Live analysis

1,020,040

1,020,040 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.).

1,020,040 (one million twenty thousand forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 3,643. Its proper divisors sum to 1,603,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9088.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,020,028 1,020,029 1,020,030 1,020,031 1,020,032 1,020,033 1,020,034 1,020,035 1,020,036 1,020,037 1,020,038 1,020,039 1,020,040 1,020,041 1,020,042 1,020,043 1,020,044 1,020,045 1,020,046 1,020,047 1,020,048 1,020,049 1,020,050 1,020,051 1,020,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 400,201
Square (n²): 1,040,481,601,600
Cube (n³): 1,061,332,852,896,064,000
Divisor count: 32
σ(n) — sum of divisors: 2,623,680
φ(n) — Euler's totient: 349,632
Sum of prime factors: 3,661

Primality

Prime factorization: 2 ³ × 5 × 7 × 3643

Nearest primes: 1,020,037 (−3) · 1,020,043 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 3643 · 7286 · 14572 · 18215 · 25501 · 29144 · 36430 · 51002 · 72860 · 102004 · 127505 · 145720 · 204008 · 255010 · 510020 (half) · 1020040

Aliquot sum (sum of proper divisors): 1,603,640

Factor pairs (a × b = 1,020,040)

1 × 1020040

2 × 510020

4 × 255010

5 × 204008

7 × 145720

8 × 127505

10 × 102004

14 × 72860

20 × 51002

28 × 36430

35 × 29144

40 × 25501

56 × 18215

70 × 14572

140 × 7286

280 × 3643

First multiples

1,020,040 · 2,040,080 (double) · 3,060,120 · 4,080,160 · 5,100,200 · 6,120,240 · 7,140,280 · 8,160,320 · 9,180,360 · 10,200,400

Sums & aliquot sequence

As consecutive integers: 204,006 + 204,007 + 204,008 + 204,009 + 204,010 145,717 + 145,718 + … + 145,723 63,745 + 63,746 + … + 63,760 29,127 + 29,128 + … + 29,161

Aliquot sequence: 1,020,040 → 1,603,640 → 2,085,640 → 2,813,240 → 3,640,840 → 5,722,040 → 7,831,960 → 10,558,280 → 13,197,940 → 19,509,644 → 23,821,756 → 24,249,764 → 29,918,812 → 36,529,052 → 36,529,108 → 44,598,764 → 47,011,636 — unresolved within range

Continued fraction of √n

√1,020,040 = [1009; (1, 32, 1, 1, 1, 223, 1, 3, 2, 3, 3, 2, 1, 1, 1, 24, 3, 4, 9, 1, 11, 2, 2, 2, …)]

Representations

In words: one million twenty thousand forty
Ordinal: 1020040th
Binary: 11111001000010001000
Octal: 3710210
Hexadecimal: 0xF9088
Base64: D5CI
One's complement: 4,293,947,255 (32-bit)
Scientific notation: 1.02004 × 10⁶
As a duration: 1,020,040 s = 11 days, 19 hours, 20 minutes, 40 seconds

In other bases

ternary (3) 1220211020021

quaternary (4) 3321002020

quinary (5) 230120130

senary (6) 33510224

septenary (7) 11445610

nonary (9) 1824207

undecimal (11) 63740a

duodecimal (12) 412374

tridecimal (13) 299398

tetradecimal (14) 1c7a40

pentadecimal (15) 15237a

As an angle

1,020,040° = 2,833 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓎆𓎆𓎆
Chinese: 一百零二萬零四十
Chinese (financial): 壹佰零貳萬零肆拾

In other modern scripts

Eastern Arabic ١٠٢٠٠٤٠ Devanagari १०२००४० Bengali ১০২০০৪০ Tamil ௧௦௨௦௦௪௦ Thai ๑๐๒๐๐๔๐ Tibetan ༡༠༢༠༠༤༠ Khmer ១០២០០៤០ Lao ໑໐໒໐໐໔໐ Burmese ၁၀၂၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020040, here are decompositions:

3 + 1020037 = 1020040
17 + 1020023 = 1020040
29 + 1020011 = 1020040
113 + 1019927 = 1020040
137 + 1019903 = 1020040
167 + 1019873 = 1020040
179 + 1019861 = 1020040
191 + 1019849 = 1020040

Showing the first eight; more decompositions exist.

Hex color

#0F9088

RGB(15, 144, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.136.

Address: 0.15.144.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.136

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 0040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0040-02-01 (DMMYYYY (Euro, single-digit day))
0040-10-02 (MMDYYYY (US, single-digit day))
0040-02-10 (DDMYYYY (Euro, single-digit month))

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 1,020,040 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 US1,020,040 on Google Patents ↗ Look up on USPTO ↗