Live analysis

967,020

967,020 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.).

967,020 (nine hundred sixty-seven thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 71 × 227. Its proper divisors sum to 1,790,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC16C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

967,008 967,009 967,010 967,011 967,012 967,013 967,014 967,015 967,016 967,017 967,018 967,019 967,020 967,021 967,022 967,023 967,024 967,025 967,026 967,027 967,028 967,029 967,030 967,031 967,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 20,769
Square (n²): 935,127,680,400
Cube (n³): 904,287,169,500,408,000
Divisor count: 48
σ(n) — sum of divisors: 2,757,888
φ(n) — Euler's totient: 253,120
Sum of prime factors: 310

Primality

Prime factorization: 2 ² × 3 × 5 × 71 × 227

Nearest primes: 967,019 (−1) · 967,049 (+29)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 71 · 142 · 213 · 227 · 284 · 355 · 426 · 454 · 681 · 710 · 852 · 908 · 1065 · 1135 · 1362 · 1420 · 2130 · 2270 · 2724 · 3405 · 4260 · 4540 · 6810 · 13620 · 16117 · 32234 · 48351 · 64468 · 80585 · 96702 · 161170 · 193404 · 241755 · 322340 · 483510 (half) · 967020

Aliquot sum (sum of proper divisors): 1,790,868

Factor pairs (a × b = 967,020)

1 × 967020

2 × 483510

3 × 322340

4 × 241755

5 × 193404

6 × 161170

10 × 96702

12 × 80585

15 × 64468

20 × 48351

30 × 32234

60 × 16117

71 × 13620

142 × 6810

213 × 4540

227 × 4260

284 × 3405

355 × 2724

426 × 2270

454 × 2130

681 × 1420

710 × 1362

852 × 1135

908 × 1065

First multiples

967,020 · 1,934,040 (double) · 2,901,060 · 3,868,080 · 4,835,100 · 5,802,120 · 6,769,140 · 7,736,160 · 8,703,180 · 9,670,200

Sums & aliquot sequence

As consecutive integers: 322,339 + 322,340 + 322,341 193,402 + 193,403 + 193,404 + 193,405 + 193,406 120,874 + 120,875 + … + 120,881 64,461 + 64,462 + … + 64,475

Aliquot sequence: 967,020 → 1,790,868 → 2,387,852 → 1,790,896 → 1,704,416 → 2,202,592 → 2,753,744 → 3,614,896 → 3,388,996 → 2,998,056 → 4,497,144 → 7,235,976 → 12,499,224 → 18,893,016 → 33,251,544 → 57,488,976 → 104,870,052 — unresolved within range

Continued fraction of √n

√967,020 = [983; (2, 1, 2, 4, 2, 3, 3, 1, 2, 1, 1, 14, 1, 2, 38, 4, 2, 15, 1, 17, 9, 1, 1, 2, …)]

Representations

In words: nine hundred sixty-seven thousand twenty
Ordinal: 967020th
Binary: 11101100000101101100
Octal: 3540554
Hexadecimal: 0xEC16C
Base64: DsFs
One's complement: 4,294,000,275 (32-bit)
Scientific notation: 9.6702 × 10⁵
As a duration: 967,020 s = 11 days, 4 hours, 37 minutes

In other bases

ternary (3) 1211010111120

quaternary (4) 3230011230

quinary (5) 221421040

senary (6) 32420540

septenary (7) 11135205

nonary (9) 1733446

undecimal (11) 60059a

duodecimal (12) 3a7750

tridecimal (13) 27b202

tetradecimal (14) 1b25ac

pentadecimal (15) 1417d0

As an angle

967,020° = 2,686 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian): ͵ϡξζκʹ
Chinese: 九十六萬七千零二十
Chinese (financial): 玖拾陸萬柒仟零貳拾

In other modern scripts

Eastern Arabic ٩٦٧٠٢٠ Devanagari ९६७०२० Bengali ৯৬৭০২০ Tamil ௯௬௭௦௨௦ Thai ๙๖๗๐๒๐ Tibetan ༩༦༧༠༢༠ Khmer ៩៦៧០២០ Lao ໙໖໗໐໒໐ Burmese ၉၆၇၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 967020, here are decompositions:

17 + 967003 = 967020
23 + 966997 = 967020
29 + 966991 = 967020
59 + 966961 = 967020
83 + 966937 = 967020
97 + 966923 = 967020
101 + 966919 = 967020
107 + 966913 = 967020

Showing the first eight; more decompositions exist.

Hex color

#0EC16C

RGB(14, 193, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.193.108.

Address: 0.14.193.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.193.108

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 967,020 and was likely granted around 1910.

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

Look up US967,020 on Google Patents ↗ Look up on USPTO ↗