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1,020,640

1,020,640 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.).

1,020,640 (one million twenty thousand six hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,379. Its proper divisors sum to 1,391,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF92E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
460,201
Square (n²)
1,041,706,009,600
Cube (n³)
1,063,206,821,638,144,000
Divisor count
24
σ(n) — sum of divisors
2,411,640
φ(n) — Euler's totient
408,192
Sum of prime factors
6,394

Primality

Prime factorization: 2 5 × 5 × 6379

Nearest primes: 1,020,631 (−9) · 1,020,667 (+27)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6379 · 12758 · 25516 · 31895 · 51032 · 63790 · 102064 · 127580 · 204128 · 255160 · 510320 (half) · 1020640
Aliquot sum (sum of proper divisors): 1,391,000
Factor pairs (a × b = 1,020,640)
1 × 1020640
2 × 510320
4 × 255160
5 × 204128
8 × 127580
10 × 102064
16 × 63790
20 × 51032
32 × 31895
40 × 25516
80 × 12758
160 × 6379
First multiples
1,020,640 · 2,041,280 (double) · 3,061,920 · 4,082,560 · 5,103,200 · 6,123,840 · 7,144,480 · 8,165,120 · 9,185,760 · 10,206,400

Sums & aliquot sequence

As consecutive integers: 204,126 + 204,127 + 204,128 + 204,129 + 204,130 15,916 + 15,917 + … + 15,979 3,030 + 3,031 + … + 3,349
Aliquot sequence: 1,020,640 1,391,000 2,147,080 3,056,720 4,427,920 7,339,184 6,935,200 9,997,310 8,038,690 7,746,590 6,647,650 5,717,072 5,502,448 6,866,800 9,631,648 11,060,072 9,740,728 — unresolved within range

Continued fraction of √n

√1,020,640 = [1010; (3, 1, 2, 1, 6, 2, 1, 1, 1, 1, 1, 7, 1, 3, 4, 30, 1, 5, 1, 2, 9, 20, 1, 15, …)]

Representations

In words
one million twenty thousand six hundred forty
Ordinal
1020640th
Binary
11111001001011100000
Octal
3711340
Hexadecimal
0xF92E0
Base64
D5Lg
One's complement
4,293,946,655 (32-bit)
Scientific notation
1.02064 × 10⁶
As a duration
1,020,640 s = 11 days, 19 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 1220212001111
quaternary (4) 3321023200
quinary (5) 230130030
senary (6) 33513104
septenary (7) 11450425
nonary (9) 1825044
undecimal (11) 637905
duodecimal (12) 412794
tridecimal (13) 29973a
tetradecimal (14) 1c7d4c
pentadecimal (15) 15262a

As an angle

1,020,640° = 2,835 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬零六百四十
Chinese (financial)
壹佰零貳萬零陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٢٠٦٤٠ Devanagari १०२०६४० Bengali ১০২০৬৪০ Tamil ௧௦௨௦௬௪௦ Thai ๑๐๒๐๖๔๐ Tibetan ༡༠༢༠༦༤༠ Khmer ១០២០៦៤០ Lao ໑໐໒໐໖໔໐ Burmese ၁၀၂၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020640, here are decompositions:

  • 41 + 1020599 = 1020640
  • 83 + 1020557 = 1020640
  • 149 + 1020491 = 1020640
  • 227 + 1020413 = 1020640
  • 233 + 1020407 = 1020640
  • 239 + 1020401 = 1020640
  • 251 + 1020389 = 1020640
  • 311 + 1020329 = 1020640

Showing the first eight; more decompositions exist.

Hex color
#0F92E0
RGB(15, 146, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.146.224.

Address
0.15.146.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.146.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0640-02-01 (DMMYYYY (Euro, single-digit day))
  • 0640-10-02 (MMDYYYY (US, single-digit day))
  • 0640-02-10 (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 1,020,640 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.