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1,020,488

1,020,488 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.).

1,020,488 (one million twenty thousand four hundred eighty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 18,223. Its proper divisors sum to 1,166,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9248.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
8,840,201
Square (n²)
1,041,395,758,144
Cube (n³)
1,062,731,874,436,854,272
Divisor count
16
σ(n) — sum of divisors
2,186,880
φ(n) — Euler's totient
437,328
Sum of prime factors
18,236

Primality

Prime factorization: 2 3 × 7 × 18223

Nearest primes: 1,020,457 (−31) · 1,020,491 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 18223 · 36446 · 72892 · 127561 · 145784 · 255122 · 510244 (half) · 1020488
Aliquot sum (sum of proper divisors): 1,166,392
Factor pairs (a × b = 1,020,488)
1 × 1020488
2 × 510244
4 × 255122
7 × 145784
8 × 127561
14 × 72892
28 × 36446
56 × 18223
First multiples
1,020,488 · 2,040,976 (double) · 3,061,464 · 4,081,952 · 5,102,440 · 6,122,928 · 7,143,416 · 8,163,904 · 9,184,392 · 10,204,880

Sums & aliquot sequence

As consecutive integers: 145,781 + 145,782 + … + 145,787 63,773 + 63,774 + … + 63,788 9,056 + 9,057 + … + 9,167
Aliquot sequence: 1,020,488 1,166,392 1,020,608 1,064,224 1,330,784 1,900,864 2,411,040 5,185,248 8,426,280 18,945,240 37,890,840 86,214,120 183,682,200 429,559,800 905,823,480 2,080,160,520 4,163,319,480 — unresolved within range

Continued fraction of √n

√1,020,488 = [1010; (5, 4, 1, 5, 5, 3, 288, 3, 5, 5, 1, 4, 5, 2020)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one million twenty thousand four hundred eighty-eight
Ordinal
1020488th
Binary
11111001001001001000
Octal
3711110
Hexadecimal
0xF9248
Base64
D5JI
One's complement
4,293,946,807 (32-bit)
Scientific notation
1.020488 × 10⁶
As a duration
1,020,488 s = 11 days, 19 hours, 28 minutes, 8 seconds
In other bases
ternary (3) 1220211211212
quaternary (4) 3321021020
quinary (5) 230123423
senary (6) 33512252
septenary (7) 11450120
nonary (9) 1824755
undecimal (11) 637787
duodecimal (12) 412688
tridecimal (13) 299651
tetradecimal (14) 1c7c80
pentadecimal (15) 152578

As an angle

1,020,488° = 2,834 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬零四百八十八
Chinese (financial)
壹佰零貳萬零肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٢٠٤٨٨ Devanagari १०२०४८८ Bengali ১০২০৪৮৮ Tamil ௧௦௨௦௪௮௮ Thai ๑๐๒๐๔๘๘ Tibetan ༡༠༢༠༤༨༨ Khmer ១០២០៤៨៨ Lao ໑໐໒໐໔໘໘ Burmese ၁၀၂၀၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020488, here are decompositions:

  • 31 + 1020457 = 1020488
  • 37 + 1020451 = 1020488
  • 109 + 1020379 = 1020488
  • 127 + 1020361 = 1020488
  • 151 + 1020337 = 1020488
  • 229 + 1020259 = 1020488
  • 241 + 1020247 = 1020488
  • 331 + 1020157 = 1020488

Showing the first eight; more decompositions exist.

Hex color
#0F9248
RGB(15, 146, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.146.72.

Address
0.15.146.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.146.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 0488 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0488-02-01 (DMMYYYY (Euro, single-digit day))
  • 0488-10-02 (MMDYYYY (US, single-digit day))
  • 0488-02-10 (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 1,020,488 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°.