Live analysis

112,740

112,740 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.).

112,740 (one hundred twelve thousand seven hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,879. Its proper divisors sum to 203,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B864.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,728 112,729 112,730 112,731 112,732 112,733 112,734 112,735 112,736 112,737 112,738 112,739 112,740 112,741 112,742 112,743 112,744 112,745 112,746 112,747 112,748 112,749 112,750 112,751 112,752

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 47,211
Square (n²): 12,710,307,600
Cube (n³): 1,432,960,078,824,000
Divisor count: 24
σ(n) — sum of divisors: 315,840
φ(n) — Euler's totient: 30,048
Sum of prime factors: 1,891

Primality

Prime factorization: 2 ² × 3 × 5 × 1879

Nearest primes: 112,691 (−49) · 112,741 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1879 · 3758 · 5637 · 7516 · 9395 · 11274 · 18790 · 22548 · 28185 · 37580 · 56370 (half) · 112740

Aliquot sum (sum of proper divisors): 203,100

Factor pairs (a × b = 112,740)

1 × 112740

2 × 56370

3 × 37580

4 × 28185

5 × 22548

6 × 18790

10 × 11274

12 × 9395

15 × 7516

20 × 5637

30 × 3758

60 × 1879

First multiples

112,740 · 225,480 (double) · 338,220 · 450,960 · 563,700 · 676,440 · 789,180 · 901,920 · 1,014,660 · 1,127,400

Sums & aliquot sequence

As consecutive integers: 37,579 + 37,580 + 37,581 22,546 + 22,547 + 22,548 + 22,549 + 22,550 14,089 + 14,090 + … + 14,096 7,509 + 7,510 + … + 7,523

Aliquot sequence: 112,740 → 203,100 → 385,404 → 513,900 → 1,099,712 → 1,082,656 → 1,143,008 → 1,206,640 → 1,598,984 → 1,399,126 → 778,154 → 486,172 → 409,548 → 546,092 → 409,576 → 358,394 → 222,214 — unresolved within range

Continued fraction of √n

√112,740 = [335; (1, 3, 3, 3, 1, 3, 4, 1, 6, 5, 2, 2, 12, 1, 3, 5, 1, 9, 1, 1, 1, 7, 4, 10, …)]

Representations

In words: one hundred twelve thousand seven hundred forty
Ordinal: 112740th
Binary: 11011100001100100
Octal: 334144
Hexadecimal: 0x1B864
Base64: Abhk
One's complement: 4,294,854,555 (32-bit)
Scientific notation: 1.1274 × 10⁵
As a duration: 112,740 s = 1 day, 7 hours, 19 minutes

In other bases

ternary (3) 12201122120

quaternary (4) 123201210

quinary (5) 12101430

senary (6) 2225540

septenary (7) 646455

nonary (9) 181576

undecimal (11) 77781

duodecimal (12) 552b0

tridecimal (13) 3c414

tetradecimal (14) 2d12c

pentadecimal (15) 23610

As an angle

112,740° = 313 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριβψμʹ
Mayan (base 20): 𝋮·𝋡·𝋱·𝋠
Chinese: 一十一萬二千七百四十
Chinese (financial): 壹拾壹萬貳仟柒佰肆拾

In other modern scripts

Eastern Arabic ١١٢٧٤٠ Devanagari ११२७४० Bengali ১১২৭৪০ Tamil ௧௧௨௭௪௦ Thai ๑๑๒๗๔๐ Tibetan ༡༡༢༧༤༠ Khmer ១១២៧៤០ Lao ໑໑໒໗໔໐ Burmese ၁၁၂၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112740, here are decompositions:

53 + 112687 = 112740
83 + 112657 = 112740
97 + 112643 = 112740
137 + 112603 = 112740
139 + 112601 = 112740
151 + 112589 = 112740
157 + 112583 = 112740
163 + 112577 = 112740

Showing the first eight; more decompositions exist.

Hex color

#01B864

RGB(1, 184, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.100.

Address: 0.1.184.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.184.100

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 112,740 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 US112,740 on Google Patents ↗ Look up on USPTO ↗