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112,140

112,140 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.).

112,140 (one hundred twelve thousand one hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 89. Its proper divisors sum to 280,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B60C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
41,211
Recamán's sequence
a(247,020) = 112,140
Square (n²)
12,575,379,600
Cube (n³)
1,410,203,068,344,000
Divisor count
72
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
25,344
Sum of prime factors
111

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 × 89

Nearest primes: 112,139 (−1) · 112,153 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 60 · 63 · 70 · 84 · 89 · 90 · 105 · 126 · 140 · 178 · 180 · 210 · 252 · 267 · 315 · 356 · 420 · 445 · 534 · 623 · 630 · 801 · 890 · 1068 · 1246 · 1260 · 1335 · 1602 · 1780 · 1869 · 2492 · 2670 · 3115 · 3204 · 3738 · 4005 · 5340 · 5607 · 6230 · 7476 · 8010 · 9345 · 11214 · 12460 · 16020 · 18690 · 22428 · 28035 · 37380 · 56070 (half) · 112140
Aliquot sum (sum of proper divisors): 280,980
Factor pairs (a × b = 112,140)
1 × 112140
2 × 56070
3 × 37380
4 × 28035
5 × 22428
6 × 18690
7 × 16020
9 × 12460
10 × 11214
12 × 9345
14 × 8010
15 × 7476
18 × 6230
20 × 5607
21 × 5340
28 × 4005
30 × 3738
35 × 3204
36 × 3115
42 × 2670
45 × 2492
60 × 1869
63 × 1780
70 × 1602
84 × 1335
89 × 1260
90 × 1246
105 × 1068
126 × 890
140 × 801
178 × 630
180 × 623
210 × 534
252 × 445
267 × 420
315 × 356
First multiples
112,140 · 224,280 (double) · 336,420 · 448,560 · 560,700 · 672,840 · 784,980 · 897,120 · 1,009,260 · 1,121,400

Sums & aliquot sequence

As consecutive integers: 37,379 + 37,380 + 37,381 22,426 + 22,427 + 22,428 + 22,429 + 22,430 16,017 + 16,018 + … + 16,023 14,014 + 14,015 + … + 14,021
Aliquot sequence: 112,140 280,980 697,452 1,350,804 2,531,564 2,753,044 2,753,100 8,079,540 17,776,332 35,827,764 60,940,236 101,567,284 124,274,892 209,574,708 396,959,052 662,659,508 662,659,564 — unresolved within range

Continued fraction of √n

√112,140 = [334; (1, 6, 1, 7, 2, 1, 1, 5, 1, 1, 4, 1, 1, 2, 1, 166, 1, 2, 1, 1, 4, 1, 1, 5, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand one hundred forty
Ordinal
112140th
Binary
11011011000001100
Octal
333014
Hexadecimal
0x1B60C
Base64
AbYM
One's complement
4,294,855,155 (32-bit)
Scientific notation
1.1214 × 10⁵
As a duration
112,140 s = 1 day, 7 hours, 9 minutes
In other bases
ternary (3) 12200211100
quaternary (4) 123120030
quinary (5) 12042030
senary (6) 2223100
septenary (7) 644640
nonary (9) 180740
undecimal (11) 77286
duodecimal (12) 54a90
tridecimal (13) 3c072
tetradecimal (14) 2cc20
pentadecimal (15) 23360

As an angle

112,140° = 311 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβρμʹ
Mayan (base 20)
𝋮·𝋠·𝋧·𝋠
Chinese
一十一萬二千一百四十
Chinese (financial)
壹拾壹萬貳仟壹佰肆拾
In other modern scripts
Eastern Arabic ١١٢١٤٠ Devanagari ११२१४० Bengali ১১২১৪০ Tamil ௧௧௨௧௪௦ Thai ๑๑๒๑๔๐ Tibetan ༡༡༢༡༤༠ Khmer ១១២១៤០ Lao ໑໑໒໑໔໐ Burmese ၁၁၂၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112140, here are decompositions:

  • 11 + 112129 = 112140
  • 19 + 112121 = 112140
  • 29 + 112111 = 112140
  • 37 + 112103 = 112140
  • 43 + 112097 = 112140
  • 53 + 112087 = 112140
  • 71 + 112069 = 112140
  • 73 + 112067 = 112140

Showing the first eight; more decompositions exist.

Hex color
#01B60C
RGB(1, 182, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.12.

Address
0.1.182.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.12

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 112,140 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 112140 first appears in π at position 124,114 of the decimal expansion (the 124,114ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.