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112,180

112,180 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.).

112,180 (one hundred twelve thousand one hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 71 × 79. Its proper divisors sum to 129,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B634.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
81,211
Recamán's sequence
a(246,940) = 112,180
Square (n²)
12,584,352,400
Cube (n³)
1,411,712,652,232,000
Divisor count
24
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
43,680
Sum of prime factors
159

Primality

Prime factorization: 2 2 × 5 × 71 × 79

Nearest primes: 112,163 (−17) · 112,181 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 71 · 79 · 142 · 158 · 284 · 316 · 355 · 395 · 710 · 790 · 1420 · 1580 · 5609 · 11218 · 22436 · 28045 · 56090 (half) · 112180
Aliquot sum (sum of proper divisors): 129,740
Factor pairs (a × b = 112,180)
1 × 112180
2 × 56090
4 × 28045
5 × 22436
10 × 11218
20 × 5609
71 × 1580
79 × 1420
142 × 790
158 × 710
284 × 395
316 × 355
First multiples
112,180 · 224,360 (double) · 336,540 · 448,720 · 560,900 · 673,080 · 785,260 · 897,440 · 1,009,620 · 1,121,800

Sums & aliquot sequence

As consecutive integers: 22,434 + 22,435 + 22,436 + 22,437 + 22,438 14,019 + 14,020 + … + 14,026 2,785 + 2,786 + … + 2,824 1,545 + 1,546 + … + 1,615
Aliquot sequence: 112,180 129,740 164,260 190,556 142,924 107,200 160,516 120,394 70,874 35,440 47,144 43,576 44,624 41,866 27,560 40,480 68,384 — unresolved within range

Continued fraction of √n

√112,180 = [334; (1, 13, 1, 7, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 41, 17, 6, 1, 1, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand one hundred eighty
Ordinal
112180th
Binary
11011011000110100
Octal
333064
Hexadecimal
0x1B634
Base64
AbY0
One's complement
4,294,855,115 (32-bit)
Scientific notation
1.1218 × 10⁵
As a duration
112,180 s = 1 day, 7 hours, 9 minutes, 40 seconds
In other bases
ternary (3) 12200212211
quaternary (4) 123120310
quinary (5) 12042210
senary (6) 2223204
septenary (7) 645025
nonary (9) 180784
undecimal (11) 77312
duodecimal (12) 54b04
tridecimal (13) 3c0a3
tetradecimal (14) 2cc4c
pentadecimal (15) 2338a

As an angle

112,180° = 311 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβρπʹ
Mayan (base 20)
𝋮·𝋠·𝋩·𝋠
Chinese
一十一萬二千一百八十
Chinese (financial)
壹拾壹萬貳仟壹佰捌拾
In other modern scripts
Eastern Arabic ١١٢١٨٠ Devanagari ११२१८० Bengali ১১২১৮০ Tamil ௧௧௨௧௮௦ Thai ๑๑๒๑๘๐ Tibetan ༡༡༢༡༨༠ Khmer ១១២១៨០ Lao ໑໑໒໑໘໐ Burmese ၁၁၂၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112180, here are decompositions:

  • 17 + 112163 = 112180
  • 41 + 112139 = 112180
  • 59 + 112121 = 112180
  • 83 + 112097 = 112180
  • 113 + 112067 = 112180
  • 149 + 112031 = 112180
  • 227 + 111953 = 112180
  • 311 + 111869 = 112180

Showing the first eight; more decompositions exist.

Hex color
#01B634
RGB(1, 182, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.52.

Address
0.1.182.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.52

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 112,180 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 112180 first appears in π at position 152,788 of the decimal expansion (the 152,788ordinal-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.

Related reading