Live analysis

112,020

112,020 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.).

112,020 (one hundred twelve thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,867. Its proper divisors sum to 201,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B594.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

112,008 112,009 112,010 112,011 112,012 112,013 112,014 112,015 112,016 112,017 112,018 112,019 112,020 112,021 112,022 112,023 112,024 112,025 112,026 112,027 112,028 112,029 112,030 112,031 112,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 20,211
Recamán's sequence: a(247,260) = 112,020
Square (n²): 12,548,480,400
Cube (n³): 1,405,680,774,408,000
Divisor count: 24
σ(n) — sum of divisors: 313,824
φ(n) — Euler's totient: 29,856
Sum of prime factors: 1,879

Primality

Prime factorization: 2 ² × 3 × 5 × 1867

Nearest primes: 112,019 (−1) · 112,031 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1867 · 3734 · 5601 · 7468 · 9335 · 11202 · 18670 · 22404 · 28005 · 37340 · 56010 (half) · 112020

Aliquot sum (sum of proper divisors): 201,804

Factor pairs (a × b = 112,020)

1 × 112020

2 × 56010

3 × 37340

4 × 28005

5 × 22404

6 × 18670

10 × 11202

12 × 9335

15 × 7468

20 × 5601

30 × 3734

60 × 1867

First multiples

112,020 · 224,040 (double) · 336,060 · 448,080 · 560,100 · 672,120 · 784,140 · 896,160 · 1,008,180 · 1,120,200

Sums & aliquot sequence

As consecutive integers: 37,339 + 37,340 + 37,341 22,402 + 22,403 + 22,404 + 22,405 + 22,406 13,999 + 14,000 + … + 14,006 7,461 + 7,462 + … + 7,475

Aliquot sequence: 112,020 → 201,804 → 278,004 → 370,700 → 509,452 → 382,096 → 492,848 → 462,076 → 351,324 → 559,796 → 425,104 → 403,619 → 6,901 → 171 → 89 → 1 → 0 — terminates at zero

Continued fraction of √n

√112,020 = [334; (1, 2, 3, 1, 2, 1, 32, 1, 2, 1, 3, 2, 1, 668)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand twenty
Ordinal: 112020th
Binary: 11011010110010100
Octal: 332624
Hexadecimal: 0x1B594
Base64: AbWU
One's complement: 4,294,855,275 (32-bit)
Scientific notation: 1.1202 × 10⁵
As a duration: 112,020 s = 1 day, 7 hours, 7 minutes

In other bases

ternary (3) 12200122220

quaternary (4) 123112110

quinary (5) 12041040

senary (6) 2222340

septenary (7) 644406

nonary (9) 180586

undecimal (11) 77187

duodecimal (12) 549b0

tridecimal (13) 3bcac

tetradecimal (14) 2cb76

pentadecimal (15) 232d0

As an angle

112,020° = 311 × 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 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓎆𓎆
Greek (Milesian): ͵ριβκʹ
Mayan (base 20): 𝋮·𝋠·𝋡·𝋠
Chinese: 一十一萬二千零二十
Chinese (financial): 壹拾壹萬貳仟零貳拾

In other modern scripts

Eastern Arabic ١١٢٠٢٠ Devanagari ११२०२० Bengali ১১২০২০ Tamil ௧௧௨௦௨௦ Thai ๑๑๒๐๒๐ Tibetan ༡༡༢༠༢༠ Khmer ១១២០២០ Lao ໑໑໒໐໒໐ Burmese ၁၁၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112020, here are decompositions:

23 + 111997 = 112020
43 + 111977 = 112020
47 + 111973 = 112020
61 + 111959 = 112020
67 + 111953 = 112020
71 + 111949 = 112020
101 + 111919 = 112020
107 + 111913 = 112020

Showing the first eight; more decompositions exist.

Hex color

#01B594

RGB(1, 181, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.148.

Address: 0.1.181.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.181.148

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 112,020 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 US112,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112020 first appears in π at position 864,680 of the decimal expansion (the 864,680ordinal-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 112020 on Pi Search ↗