Live analysis

1,002,120

1,002,120 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.).

1,002,120 (one million two thousand one hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 1,193. Its proper divisors sum to 2,436,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A88.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114 1,002,115 1,002,116 1,002,117 1,002,118 1,002,119 1,002,120 1,002,121 1,002,122 1,002,123 1,002,124 1,002,125 1,002,126 1,002,127 1,002,128 1,002,129 1,002,130 1,002,131 1,002,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 212,001
Square (n²): 1,004,244,494,400
Cube (n³): 1,006,373,492,728,128,000
Divisor count: 64
σ(n) — sum of divisors: 3,438,720
φ(n) — Euler's totient: 228,864
Sum of prime factors: 1,214

Primality

Prime factorization: 2 ³ × 3 × 5 × 7 × 1193

Nearest primes: 1,002,109 (−11) · 1,002,121 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 168 · 210 · 280 · 420 · 840 · 1193 · 2386 · 3579 · 4772 · 5965 · 7158 · 8351 · 9544 · 11930 · 14316 · 16702 · 17895 · 23860 · 25053 · 28632 · 33404 · 35790 · 41755 · 47720 · 50106 · 66808 · 71580 · 83510 · 100212 · 125265 · 143160 · 167020 · 200424 · 250530 · 334040 · 501060 (half) · 1002120

Aliquot sum (sum of proper divisors): 2,436,600

Factor pairs (a × b = 1,002,120)

1 × 1002120

2 × 501060

3 × 334040

4 × 250530

5 × 200424

6 × 167020

7 × 143160

8 × 125265

10 × 100212

12 × 83510

14 × 71580

15 × 66808

20 × 50106

21 × 47720

24 × 41755

28 × 35790

30 × 33404

35 × 28632

40 × 25053

42 × 23860

56 × 17895

60 × 16702

70 × 14316

84 × 11930

105 × 9544

120 × 8351

140 × 7158

168 × 5965

210 × 4772

280 × 3579

420 × 2386

840 × 1193

First multiples

1,002,120 · 2,004,240 (double) · 3,006,360 · 4,008,480 · 5,010,600 · 6,012,720 · 7,014,840 · 8,016,960 · 9,019,080 · 10,021,200

Sums & aliquot sequence

As consecutive integers: 334,039 + 334,040 + 334,041 200,422 + 200,423 + 200,424 + 200,425 + 200,426 143,157 + 143,158 + … + 143,163 66,801 + 66,802 + … + 66,815

Aliquot sequence: 1,002,120 → 2,436,600 → 5,420,040 → 11,739,000 → 34,387,080 → 97,217,400 → 252,760,200 → 724,320,120 → 1,448,640,600 → 3,450,420,840 → 7,096,167,960 → 17,233,553,640 — keeps growing

Continued fraction of √n

√1,002,120 = [1001; (16, 1, 4, 1, 2, 6, 1, 1, 2, 1, 5, 1, 2, 1, 1, 2, 1, 2, 1, 5, 1, 1, 1, 1, …)]

Representations

In words: one million two thousand one hundred twenty
Ordinal: 1002120th
Binary: 11110100101010001000
Octal: 3645210
Hexadecimal: 0xF4A88
Base64: D0qI
One's complement: 4,293,965,175 (32-bit)
Scientific notation: 1.00212 × 10⁶
As a duration: 1,002,120 s = 11 days, 14 hours, 22 minutes

In other bases

ternary (3) 1212220122120

quaternary (4) 3310222020

quinary (5) 224031440

senary (6) 33251240

septenary (7) 11342430

nonary (9) 1786576

undecimal (11) 6249a9

duodecimal (12) 403b20

tridecimal (13) 291192

tetradecimal (14) 1c12c0

pentadecimal (15) 14bdd0

Palindromic in base 13

As an angle

1,002,120° = 2,783 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬二千一百二十
Chinese (financial): 壹佰萬貳仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢١٢٠ Devanagari १००२१२० Bengali ১০০২১২০ Tamil ௧௦௦௨௧௨௦ Thai ๑๐๐๒๑๒๐ Tibetan ༡༠༠༢༡༢༠ Khmer ១០០២១២០ Lao ໑໐໐໒໑໒໐ Burmese ၁၀၀၂၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002120, here are decompositions:

11 + 1002109 = 1002120
19 + 1002101 = 1002120
29 + 1002091 = 1002120
37 + 1002083 = 1002120
43 + 1002077 = 1002120
47 + 1002073 = 1002120
59 + 1002061 = 1002120
71 + 1002049 = 1002120

Showing the first eight; more decompositions exist.

Hex color

#0F4A88

RGB(15, 74, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.136.

Address: 0.15.74.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.136

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 1,002,120 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 US1,002,120 on Google Patents ↗ Look up on USPTO ↗