Live analysis

1,009,020

1,009,020 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.).

1,009,020 (one million nine thousand twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 67 × 251. Its proper divisors sum to 1,869,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF657C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,009,008 1,009,009 1,009,010 1,009,011 1,009,012 1,009,013 1,009,014 1,009,015 1,009,016 1,009,017 1,009,018 1,009,019 1,009,020 1,009,021 1,009,022 1,009,023 1,009,024 1,009,025 1,009,026 1,009,027 1,009,028 1,009,029 1,009,030 1,009,031 1,009,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 209,001
Recamán's sequence: a(347,411) = 1,009,020
Square (n²): 1,018,121,360,400
Cube (n³): 1,027,304,815,070,808,000
Divisor count: 48
σ(n) — sum of divisors: 2,878,848
φ(n) — Euler's totient: 264,000
Sum of prime factors: 330

Primality

Prime factorization: 2 ² × 3 × 5 × 67 × 251

Nearest primes: 1,009,007 (−13) · 1,009,037 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 67 · 134 · 201 · 251 · 268 · 335 · 402 · 502 · 670 · 753 · 804 · 1004 · 1005 · 1255 · 1340 · 1506 · 2010 · 2510 · 3012 · 3765 · 4020 · 5020 · 7530 · 15060 · 16817 · 33634 · 50451 · 67268 · 84085 · 100902 · 168170 · 201804 · 252255 · 336340 · 504510 (half) · 1009020

Aliquot sum (sum of proper divisors): 1,869,828

Factor pairs (a × b = 1,009,020)

1 × 1009020

2 × 504510

3 × 336340

4 × 252255

5 × 201804

6 × 168170

10 × 100902

12 × 84085

15 × 67268

20 × 50451

30 × 33634

60 × 16817

67 × 15060

134 × 7530

201 × 5020

251 × 4020

268 × 3765

335 × 3012

402 × 2510

502 × 2010

670 × 1506

753 × 1340

804 × 1255

1004 × 1005

First multiples

1,009,020 · 2,018,040 (double) · 3,027,060 · 4,036,080 · 5,045,100 · 6,054,120 · 7,063,140 · 8,072,160 · 9,081,180 · 10,090,200

Sums & aliquot sequence

As consecutive integers: 336,339 + 336,340 + 336,341 201,802 + 201,803 + 201,804 + 201,805 + 201,806 126,124 + 126,125 + … + 126,131 67,261 + 67,262 + … + 67,275

Aliquot sequence: 1,009,020 → 1,869,828 → 2,834,172 → 5,460,660 → 11,836,620 → 25,968,420 → 53,736,660 → 119,584,488 → 180,504,312 → 270,756,528 → 579,665,232 → 1,042,592,730 → 1,466,865,894 → 1,829,906,970 → 2,564,718,438 → 2,564,718,450 → 4,704,429,390 — unresolved within range

Continued fraction of √n

√1,009,020 = [1004; (2, 2008)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand twenty
Ordinal: 1009020th
Binary: 11110110010101111100
Octal: 3662574
Hexadecimal: 0xF657C
Base64: D2V8
One's complement: 4,293,958,275 (32-bit)
Scientific notation: 1.00902 × 10⁶
As a duration: 1,009,020 s = 11 days, 16 hours, 17 minutes

In other bases

ternary (3) 1220021010010

quaternary (4) 3312111330

quinary (5) 224242040

senary (6) 33343220

septenary (7) 11401515

nonary (9) 1807103

undecimal (11) 62a101

duodecimal (12) 407b10

tridecimal (13) 29436c

tetradecimal (14) 1c3a0c

pentadecimal (15) 14de80

As an angle

1,009,020° = 2,802 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百萬九千零二十
Chinese (financial): 壹佰萬玖仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٩٠٢٠ Devanagari १००९०२० Bengali ১০০৯০২০ Tamil ௧௦௦௯௦௨௦ Thai ๑๐๐๙๐๒๐ Tibetan ༡༠༠༩༠༢༠ Khmer ១០០៩០២០ Lao ໑໐໐໙໐໒໐ Burmese ၁၀၀၉၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009020, here are decompositions:

13 + 1009007 = 1009020
29 + 1008991 = 1009020
31 + 1008989 = 1009020
37 + 1008983 = 1009020
41 + 1008979 = 1009020
73 + 1008947 = 1009020
83 + 1008937 = 1009020
97 + 1008923 = 1009020

Showing the first eight; more decompositions exist.

Hex color

#0F657C

RGB(15, 101, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.124.

Address: 0.15.101.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.124

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 1,009,020 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 US1,009,020 on Google Patents ↗ Look up on USPTO ↗