Live analysis

112,820

112,820 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.).

112,820 (one hundred twelve thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,641. Its proper divisors sum to 124,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8B4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,808 112,809 112,810 112,811 112,812 112,813 112,814 112,815 112,816 112,817 112,818 112,819 112,820 112,821 112,822 112,823 112,824 112,825 112,826 112,827 112,828 112,829 112,830 112,831 112,832

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 28,211
Recamán's sequence: a(52,687) = 112,820
Square (n²): 12,728,352,400
Cube (n³): 1,436,012,717,768,000
Divisor count: 12
σ(n) — sum of divisors: 236,964
φ(n) — Euler's totient: 45,120
Sum of prime factors: 5,650

Primality

Prime factorization: 2 ² × 5 × 5641

Nearest primes: 112,807 (−13) · 112,831 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 5641 · 11282 · 22564 · 28205 · 56410 (half) · 112820

Aliquot sum (sum of proper divisors): 124,144

Factor pairs (a × b = 112,820)

1 × 112820

2 × 56410

4 × 28205

5 × 22564

10 × 11282

20 × 5641

First multiples

112,820 · 225,640 (double) · 338,460 · 451,280 · 564,100 · 676,920 · 789,740 · 902,560 · 1,015,380 · 1,128,200

Sums & aliquot sequence

As a sum of two squares: 134² + 308² = 166² + 292²

As consecutive integers: 22,562 + 22,563 + 22,564 + 22,565 + 22,566 14,099 + 14,100 + … + 14,106 2,801 + 2,802 + … + 2,840

Aliquot sequence: 112,820 → 124,144 → 116,416 → 130,472 → 120,088 → 118,592 → 132,868 → 104,012 → 78,016 → 86,576 → 105,376 → 110,084 → 107,476 → 83,232 → 168,201 → 96,999 → 56,601 — unresolved within range

Continued fraction of √n

√112,820 = [335; (1, 7, 1, 5, 3, 1, 1, 1, 5, 134, 5, 1, 1, 1, 3, 5, 1, 7, 1, 670)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand eight hundred twenty
Ordinal: 112820th
Binary: 11011100010110100
Octal: 334264
Hexadecimal: 0x1B8B4
Base64: Abi0
One's complement: 4,294,854,475 (32-bit)
Scientific notation: 1.1282 × 10⁵
As a duration: 112,820 s = 1 day, 7 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 12201202112

quaternary (4) 123202310

quinary (5) 12102240

senary (6) 2230152

septenary (7) 646631

nonary (9) 181675

undecimal (11) 77844

duodecimal (12) 55358

tridecimal (13) 3c476

tetradecimal (14) 2d188

pentadecimal (15) 23665

As an angle

112,820° = 313 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ριβωκʹ
Mayan (base 20): 𝋮·𝋢·𝋡·𝋠
Chinese: 一十一萬二千八百二十
Chinese (financial): 壹拾壹萬貳仟捌佰貳拾

In other modern scripts

Eastern Arabic ١١٢٨٢٠ Devanagari ११२८२० Bengali ১১২৮২০ Tamil ௧௧௨௮௨௦ Thai ๑๑๒๘๒๐ Tibetan ༡༡༢༨༢༠ Khmer ១១២៨២០ Lao ໑໑໒໘໒໐ Burmese ၁၁၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112820, here are decompositions:

13 + 112807 = 112820
61 + 112759 = 112820
79 + 112741 = 112820
157 + 112663 = 112820
163 + 112657 = 112820
199 + 112621 = 112820
277 + 112543 = 112820
313 + 112507 = 112820

Showing the first eight; more decompositions exist.

Hex color

#01B8B4

RGB(1, 184, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.180.

Address: 0.1.184.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.184.180

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 112,820 and was likely granted around 1871.

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

Look up US112,820 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112820 first appears in π at position 848,225 of the decimal expansion (the 848,225ordinal-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.

Look up 112820 on Pi Search ↗