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1,012,820

1,012,820 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.).

1,012,820 (one million twelve thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 89 × 569. Its proper divisors sum to 1,141,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7454.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
282,101
Square (n²)
1,025,804,352,400
Cube (n³)
1,038,955,164,197,768,000
Divisor count
24
σ(n) — sum of divisors
2,154,600
φ(n) — Euler's totient
399,872
Sum of prime factors
667

Primality

Prime factorization: 2 2 × 5 × 89 × 569

Nearest primes: 1,012,811 (−9) · 1,012,829 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 89 · 178 · 356 · 445 · 569 · 890 · 1138 · 1780 · 2276 · 2845 · 5690 · 11380 · 50641 · 101282 · 202564 · 253205 · 506410 (half) · 1012820
Aliquot sum (sum of proper divisors): 1,141,780
Factor pairs (a × b = 1,012,820)
1 × 1012820
2 × 506410
4 × 253205
5 × 202564
10 × 101282
20 × 50641
89 × 11380
178 × 5690
356 × 2845
445 × 2276
569 × 1780
890 × 1138
First multiples
1,012,820 · 2,025,640 (double) · 3,038,460 · 4,051,280 · 5,064,100 · 6,076,920 · 7,089,740 · 8,102,560 · 9,115,380 · 10,128,200

Sums & aliquot sequence

As a sum of two squares: 28² + 1,006² = 434² + 908² = 466² + 892² = 626² + 788²
As consecutive integers: 202,562 + 202,563 + 202,564 + 202,565 + 202,566 126,599 + 126,600 + … + 126,606 25,301 + 25,302 + … + 25,340 11,336 + 11,337 + … + 11,424
Aliquot sequence: 1,012,820 1,141,780 1,256,000 1,874,296 1,640,024 1,729,576 1,546,424 1,616,896 1,617,364 1,688,876 1,688,932 1,760,668 2,104,844 2,180,416 2,956,480 4,084,400 5,729,332 — unresolved within range

Continued fraction of √n

√1,012,820 = [1006; (2, 1, 1, 3, 4, 6, 1, 5, 1, 4, 1, 2, 1, 1, 2, 2, 1, 24, 2, 5, 25, 3, 2, 1, …)]

Representations

In words
one million twelve thousand eight hundred twenty
Ordinal
1012820th
Binary
11110111010001010100
Octal
3672124
Hexadecimal
0xF7454
Base64
D3RU
One's complement
4,293,954,475 (32-bit)
Scientific notation
1.01282 × 10⁶
As a duration
1,012,820 s = 11 days, 17 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 1220110022212
quaternary (4) 3313101110
quinary (5) 224402240
senary (6) 33412552
septenary (7) 11415554
nonary (9) 1813285
undecimal (11) 631a46
duodecimal (12) 40a158
tridecimal (13) 296003
tetradecimal (14) 1c5164
pentadecimal (15) 150165

As an angle

1,012,820° = 2,813 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬二千八百二十
Chinese (financial)
壹佰零壹萬貳仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٠١٢٨٢٠ Devanagari १०१२८२० Bengali ১০১২৮২০ Tamil ௧௦௧௨௮௨௦ Thai ๑๐๑๒๘๒๐ Tibetan ༡༠༡༢༨༢༠ Khmer ១០១២៨២០ Lao ໑໐໑໒໘໒໐ Burmese ၁၀၁၂၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012820, here are decompositions:

  • 31 + 1012789 = 1012820
  • 103 + 1012717 = 1012820
  • 157 + 1012663 = 1012820
  • 163 + 1012657 = 1012820
  • 223 + 1012597 = 1012820
  • 229 + 1012591 = 1012820
  • 271 + 1012549 = 1012820
  • 307 + 1012513 = 1012820

Showing the first eight; more decompositions exist.

Hex color
#0F7454
RGB(15, 116, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.116.84.

Address
0.15.116.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.116.84

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 2820 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2820-10-01 (MMDYYYY (US, single-digit day))
  • 2820-01-10 (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 1,012,820 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°.