Live analysis

1,005,120

1,005,120 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.).

1,005,120 (one million five thousand one hundred twenty) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 349. Its proper divisors sum to 2,461,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5640.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,108 1,005,109 1,005,110 1,005,111 1,005,112 1,005,113 1,005,114 1,005,115 1,005,116 1,005,117 1,005,118 1,005,119 1,005,120 1,005,121 1,005,122 1,005,123 1,005,124 1,005,125 1,005,126 1,005,127 1,005,128 1,005,129 1,005,130 1,005,131 1,005,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 215,001
Square (n²): 1,010,266,214,400
Cube (n³): 1,015,438,777,417,728,000
Divisor count: 84
σ(n) — sum of divisors: 3,467,100
φ(n) — Euler's totient: 267,264
Sum of prime factors: 372

Primality

Prime factorization: 2 ⁶ × 3 ² × 5 × 349

Nearest primes: 1,005,107 (−13) · 1,005,131 (+11)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 192 · 240 · 288 · 320 · 349 · 360 · 480 · 576 · 698 · 720 · 960 · 1047 · 1396 · 1440 · 1745 · 2094 · 2792 · 2880 · 3141 · 3490 · 4188 · 5235 · 5584 · 6282 · 6980 · 8376 · 10470 · 11168 · 12564 · 13960 · 15705 · 16752 · 20940 · 22336 · 25128 · 27920 · 31410 · 33504 · 41880 · 50256 · 55840 · 62820 · 67008 · 83760 · 100512 · 111680 · 125640 · 167520 · 201024 · 251280 · 335040 · 502560 (half) · 1005120

Aliquot sum (sum of proper divisors): 2,461,980

Factor pairs (a × b = 1,005,120)

1 × 1005120

2 × 502560

3 × 335040

4 × 251280

5 × 201024

6 × 167520

8 × 125640

9 × 111680

10 × 100512

12 × 83760

15 × 67008

16 × 62820

18 × 55840

20 × 50256

24 × 41880

30 × 33504

32 × 31410

36 × 27920

40 × 25128

45 × 22336

48 × 20940

60 × 16752

64 × 15705

72 × 13960

80 × 12564

90 × 11168

96 × 10470

120 × 8376

144 × 6980

160 × 6282

180 × 5584

192 × 5235

240 × 4188

288 × 3490

320 × 3141

349 × 2880

360 × 2792

480 × 2094

576 × 1745

698 × 1440

720 × 1396

960 × 1047

First multiples

1,005,120 · 2,010,240 (double) · 3,015,360 · 4,020,480 · 5,025,600 · 6,030,720 · 7,035,840 · 8,040,960 · 9,046,080 · 10,051,200

Sums & aliquot sequence

As a sum of two squares: 192² + 984² = 672² + 744²

As consecutive integers: 335,039 + 335,040 + 335,041 201,022 + 201,023 + 201,024 + 201,025 + 201,026 111,676 + 111,677 + … + 111,684 67,001 + 67,002 + … + 67,015

Aliquot sequence: 1,005,120 → 2,461,980 → 4,624,260 → 8,679,996 → 16,361,748 → 28,179,840 → 68,638,560 → 149,234,592 → 275,480,160 → 610,817,952 → 1,060,002,528 → 1,950,439,872 → 3,210,099,464 → 3,861,101,176 → 3,378,463,544 → 2,956,155,616 → 3,003,059,744 — unresolved within range

Continued fraction of √n

√1,005,120 = [1002; (1, 1, 3, 1, 9, 1, 2, 1, 1, 2, 1, 7, 1, 1, 2, 222, 2, 1, 1, 7, 1, 2, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million five thousand one hundred twenty
Ordinal: 1005120th
Binary: 11110101011001000000
Octal: 3653100
Hexadecimal: 0xF5640
Base64: D1ZA
One's complement: 4,293,962,175 (32-bit)
Scientific notation: 1.00512 × 10⁶
As a duration: 1,005,120 s = 11 days, 15 hours, 12 minutes

In other bases

ternary (3) 1220001202200

quaternary (4) 3311121000

quinary (5) 224130440

senary (6) 33313200

septenary (7) 11354244

nonary (9) 1801680

undecimal (11) 627186

duodecimal (12) 405800

tridecimal (13) 29265c

tetradecimal (14) 1c2424

pentadecimal (15) 14cc30

As an angle

1,005,120° = 2,792 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬五千一百二十
Chinese (financial): 壹佰萬伍仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٥١٢٠ Devanagari १००५१२० Bengali ১০০৫১২০ Tamil ௧௦௦௫௧௨௦ Thai ๑๐๐๕๑๒๐ Tibetan ༡༠༠༥༡༢༠ Khmer ១០០៥១២០ Lao ໑໐໐໕໑໒໐ Burmese ၁၀၀၅၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005120, here are decompositions:

13 + 1005107 = 1005120
19 + 1005101 = 1005120
41 + 1005079 = 1005120
47 + 1005073 = 1005120
71 + 1005049 = 1005120
79 + 1005041 = 1005120
101 + 1005019 = 1005120
107 + 1005013 = 1005120

Showing the first eight; more decompositions exist.

Hex color

#0F5640

RGB(15, 86, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.64.

Address: 0.15.86.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.86.64

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 1,005,120 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 US1,005,120 on Google Patents ↗ Look up on USPTO ↗