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1,010,420

1,010,420 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.).

1,010,420 (one million ten thousand four hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 19 × 2,659. Its proper divisors sum to 1,223,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6AF4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
240,101
Square (n²)
1,020,948,576,400
Cube (n³)
1,031,586,860,566,088,000
Divisor count
24
σ(n) — sum of divisors
2,234,400
φ(n) — Euler's totient
382,752
Sum of prime factors
2,687

Primality

Prime factorization: 2 2 × 5 × 19 × 2659

Nearest primes: 1,010,419 (−1) · 1,010,423 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 19 · 20 · 38 · 76 · 95 · 190 · 380 · 2659 · 5318 · 10636 · 13295 · 26590 · 50521 · 53180 · 101042 · 202084 · 252605 · 505210 (half) · 1010420
Aliquot sum (sum of proper divisors): 1,223,980
Factor pairs (a × b = 1,010,420)
1 × 1010420
2 × 505210
4 × 252605
5 × 202084
10 × 101042
19 × 53180
20 × 50521
38 × 26590
76 × 13295
95 × 10636
190 × 5318
380 × 2659
First multiples
1,010,420 · 2,020,840 (double) · 3,031,260 · 4,041,680 · 5,052,100 · 6,062,520 · 7,072,940 · 8,083,360 · 9,093,780 · 10,104,200

Sums & aliquot sequence

As consecutive integers: 202,082 + 202,083 + 202,084 + 202,085 + 202,086 126,299 + 126,300 + … + 126,306 53,171 + 53,172 + … + 53,189 25,241 + 25,242 + … + 25,280
Aliquot sequence: 1,010,420 1,223,980 1,482,500 1,764,898 882,452 661,846 383,234 198,346 99,176 147,064 138,056 120,814 66,746 37,798 18,902 11,674 7,226 — unresolved within range

Continued fraction of √n

√1,010,420 = [1005; (5, 11, 4, 2, 25, 402, 25, 2, 4, 11, 5, 2010)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand four hundred twenty
Ordinal
1010420th
Binary
11110110101011110100
Octal
3665364
Hexadecimal
0xF6AF4
Base64
D2r0
One's complement
4,293,956,875 (32-bit)
Scientific notation
1.01042 × 10⁶
As a duration
1,010,420 s = 11 days, 16 hours, 40 minutes, 20 seconds
In other bases
ternary (3) 1220100000222
quaternary (4) 3312223310
quinary (5) 224313140
senary (6) 33353512
septenary (7) 11405555
nonary (9) 1810028
undecimal (11) 630164
duodecimal (12) 408898
tridecimal (13) 294ba8
tetradecimal (14) 1c432c
pentadecimal (15) 14e5b5

As an angle

1,010,420° = 2,806 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬零四百二十
Chinese (financial)
壹佰零壹萬零肆佰貳拾
In other modern scripts
Eastern Arabic ١٠١٠٤٢٠ Devanagari १०१०४२० Bengali ১০১০৪২০ Tamil ௧௦௧௦௪௨௦ Thai ๑๐๑๐๔๒๐ Tibetan ༡༠༡༠༤༢༠ Khmer ១០១០៤២០ Lao ໑໐໑໐໔໒໐ Burmese ၁၀၁၀၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010420, here are decompositions:

  • 13 + 1010407 = 1010420
  • 67 + 1010353 = 1010420
  • 157 + 1010263 = 1010420
  • 241 + 1010179 = 1010420
  • 277 + 1010143 = 1010420
  • 337 + 1010083 = 1010420
  • 457 + 1009963 = 1010420
  • 547 + 1009873 = 1010420

Showing the first eight; more decompositions exist.

Hex color
#0F6AF4
RGB(15, 106, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.244.

Address
0.15.106.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.244

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0420-10-01 (MMDYYYY (US, single-digit day))
  • 0420-01-10 (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 1,010,420 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°.