Live analysis

1,020,120

1,020,120 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.).

1,020,120 (one million twenty thousand one hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,501. Its proper divisors sum to 2,040,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF90D8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,020,108 1,020,109 1,020,110 1,020,111 1,020,112 1,020,113 1,020,114 1,020,115 1,020,116 1,020,117 1,020,118 1,020,119 1,020,120 1,020,121 1,020,122 1,020,123 1,020,124 1,020,125 1,020,126 1,020,127 1,020,128 1,020,129 1,020,130 1,020,131 1,020,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 210,201
Square (n²): 1,040,644,814,400
Cube (n³): 1,061,582,588,065,728,000
Divisor count: 32
σ(n) — sum of divisors: 3,060,720
φ(n) — Euler's totient: 272,000
Sum of prime factors: 8,515

Primality

Prime factorization: 2 ³ × 3 × 5 × 8501

Nearest primes: 1,020,113 (−7) · 1,020,137 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8501 · 17002 · 25503 · 34004 · 42505 · 51006 · 68008 · 85010 · 102012 · 127515 · 170020 · 204024 · 255030 · 340040 · 510060 (half) · 1020120

Aliquot sum (sum of proper divisors): 2,040,600

Factor pairs (a × b = 1,020,120)

1 × 1020120

2 × 510060

3 × 340040

4 × 255030

5 × 204024

6 × 170020

8 × 127515

10 × 102012

12 × 85010

15 × 68008

20 × 51006

24 × 42505

30 × 34004

40 × 25503

60 × 17002

120 × 8501

First multiples

1,020,120 · 2,040,240 (double) · 3,060,360 · 4,080,480 · 5,100,600 · 6,120,720 · 7,140,840 · 8,160,960 · 9,181,080 · 10,201,200

Sums & aliquot sequence

As consecutive integers: 340,039 + 340,040 + 340,041 204,022 + 204,023 + 204,024 + 204,025 + 204,026 68,001 + 68,002 + … + 68,015 63,750 + 63,751 + … + 63,765

Aliquot sequence: 1,020,120 → 2,040,600 → 4,655,400 → 9,778,200 → 21,321,000 → 54,607,320 → 122,867,640 → 333,507,240 → 900,284,760 → 2,100,668,040 → 4,918,352,760 → 11,066,294,880 — keeps growing

Continued fraction of √n

√1,020,120 = [1010; (101, 2020)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million twenty thousand one hundred twenty
Ordinal: 1020120th
Binary: 11111001000011011000
Octal: 3710330
Hexadecimal: 0xF90D8
Base64: D5DY
One's complement: 4,293,947,175 (32-bit)
Scientific notation: 1.02012 × 10⁶
As a duration: 1,020,120 s = 11 days, 19 hours, 22 minutes

In other bases

ternary (3) 1220211100020

quaternary (4) 3321003120

quinary (5) 230120440

senary (6) 33510440

septenary (7) 11446053

nonary (9) 1824306

undecimal (11) 637482

duodecimal (12) 412420

tridecimal (13) 29942a

tetradecimal (14) 1c7a9a

pentadecimal (15) 1523d0

As an angle

1,020,120° = 2,833 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓍢𓎆𓎆
Chinese: 一百零二萬零一百二十
Chinese (financial): 壹佰零貳萬零壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٢٠١٢٠ Devanagari १०२०१२० Bengali ১০২০১২০ Tamil ௧௦௨௦௧௨௦ Thai ๑๐๒๐๑๒๐ Tibetan ༡༠༢༠༡༢༠ Khmer ១០២០១២០ Lao ໑໐໒໐໑໒໐ Burmese ၁၀၂၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020120, here are decompositions:

7 + 1020113 = 1020120
11 + 1020109 = 1020120
19 + 1020101 = 1020120
41 + 1020079 = 1020120
43 + 1020077 = 1020120
61 + 1020059 = 1020120
71 + 1020049 = 1020120
83 + 1020037 = 1020120

Showing the first eight; more decompositions exist.

Hex color

#0F90D8

RGB(15, 144, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.216.

Address: 0.15.144.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 0120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0120-02-01 (DMMYYYY (Euro, single-digit day))
0120-10-02 (MMDYYYY (US, single-digit day))
0120-02-10 (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 1,020,120 and was likely granted around 1911.

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

Look up US1,020,120 on Google Patents ↗ Look up on USPTO ↗