Live analysis

1,002,720

1,002,720 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.).

1,002,720 (one million two thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 2,089. Its proper divisors sum to 2,157,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CE0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,708 1,002,709 1,002,710 1,002,711 1,002,712 1,002,713 1,002,714 1,002,715 1,002,716 1,002,717 1,002,718 1,002,719 1,002,720 1,002,721 1,002,722 1,002,723 1,002,724 1,002,725 1,002,726 1,002,727 1,002,728 1,002,729 1,002,730 1,002,731 1,002,732

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 272,001
Square (n²): 1,005,447,398,400
Cube (n³): 1,008,182,215,323,648,000
Divisor count: 48
σ(n) — sum of divisors: 3,160,080
φ(n) — Euler's totient: 267,264
Sum of prime factors: 2,107

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 2089

Nearest primes: 1,002,719 (−1) · 1,002,721 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 2089 · 4178 · 6267 · 8356 · 10445 · 12534 · 16712 · 20890 · 25068 · 31335 · 33424 · 41780 · 50136 · 62670 · 66848 · 83560 · 100272 · 125340 · 167120 · 200544 · 250680 · 334240 · 501360 (half) · 1002720

Aliquot sum (sum of proper divisors): 2,157,360

Factor pairs (a × b = 1,002,720)

1 × 1002720

2 × 501360

3 × 334240

4 × 250680

5 × 200544

6 × 167120

8 × 125340

10 × 100272

12 × 83560

15 × 66848

16 × 62670

20 × 50136

24 × 41780

30 × 33424

32 × 31335

40 × 25068

48 × 20890

60 × 16712

80 × 12534

96 × 10445

120 × 8356

160 × 6267

240 × 4178

480 × 2089

First multiples

1,002,720 · 2,005,440 (double) · 3,008,160 · 4,010,880 · 5,013,600 · 6,016,320 · 7,019,040 · 8,021,760 · 9,024,480 · 10,027,200

Sums & aliquot sequence

As consecutive integers: 334,239 + 334,240 + 334,241 200,542 + 200,543 + 200,544 + 200,545 + 200,546 66,841 + 66,842 + … + 66,855 15,636 + 15,637 + … + 15,699

Aliquot sequence: 1,002,720 → 2,157,360 → 4,672,560 → 9,813,120 → 23,234,880 → 50,538,912 → 91,129,440 → 195,929,808 → 310,222,320 → 651,467,616 → 1,087,634,784 → 1,917,676,896 → 3,160,801,488 → 5,640,537,968 → 6,149,592,832 → 6,169,398,944 → 6,315,990,952 — unresolved within range

Continued fraction of √n

√1,002,720 = [1001; (2, 1, 3, 1, 1, 1, 5, 1, 3, 1, 27, 2, 2, 2, 1, 1, 3, 1, 1, 2, 2, 2, 27, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million two thousand seven hundred twenty
Ordinal: 1002720th
Binary: 11110100110011100000
Octal: 3646340
Hexadecimal: 0xF4CE0
Base64: D0zg
One's complement: 4,293,964,575 (32-bit)
Scientific notation: 1.00272 × 10⁶
As a duration: 1,002,720 s = 11 days, 14 hours, 32 minutes

In other bases

ternary (3) 1212221110210

quaternary (4) 3310303200

quinary (5) 224041340

senary (6) 33254120

septenary (7) 11344245

nonary (9) 1787423

undecimal (11) 6253a4

duodecimal (12) 404340

tridecimal (13) 291534

tetradecimal (14) 1c15cc

pentadecimal (15) 14c180

As an angle

1,002,720° = 2,785 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬二千七百二十
Chinese (financial): 壹佰萬貳仟柒佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٧٢٠ Devanagari १००२७२० Bengali ১০০২৭২০ Tamil ௧௦௦௨௭௨௦ Thai ๑๐๐๒๗๒๐ Tibetan ༡༠༠༢༧༢༠ Khmer ១០០២៧២០ Lao ໑໐໐໒໗໒໐ Burmese ၁၀၀၂၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002720, here are decompositions:

7 + 1002713 = 1002720
11 + 1002709 = 1002720
41 + 1002679 = 1002720
67 + 1002653 = 1002720
73 + 1002647 = 1002720
97 + 1002623 = 1002720
101 + 1002619 = 1002720
137 + 1002583 = 1002720

Showing the first eight; more decompositions exist.

Hex color

#0F4CE0

RGB(15, 76, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.224.

Address: 0.15.76.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.224

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 1,002,720 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 US1,002,720 on Google Patents ↗ Look up on USPTO ↗