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112,480

112,480 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.).

112,480 (one hundred twelve thousand four hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 19 × 37. Its proper divisors sum to 174,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B760.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
84,211
Recamán's sequence
a(52,275) = 112,480
Square (n²)
12,651,750,400
Cube (n³)
1,423,068,884,992,000
Divisor count
48
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
41,472
Sum of prime factors
71

Primality

Prime factorization: 2 5 × 5 × 19 × 37

Nearest primes: 112,459 (−21) · 112,481 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 32 · 37 · 38 · 40 · 74 · 76 · 80 · 95 · 148 · 152 · 160 · 185 · 190 · 296 · 304 · 370 · 380 · 592 · 608 · 703 · 740 · 760 · 1184 · 1406 · 1480 · 1520 · 2812 · 2960 · 3040 · 3515 · 5624 · 5920 · 7030 · 11248 · 14060 · 22496 · 28120 · 56240 (half) · 112480
Aliquot sum (sum of proper divisors): 174,800
Factor pairs (a × b = 112,480)
1 × 112480
2 × 56240
4 × 28120
5 × 22496
8 × 14060
10 × 11248
16 × 7030
19 × 5920
20 × 5624
32 × 3515
37 × 3040
38 × 2960
40 × 2812
74 × 1520
76 × 1480
80 × 1406
95 × 1184
148 × 760
152 × 740
160 × 703
185 × 608
190 × 592
296 × 380
304 × 370
First multiples
112,480 · 224,960 (double) · 337,440 · 449,920 · 562,400 · 674,880 · 787,360 · 899,840 · 1,012,320 · 1,124,800

Sums & aliquot sequence

As consecutive integers: 22,494 + 22,495 + 22,496 + 22,497 + 22,498 5,911 + 5,912 + … + 5,929 3,022 + 3,023 + … + 3,058 1,726 + 1,727 + … + 1,789
Aliquot sequence: 112,480 174,800 286,480 379,772 324,316 250,244 194,200 257,780 283,600 398,710 374,426 230,458 121,082 74,554 37,280 51,172 46,604 — unresolved within range

Continued fraction of √n

√112,480 = [335; (2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 1, 17, 1, 12, 1, 2, 1, 7, 1, 1, 6, 1, 1, 7, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred eighty
Ordinal
112480th
Binary
11011011101100000
Octal
333540
Hexadecimal
0x1B760
Base64
Abdg
One's complement
4,294,854,815 (32-bit)
Scientific notation
1.1248 × 10⁵
As a duration
112,480 s = 1 day, 7 hours, 14 minutes, 40 seconds
In other bases
ternary (3) 12201021221
quaternary (4) 123131200
quinary (5) 12044410
senary (6) 2224424
septenary (7) 645634
nonary (9) 181257
undecimal (11) 77565
duodecimal (12) 55114
tridecimal (13) 3c274
tetradecimal (14) 2cdc4
pentadecimal (15) 234da

As an angle

112,480° = 312 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριβυπʹ
Mayan (base 20)
𝋮·𝋡·𝋤·𝋠
Chinese
一十一萬二千四百八十
Chinese (financial)
壹拾壹萬貳仟肆佰捌拾
In other modern scripts
Eastern Arabic ١١٢٤٨٠ Devanagari ११२४८० Bengali ১১২৪৮০ Tamil ௧௧௨௪௮௦ Thai ๑๑๒๔๘๐ Tibetan ༡༡༢༤༨༠ Khmer ១១២៤៨០ Lao ໑໑໒໔໘໐ Burmese ၁၁၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112480, here are decompositions:

  • 83 + 112397 = 112480
  • 131 + 112349 = 112480
  • 149 + 112331 = 112480
  • 191 + 112289 = 112480
  • 227 + 112253 = 112480
  • 233 + 112247 = 112480
  • 239 + 112241 = 112480
  • 257 + 112223 = 112480

Showing the first eight; more decompositions exist.

Hex color
#01B760
RGB(1, 183, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.96.

Address
0.1.183.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.96

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 112,480 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 112480 first appears in π at position 299,382 of the decimal expansion (the 299,382ordinal-suffix:nd 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