,080)

1 × 112080

2 × 56040

3 × 37360

4 × 28020

5 × 22416

6 × 18680

8 × 14010

10 × 11208

12 × 9340

15 × 7472

16 × 7005

20 × 5604

24 × 4670

30 × 3736

40 × 2802

48 × 2335

60 × 1868

80 × 1401

120 × 934

240 × 467

First multiples

112,080 · 224,160 (double) · 336,240 · 448,320 · 560,400 · 672,480 · 784,560 · 896,640 · 1,008,720 · 1,120,800

Sums & aliquot sequence

As consecutive integers: 37,359 + 37,360 + 37,361 22,414 + 22,415 + 22,416 + 22,417 + 22,418 7,465 + 7,466 + … + 7,479 3,487 + 3,488 + … + 3,518

Aliquot sequence: 112,080 → 236,112 → 373,968 → 866,466 → 1,063,098 → 1,299,462 → 1,299,474 → 1,772,478 → 2,135,322 → 3,451,248 → 6,541,416 → 13,707,384 → 20,662,536 → 30,993,864 → 60,935,736 → 99,422,664 → 187,693,176 — unresolved within range

Continued fraction of √n

√112,080 = [334; (1, 3, 1, 1, 1, 1, 1, 2, 14, 1, 5, 10, 3, 2, 2, 5, 8, 5, 2, 2, 3, 10, 5, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand eighty
Ordinal: 112080th
Binary: 11011010111010000
Octal: 332720
Hexadecimal: 0x1B5D0
Base64: AbXQ
One's complement: 4,294,855,215 (32-bit)
Scientific notation: 1.1208 × 10⁵
As a duration: 112,080 s = 1 day, 7 hours, 8 minutes

In other bases

ternary (3) 12200202010

quaternary (4) 123113100

quinary (5) 12041310

senary (6) 2222520

septenary (7) 644523

nonary (9) 180663

undecimal (11) 77231

duodecimal (12) 54a40

tridecimal (13) 3c027

tetradecimal (14) 2cbba

pentadecimal (15) 23320

As an angle

112,080° = 311 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριβπʹ
Mayan (base 20): 𝋮·𝋠·𝋤·𝋠
Chinese: 一十一萬二千零八十
Chinese (financial): 壹拾壹萬貳仟零捌拾

In other modern scripts

Eastern Arabic ١١٢٠٨٠ Devanagari ११२०८० Bengali ১১২০৮০ Tamil ௧௧௨௦௮௦ Thai ๑๑๒๐๘๐ Tibetan ༡༡༢༠༨༠ Khmer ១១២០៨០ Lao ໑໑໒໐໘໐ Burmese ၁၁၂၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112080, here are decompositions:

11 + 112069 = 112080
13 + 112067 = 112080
19 + 112061 = 112080
61 + 112019 = 112080
83 + 111997 = 112080
103 + 111977 = 112080
107 + 111973 = 112080
127 + 111953 = 112080

Showing the first eight; more decompositions exist.

Hex color

#01B5D0

RGB(1, 181, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.208.

Address: 0.1.181.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.208

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 112,080 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 US112,080 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112080 first appears in π at position 246,665 of the decimal expansion (the 246,665ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 112080 on Pi Search ↗