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1,024,010

1,024,010 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.).

1,024,010 (one million twenty-four thousand ten) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 13 × 7,877. Written other ways, in hexadecimal, 0xFA00A.

Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
104,201
Square (n²)
1,048,596,480,100
Cube (n³)
1,073,773,281,587,201,000
Divisor count
16
σ(n) — sum of divisors
1,985,256
φ(n) — Euler's totient
378,048
Sum of prime factors
7,897

Primality

Prime factorization: 2 × 5 × 13 × 7877

Nearest primes: 1,023,991 (−19) · 1,024,021 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 13 · 26 · 65 · 130 · 7877 · 15754 · 39385 · 78770 · 102401 · 204802 · 512005 (half) · 1024010
Aliquot sum (sum of proper divisors): 961,246
Factor pairs (a × b = 1,024,010)
1 × 1024010
2 × 512005
5 × 204802
10 × 102401
13 × 78770
26 × 39385
65 × 15754
130 × 7877
First multiples
1,024,010 · 2,048,020 (double) · 3,072,030 · 4,096,040 · 5,120,050 · 6,144,060 · 7,168,070 · 8,192,080 · 9,216,090 · 10,240,100

Sums & aliquot sequence

As a sum of two squares: 77² + 1,009² = 317² + 961² = 323² + 959² = 667² + 761²
As consecutive integers: 256,001 + 256,002 + 256,003 + 256,004 204,800 + 204,801 + 204,802 + 204,803 + 204,804 78,764 + 78,765 + … + 78,776 51,191 + 51,192 + … + 51,210
Aliquot sequence: 1,024,010 961,246 733,202 387,514 193,760 332,416 452,474 298,342 199,322 99,664 93,466 55,034 39,334 20,714 10,360 17,000 25,120 — unresolved within range

Continued fraction of √n

√1,024,010 = [1011; (1, 14, 9, 1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one million twenty-four thousand ten
Ordinal
1024010th
Binary
11111010000000001010
Octal
3720012
Hexadecimal
0xFA00A
Base64
D6AK
One's complement
4,293,943,285 (32-bit)
Scientific notation
1.02401 × 10⁶
As a duration
1,024,010 s = 11 days, 20 hours, 26 minutes, 50 seconds
In other bases
ternary (3) 1221000200022
quaternary (4) 3322000022
quinary (5) 230232020
senary (6) 33540442
septenary (7) 11463311
nonary (9) 1830608
undecimal (11) 63a399
duodecimal (12) 414722
tridecimal (13) 29b130
tetradecimal (14) 1c9278
pentadecimal (15) 153625

As an angle

1,024,010° = 2,844 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆
Chinese
一百零二萬四千零一十
Chinese (financial)
壹佰零貳萬肆仟零壹拾
In other modern scripts
Eastern Arabic ١٠٢٤٠١٠ Devanagari १०२४०१० Bengali ১০২৪০১০ Tamil ௧௦௨௪௦௧௦ Thai ๑๐๒๔๐๑๐ Tibetan ༡༠༢༤༠༡༠ Khmer ១០២៤០១០ Lao ໑໐໒໔໐໑໐ Burmese ၁၀၂၄၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024010, here are decompositions:

  • 19 + 1023991 = 1024010
  • 37 + 1023973 = 1024010
  • 61 + 1023949 = 1024010
  • 67 + 1023943 = 1024010
  • 139 + 1023871 = 1024010
  • 241 + 1023769 = 1024010
  • 277 + 1023733 = 1024010
  • 313 + 1023697 = 1024010

Showing the first eight; more decompositions exist.

Hex color
#0FA00A
RGB(15, 160, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.10.

Address
0.15.160.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.160.10

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 4010 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4010-02-01 (DMMYYYY (Euro, single-digit day))
  • 4010-10-02 (MMDYYYY (US, single-digit day))
  • 4010-02-10 (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 1,024,010 and was likely granted around 1912.

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°.