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112,520

112,520 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.).

112,520 (one hundred twelve thousand five hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 29 × 97. Its proper divisors sum to 152,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B788.

Abundant Number Gapful Number Octagonal Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
25,211
Recamán's sequence
a(52,355) = 112,520
Square (n²)
12,660,750,400
Cube (n³)
1,424,587,635,008,000
Divisor count
32
σ(n) — sum of divisors
264,600
φ(n) — Euler's totient
43,008
Sum of prime factors
137

Primality

Prime factorization: 2 3 × 5 × 29 × 97

Nearest primes: 112,507 (−13) · 112,543 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 29 · 40 · 58 · 97 · 116 · 145 · 194 · 232 · 290 · 388 · 485 · 580 · 776 · 970 · 1160 · 1940 · 2813 · 3880 · 5626 · 11252 · 14065 · 22504 · 28130 · 56260 (half) · 112520
Aliquot sum (sum of proper divisors): 152,080
Factor pairs (a × b = 112,520)
1 × 112520
2 × 56260
4 × 28130
5 × 22504
8 × 14065
10 × 11252
20 × 5626
29 × 3880
40 × 2813
58 × 1940
97 × 1160
116 × 970
145 × 776
194 × 580
232 × 485
290 × 388
First multiples
112,520 · 225,040 (double) · 337,560 · 450,080 · 562,600 · 675,120 · 787,640 · 900,160 · 1,012,680 · 1,125,200

Sums & aliquot sequence

As a sum of two squares: 94² + 322² = 118² + 314² = 146² + 302² = 154² + 298²
As consecutive integers: 22,502 + 22,503 + 22,504 + 22,505 + 22,506 7,025 + 7,026 + … + 7,040 3,866 + 3,867 + … + 3,894 1,367 + 1,368 + … + 1,446
Aliquot sequence: 112,520 152,080 201,692 151,276 118,364 91,300 127,436 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 40,346 — unresolved within range

Continued fraction of √n

√112,520 = [335; (2, 3, 1, 2, 167, 2, 1, 3, 2, 670)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand five hundred twenty
Ordinal
112520th
Binary
11011011110001000
Octal
333610
Hexadecimal
0x1B788
Base64
AbeI
One's complement
4,294,854,775 (32-bit)
Scientific notation
1.1252 × 10⁵
As a duration
112,520 s = 1 day, 7 hours, 15 minutes, 20 seconds
In other bases
ternary (3) 12201100102
quaternary (4) 123132020
quinary (5) 12100040
senary (6) 2224532
septenary (7) 646022
nonary (9) 181312
undecimal (11) 775a1
duodecimal (12) 55148
tridecimal (13) 3c2a5
tetradecimal (14) 2d012
pentadecimal (15) 23515

As an angle

112,520° = 312 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριβφκʹ
Mayan (base 20)
𝋮·𝋡·𝋦·𝋠
Chinese
一十一萬二千五百二十
Chinese (financial)
壹拾壹萬貳仟伍佰貳拾
In other modern scripts
Eastern Arabic ١١٢٥٢٠ Devanagari ११२५२० Bengali ১১২৫২০ Tamil ௧௧௨௫௨௦ Thai ๑๑๒๕๒๐ Tibetan ༡༡༢༥༢༠ Khmer ១១២៥២០ Lao ໑໑໒໕໒໐ Burmese ၁၁၂၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112520, here are decompositions:

  • 13 + 112507 = 112520
  • 19 + 112501 = 112520
  • 61 + 112459 = 112520
  • 157 + 112363 = 112520
  • 181 + 112339 = 112520
  • 193 + 112327 = 112520
  • 223 + 112297 = 112520
  • 229 + 112291 = 112520

Showing the first eight; more decompositions exist.

Hex color
#01B788
RGB(1, 183, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.136.

Address
0.1.183.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.136

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 112,520 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 112520 first appears in π at position 244,894 of the decimal expansion (the 244,894ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.