Live analysis

1,042,020

1,042,020 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.).

1,042,020 (one million forty-two thousand twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 827. Its proper divisors sum to 2,574,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE664.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,042,008 1,042,009 1,042,010 1,042,011 1,042,012 1,042,013 1,042,014 1,042,015 1,042,016 1,042,017 1,042,018 1,042,019 1,042,020 1,042,021 1,042,022 1,042,023 1,042,024 1,042,025 1,042,026 1,042,027 1,042,028 1,042,029 1,042,030 1,042,031 1,042,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 202,401
Square (n²): 1,085,805,680,400
Cube (n³): 1,131,431,235,090,408,000
Divisor count: 72
σ(n) — sum of divisors: 3,616,704
φ(n) — Euler's totient: 237,888
Sum of prime factors: 849

Primality

Prime factorization: 2 ² × 3 ² × 5 × 7 × 827

Nearest primes: 1,042,001 (−19) · 1,042,021 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 60 · 63 · 70 · 84 · 90 · 105 · 126 · 140 · 180 · 210 · 252 · 315 · 420 · 630 · 827 · 1260 · 1654 · 2481 · 3308 · 4135 · 4962 · 5789 · 7443 · 8270 · 9924 · 11578 · 12405 · 14886 · 16540 · 17367 · 23156 · 24810 · 28945 · 29772 · 34734 · 37215 · 49620 · 52101 · 57890 · 69468 · 74430 · 86835 · 104202 · 115780 · 148860 · 173670 · 208404 · 260505 · 347340 · 521010 (half) · 1042020

Aliquot sum (sum of proper divisors): 2,574,684

Factor pairs (a × b = 1,042,020)

1 × 1042020

2 × 521010

3 × 347340

4 × 260505

5 × 208404

6 × 173670

7 × 148860

9 × 115780

10 × 104202

12 × 86835

14 × 74430

15 × 69468

18 × 57890

20 × 52101

21 × 49620

28 × 37215

30 × 34734

35 × 29772

36 × 28945

42 × 24810

45 × 23156

60 × 17367

63 × 16540

70 × 14886

84 × 12405

90 × 11578

105 × 9924

126 × 8270

140 × 7443

180 × 5789

210 × 4962

252 × 4135

315 × 3308

420 × 2481

630 × 1654

827 × 1260

First multiples

1,042,020 · 2,084,040 (double) · 3,126,060 · 4,168,080 · 5,210,100 · 6,252,120 · 7,294,140 · 8,336,160 · 9,378,180 · 10,420,200

Sums & aliquot sequence

As consecutive integers: 347,339 + 347,340 + 347,341 208,402 + 208,403 + 208,404 + 208,405 + 208,406 148,857 + 148,858 + … + 148,863 130,249 + 130,250 + … + 130,256

Aliquot sequence: 1,042,020 → 2,574,684 → 5,313,924 → 12,297,852 → 24,142,468 → 24,142,524 → 40,923,204 → 68,803,644 → 132,337,044 → 290,539,116 → 574,620,564 → 957,701,164 → 962,776,276 → 1,140,314,924 → 1,140,314,980 → 1,605,880,220 → 2,381,142,820 — unresolved within range

Continued fraction of √n

√1,042,020 = [1020; (1, 3, 1, 5, 1, 1, 1, 18, 12, 2, 1, 1, 7, 1, 1, 6, 3, 1, 33, 1, 5, 2, 2, 4, …)]

Representations

In words: one million forty-two thousand twenty
Ordinal: 1042020th
Binary: 11111110011001100100
Octal: 3763144
Hexadecimal: 0xFE664
Base64: D+Zk
One's complement: 4,293,925,275 (32-bit)
Scientific notation: 1.04202 × 10⁶
As a duration: 1,042,020 s = 12 days, 1 hour, 27 minutes

In other bases

ternary (3) 1221221101100

quaternary (4) 3332121210

quinary (5) 231321040

senary (6) 34200100

septenary (7) 11566650

nonary (9) 1857340

undecimal (11) 651981

duodecimal (12) 423030

tridecimal (13) 2a63a5

tetradecimal (14) 1d1a60

pentadecimal (15) 158b30

As an angle

1,042,020° = 2,894 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆
Chinese: 一百零四萬二千零二十
Chinese (financial): 壹佰零肆萬貳仟零貳拾

In other modern scripts

Eastern Arabic ١٠٤٢٠٢٠ Devanagari १०४२०२० Bengali ১০৪২০২০ Tamil ௧௦௪௨௦௨௦ Thai ๑๐๔๒๐๒๐ Tibetan ༡༠༤༢༠༢༠ Khmer ១០៤២០២០ Lao ໑໐໔໒໐໒໐ Burmese ၁၀၄၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042020, here are decompositions:

19 + 1042001 = 1042020
29 + 1041991 = 1042020
37 + 1041983 = 1042020
59 + 1041961 = 1042020
71 + 1041949 = 1042020
101 + 1041919 = 1042020
113 + 1041907 = 1042020
127 + 1041893 = 1042020

Showing the first eight; more decompositions exist.

Hex color

#0FE664

RGB(15, 230, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.100.

Address: 0.15.230.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.100

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 2020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2020-04-01 (DMMYYYY (Euro, single-digit day))
2020-10-04 (MMDYYYY (US, single-digit day))
2020-04-10 (DDMYYYY (Euro, single-digit month))

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 1,042,020 and was likely granted around 1912.

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

Look up US1,042,020 on Google Patents ↗ Look up on USPTO ↗