Live analysis

1,021,040

1,021,040 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.).

1,021,040 (one million twenty-one thousand forty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,763. Its proper divisors sum to 1,353,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9470.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,021,028 1,021,029 1,021,030 1,021,031 1,021,032 1,021,033 1,021,034 1,021,035 1,021,036 1,021,037 1,021,038 1,021,039 1,021,040 1,021,041 1,021,042 1,021,043 1,021,044 1,021,045 1,021,046 1,021,047 1,021,048 1,021,049 1,021,050 1,021,051 1,021,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 401,201
Square (n²): 1,042,522,681,600
Cube (n³): 1,064,457,358,820,864,000
Divisor count: 20
σ(n) — sum of divisors: 2,374,104
φ(n) — Euler's totient: 408,384
Sum of prime factors: 12,776

Primality

Prime factorization: 2 ⁴ × 5 × 12763

Nearest primes: 1,021,019 (−21) · 1,021,043 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12763 · 25526 · 51052 · 63815 · 102104 · 127630 · 204208 · 255260 · 510520 (half) · 1021040

Aliquot sum (sum of proper divisors): 1,353,064

Factor pairs (a × b = 1,021,040)

1 × 1021040

2 × 510520

4 × 255260

5 × 204208

8 × 127630

10 × 102104

16 × 63815

20 × 51052

40 × 25526

80 × 12763

First multiples

1,021,040 · 2,042,080 (double) · 3,063,120 · 4,084,160 · 5,105,200 · 6,126,240 · 7,147,280 · 8,168,320 · 9,189,360 · 10,210,400

Sums & aliquot sequence

As consecutive integers: 204,206 + 204,207 + 204,208 + 204,209 + 204,210 31,892 + 31,893 + … + 31,923 6,302 + 6,303 + … + 6,461

Aliquot sequence: 1,021,040 → 1,353,064 → 1,333,436 → 1,179,676 → 884,764 → 768,356 → 648,220 → 713,084 → 561,700 → 696,032 → 674,344 → 736,856 → 644,764 → 489,236 → 444,844 → 333,640 → 458,360 — unresolved within range

Continued fraction of √n

√1,021,040 = [1010; (2, 6, 1, 2, 4, 22, 2, 10, 2, 3, 2, 1, 10, 1, 3, 1, 2, 4, 1, 1, 1, 4, 2, 1, …)]

Representations

In words: one million twenty-one thousand forty
Ordinal: 1021040th
Binary: 11111001010001110000
Octal: 3712160
Hexadecimal: 0xF9470
Base64: D5Rw
One's complement: 4,293,946,255 (32-bit)
Scientific notation: 1.02104 × 10⁶
As a duration: 1,021,040 s = 11 days, 19 hours, 37 minutes, 20 seconds

In other bases

ternary (3) 1220212121022

quaternary (4) 3321101300

quinary (5) 230133130

senary (6) 33515012

septenary (7) 11451536

nonary (9) 1825538

undecimal (11) 638139

duodecimal (12) 412a68

tridecimal (13) 299987

tetradecimal (14) 1c8156

pentadecimal (15) 1527e5

As an angle

1,021,040° = 2,836 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零二萬一千零四十
Chinese (financial): 壹佰零貳萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠٢١٠٤٠ Devanagari १०२१०४० Bengali ১০২১০৪০ Tamil ௧௦௨௧௦௪௦ Thai ๑๐๒๑๐๔๐ Tibetan ༡༠༢༡༠༤༠ Khmer ១០២១០៤០ Lao ໑໐໒໑໐໔໐ Burmese ၁၀၂၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021040, here are decompositions:

43 + 1020997 = 1021040
61 + 1020979 = 1021040
67 + 1020973 = 1021040
73 + 1020967 = 1021040
79 + 1020961 = 1021040
109 + 1020931 = 1021040
127 + 1020913 = 1021040
193 + 1020847 = 1021040

Showing the first eight; more decompositions exist.

Hex color

#0F9470

RGB(15, 148, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.112.

Address: 0.15.148.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.148.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1040-02-01 (DMMYYYY (Euro, single-digit day))
1040-10-02 (MMDYYYY (US, single-digit day))
1040-02-10 (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 1,021,040 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,021,040 on Google Patents ↗ Look up on USPTO ↗