Live analysis

112,720

112,720 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.).

112,720 (one hundred twelve thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,409. Its proper divisors sum to 149,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B850.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,708 112,709 112,710 112,711 112,712 112,713 112,714 112,715 112,716 112,717 112,718 112,719 112,720 112,721 112,722 112,723 112,724 112,725 112,726 112,727 112,728 112,729 112,730 112,731 112,732

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Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 27,211
Square (n²): 12,705,798,400
Cube (n³): 1,432,197,595,648,000
Divisor count: 20
σ(n) — sum of divisors: 262,260
φ(n) — Euler's totient: 45,056
Sum of prime factors: 1,422

Primality

Prime factorization: 2 ⁴ × 5 × 1409

Nearest primes: 112,691 (−29) · 112,741 (+21)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1409 · 2818 · 5636 · 7045 · 11272 · 14090 · 22544 · 28180 · 56360 (half) · 112720

Aliquot sum (sum of proper divisors): 149,540

Factor pairs (a × b = 112,720)

1 × 112720

2 × 56360

4 × 28180

5 × 22544

8 × 14090

10 × 11272

16 × 7045

20 × 5636

40 × 2818

80 × 1409

First multiples

112,720 · 225,440 (double) · 338,160 · 450,880 · 563,600 · 676,320 · 789,040 · 901,760 · 1,014,480 · 1,127,200

Sums & aliquot sequence

As a sum of two squares: 88² + 324² = 124² + 312²

As consecutive integers: 22,542 + 22,543 + 22,544 + 22,545 + 22,546 3,507 + 3,508 + … + 3,538 625 + 626 + … + 784

Aliquot sequence: 112,720 → 149,540 → 164,536 → 148,304 → 185,008 → 186,000 → 433,008 → 830,800 → 1,260,336 → 2,961,616 → 3,815,728 → 5,118,224 → 5,738,224 → 6,261,008 → 7,238,128 → 7,239,120 → 19,425,840 — unresolved within range

Continued fraction of √n

√112,720 = [335; (1, 2, 1, 4, 2, 5, 10, 3, 4, 8, 17, 10, 2, 3, 3, 1, 14, 2, 41, 2, 14, 1, 3, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand seven hundred twenty
Ordinal: 112720th
Binary: 11011100001010000
Octal: 334120
Hexadecimal: 0x1B850
Base64: AbhQ
One's complement: 4,294,854,575 (32-bit)
Scientific notation: 1.1272 × 10⁵
As a duration: 112,720 s = 1 day, 7 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 12201121211

quaternary (4) 123201100

quinary (5) 12101340

senary (6) 2225504

septenary (7) 646426

nonary (9) 181554

undecimal (11) 77763

duodecimal (12) 55294

tridecimal (13) 3c3ca

tetradecimal (14) 2d116

pentadecimal (15) 235ea

As an angle

112,720° = 313 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ριβψκʹ
Mayan (base 20): 𝋮·𝋡·𝋰·𝋠
Chinese: 一十一萬二千七百二十
Chinese (financial): 壹拾壹萬貳仟柒佰貳拾

In other modern scripts

Eastern Arabic ١١٢٧٢٠ Devanagari ११२७२० Bengali ১১২৭২০ Tamil ௧௧௨௭௨௦ Thai ๑๑๒๗๒๐ Tibetan ༡༡༢༧༢༠ Khmer ១១២៧២០ Lao ໑໑໒໗໒໐ Burmese ၁၁၂၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112720, here are decompositions:

29 + 112691 = 112720
131 + 112589 = 112720
137 + 112583 = 112720
149 + 112571 = 112720
239 + 112481 = 112720
317 + 112403 = 112720
359 + 112361 = 112720
383 + 112337 = 112720

Showing the first eight; more decompositions exist.

Hex color

#01B850

RGB(1, 184, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.80.

Address: 0.1.184.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.184.80

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 112,720 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 US112,720 on Google Patents ↗ Look up on USPTO ↗