Live analysis

1,020,000

1,020,000 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.).

1,020,000 (one million twenty thousand) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁵ × 3 × 5⁴ × 17. Its proper divisors sum to 2,522,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9060.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,019,988 1,019,989 1,019,990 1,019,991 1,019,992 1,019,993 1,019,994 1,019,995 1,019,996 1,019,997 1,019,998 1,019,999 1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 201
Square (n²): 1,040,400,000,000
Cube (n³): 1,061,208,000,000,000,000
Divisor count: 120
σ(n) — sum of divisors: 3,542,616
φ(n) — Euler's totient: 256,000
Sum of prime factors: 50

Primality

Prime factorization: 2 ⁵ × 3 × 5 ⁴ × 17

Nearest primes: 1,019,971 (−29) · 1,020,001 (+1)

Divisors & multiples

All divisors (120)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 25 · 30 · 32 · 34 · 40 · 48 · 50 · 51 · 60 · 68 · 75 · 80 · 85 · 96 · 100 · 102 · 120 · 125 · 136 · 150 · 160 · 170 · 200 · 204 · 240 · 250 · 255 · 272 · 300 · 340 · 375 · 400 · 408 · 425 · 480 · 500 · 510 · 544 · 600 · 625 · 680 · 750 · 800 · 816 · 850 · 1000 · 1020 · 1200 · 1250 · 1275 · 1360 · 1500 · 1632 · 1700 · 1875 · 2000 · 2040 · 2125 · 2400 · 2500 · 2550 · 2720 · 3000 · 3400 · 3750 · 4000 · 4080 · 4250 · 5000 · 5100 · 6000 · 6375 · 6800 · 7500 · 8160 · 8500 · 10000 · 10200 · 10625 · 12000 · 12750 · 13600 · 15000 · 17000 · 20000 · 20400 · 21250 · 25500 · 30000 · 31875 · 34000 · 40800 · 42500 · 51000 · 60000 · 63750 · 68000 · 85000 · 102000 · 127500 · 170000 · 204000 · 255000 · 340000 · 510000 (half) · 1020000

Aliquot sum (sum of proper divisors): 2,522,616

Factor pairs (a × b = 1,020,000)

1 × 1020000

2 × 510000

3 × 340000

4 × 255000

5 × 204000

6 × 170000

8 × 127500

10 × 102000

12 × 85000

15 × 68000

16 × 63750

17 × 60000

20 × 51000

24 × 42500

25 × 40800

30 × 34000

32 × 31875

34 × 30000

40 × 25500

48 × 21250

50 × 20400

51 × 20000

60 × 17000

68 × 15000

75 × 13600

80 × 12750

85 × 12000

96 × 10625

100 × 10200

102 × 10000

120 × 8500

125 × 8160

136 × 7500

150 × 6800

160 × 6375

170 × 6000

200 × 5100

204 × 5000

240 × 4250

250 × 4080

255 × 4000

272 × 3750

300 × 3400

340 × 3000

375 × 2720

400 × 2550

408 × 2500

425 × 2400

480 × 2125

500 × 2040

510 × 2000

544 × 1875

600 × 1700

625 × 1632

680 × 1500

750 × 1360

800 × 1275

816 × 1250

850 × 1200

1000 × 1020

First multiples

1,020,000 · 2,040,000 (double) · 3,060,000 · 4,080,000 · 5,100,000 · 6,120,000 · 7,140,000 · 8,160,000 · 9,180,000 · 10,200,000

Sums & aliquot sequence

As consecutive integers: 339,999 + 340,000 + 340,001 203,998 + 203,999 + 204,000 + 204,001 + 204,002 67,993 + 67,994 + … + 68,007 59,992 + 59,993 + … + 60,008

Aliquot sequence: 1,020,000 → 2,522,616 → 3,860,184 → 5,790,336 → 10,513,344 → 18,948,624 → 33,428,976 → 69,113,568 → 122,986,032 → 221,070,072 → 331,605,168 → 562,290,000 → 1,252,953,936 → 2,722,173,584 → 2,988,960,322 → 1,535,895,230 → 1,228,716,202 — unresolved within range

Continued fraction of √n

√1,020,000 = [1009; (1, 19, 5, 80, 1, 1, 2, 19, 1, 3, 1, 79, 1, 503, 1, 79, 1, 3, 1, 19, 2, 1, 1, 80, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million twenty thousand
Ordinal: 1020000th
Binary: 11111001000001100000
Octal: 3710140
Hexadecimal: 0xF9060
Base64: D5Bg
One's complement: 4,293,947,295 (32-bit)
Scientific notation: 1.02 × 10⁶
As a duration: 1,020,000 s = 11 days, 19 hours, 20 minutes

In other bases

ternary (3) 1220211011210

quaternary (4) 3321001200

quinary (5) 230120000

senary (6) 33510120

septenary (7) 11445522

nonary (9) 1824153

undecimal (11) 637383

duodecimal (12) 412340

tridecimal (13) 299367

tetradecimal (14) 1c7a12

pentadecimal (15) 152350

As an angle

1,020,000° = 2,833 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍
Chinese: 一百零二萬
Chinese (financial): 壹佰零貳萬

In other modern scripts

Eastern Arabic ١٠٢٠٠٠٠ Devanagari १०२०००० Bengali ১০২০০০০ Tamil ௧௦௨௦௦௦௦ Thai ๑๐๒๐๐๐๐ Tibetan ༡༠༢༠༠༠༠ Khmer ១០២០០០០ Lao ໑໐໒໐໐໐໐ Burmese ၁၀၂၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020000, here are decompositions:

29 + 1019971 = 1020000
73 + 1019927 = 1020000
97 + 1019903 = 1020000
101 + 1019899 = 1020000
127 + 1019873 = 1020000
139 + 1019861 = 1020000
151 + 1019849 = 1020000
173 + 1019827 = 1020000

Showing the first eight; more decompositions exist.

Hex color

#0F9060

RGB(15, 144, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.96.

Address: 0.15.144.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.96

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 1,020,000 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 US1,020,000 on Google Patents ↗ Look up on USPTO ↗