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112,420

112,420 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.).

112,420 (one hundred twelve thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 11 × 73. Its proper divisors sum to 185,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B724.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
24,211
Recamán's sequence
a(246,700) = 112,420
Square (n²)
12,638,256,400
Cube (n³)
1,420,792,784,488,000
Divisor count
48
σ(n) — sum of divisors
298,368
φ(n) — Euler's totient
34,560
Sum of prime factors
100

Primality

Prime factorization: 2 2 × 5 × 7 × 11 × 73

Nearest primes: 112,403 (−17) · 112,429 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 11 · 14 · 20 · 22 · 28 · 35 · 44 · 55 · 70 · 73 · 77 · 110 · 140 · 146 · 154 · 220 · 292 · 308 · 365 · 385 · 511 · 730 · 770 · 803 · 1022 · 1460 · 1540 · 1606 · 2044 · 2555 · 3212 · 4015 · 5110 · 5621 · 8030 · 10220 · 11242 · 16060 · 22484 · 28105 · 56210 (half) · 112420
Aliquot sum (sum of proper divisors): 185,948
Factor pairs (a × b = 112,420)
1 × 112420
2 × 56210
4 × 28105
5 × 22484
7 × 16060
10 × 11242
11 × 10220
14 × 8030
20 × 5621
22 × 5110
28 × 4015
35 × 3212
44 × 2555
55 × 2044
70 × 1606
73 × 1540
77 × 1460
110 × 1022
140 × 803
146 × 770
154 × 730
220 × 511
292 × 385
308 × 365
First multiples
112,420 · 224,840 (double) · 337,260 · 449,680 · 562,100 · 674,520 · 786,940 · 899,360 · 1,011,780 · 1,124,200

Sums & aliquot sequence

As consecutive integers: 22,482 + 22,483 + 22,484 + 22,485 + 22,486 16,057 + 16,058 + … + 16,063 14,049 + 14,050 + … + 14,056 10,215 + 10,216 + … + 10,225
Aliquot sequence: 112,420 185,948 200,452 200,508 412,356 687,484 721,924 890,876 890,932 931,532 1,165,108 1,165,164 2,522,772 5,218,668 11,903,892 25,427,052 53,825,940 — unresolved within range

Continued fraction of √n

√112,420 = [335; (3, 2, 3, 2, 34, 1, 6, 74, 2, 1, 2, 1, 3, 2, 1, 3, 3, 1, 1, 1, 6, 2, 1, 7, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred twenty
Ordinal
112420th
Binary
11011011100100100
Octal
333444
Hexadecimal
0x1B724
Base64
Abck
One's complement
4,294,854,875 (32-bit)
Scientific notation
1.1242 × 10⁵
As a duration
112,420 s = 1 day, 7 hours, 13 minutes, 40 seconds
In other bases
ternary (3) 12201012201
quaternary (4) 123130210
quinary (5) 12044140
senary (6) 2224244
septenary (7) 645520
nonary (9) 181181
undecimal (11) 77510
duodecimal (12) 55084
tridecimal (13) 3c229
tetradecimal (14) 2cd80
pentadecimal (15) 2349a
Palindromic in base 9

As an angle

112,420° = 312 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριβυκʹ
Mayan (base 20)
𝋮·𝋡·𝋡·𝋠
Chinese
一十一萬二千四百二十
Chinese (financial)
壹拾壹萬貳仟肆佰貳拾
In other modern scripts
Eastern Arabic ١١٢٤٢٠ Devanagari ११२४२० Bengali ১১২৪২০ Tamil ௧௧௨௪௨௦ Thai ๑๑๒๔๒๐ Tibetan ༡༡༢༤༢༠ Khmer ១១២៤២០ Lao ໑໑໒໔໒໐ Burmese ၁၁၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112420, here are decompositions:

  • 17 + 112403 = 112420
  • 23 + 112397 = 112420
  • 59 + 112361 = 112420
  • 71 + 112349 = 112420
  • 83 + 112337 = 112420
  • 89 + 112331 = 112420
  • 131 + 112289 = 112420
  • 167 + 112253 = 112420

Showing the first eight; more decompositions exist.

Hex color
#01B724
RGB(1, 183, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.36.

Address
0.1.183.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.36

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 112,420 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 112420 first appears in π at position 935,276 of the decimal expansion (the 935,276ordinal-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