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1,022,120

1,022,120 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.).

1,022,120 (one million twenty-two thousand one hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 23 × 101. Its proper divisors sum to 1,621,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF98A8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
212,201
Recamán's sequence
a(372,087) = 1,022,120
Square (n²)
1,044,729,294,400
Cube (n³)
1,067,838,706,392,128,000
Divisor count
64
σ(n) — sum of divisors
2,643,840
φ(n) — Euler's totient
352,000
Sum of prime factors
146

Primality

Prime factorization: 2 3 × 5 × 11 × 23 × 101

Nearest primes: 1,022,113 (−7) · 1,022,123 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 23 · 40 · 44 · 46 · 55 · 88 · 92 · 101 · 110 · 115 · 184 · 202 · 220 · 230 · 253 · 404 · 440 · 460 · 505 · 506 · 808 · 920 · 1010 · 1012 · 1111 · 1265 · 2020 · 2024 · 2222 · 2323 · 2530 · 4040 · 4444 · 4646 · 5060 · 5555 · 8888 · 9292 · 10120 · 11110 · 11615 · 18584 · 22220 · 23230 · 25553 · 44440 · 46460 · 51106 · 92920 · 102212 · 127765 · 204424 · 255530 · 511060 (half) · 1022120
Aliquot sum (sum of proper divisors): 1,621,720
Factor pairs (a × b = 1,022,120)
1 × 1022120
2 × 511060
4 × 255530
5 × 204424
8 × 127765
10 × 102212
11 × 92920
20 × 51106
22 × 46460
23 × 44440
40 × 25553
44 × 23230
46 × 22220
55 × 18584
88 × 11615
92 × 11110
101 × 10120
110 × 9292
115 × 8888
184 × 5555
202 × 5060
220 × 4646
230 × 4444
253 × 4040
404 × 2530
440 × 2323
460 × 2222
505 × 2024
506 × 2020
808 × 1265
920 × 1111
1010 × 1012
First multiples
1,022,120 · 2,044,240 (double) · 3,066,360 · 4,088,480 · 5,110,600 · 6,132,720 · 7,154,840 · 8,176,960 · 9,199,080 · 10,221,200

Sums & aliquot sequence

As consecutive integers: 204,422 + 204,423 + 204,424 + 204,425 + 204,426 92,915 + 92,916 + … + 92,925 63,875 + 63,876 + … + 63,890 44,429 + 44,430 + … + 44,451
Aliquot sequence: 1,022,120 1,621,720 2,027,240 2,616,760 3,271,040 4,990,960 7,508,240 10,109,680 17,243,480 23,468,200 38,893,880 48,617,440 66,241,640 83,203,360 113,364,956 85,023,724 63,767,800 — unresolved within range

Continued fraction of √n

√1,022,120 = [1010; (1, 2020)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million twenty-two thousand one hundred twenty
Ordinal
1022120th
Binary
11111001100010101000
Octal
3714250
Hexadecimal
0xF98A8
Base64
D5io
One's complement
4,293,945,175 (32-bit)
Scientific notation
1.02212 × 10⁶
As a duration
1,022,120 s = 11 days, 19 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 1220221002022
quaternary (4) 3321202220
quinary (5) 230201440
senary (6) 33524012
septenary (7) 11454641
nonary (9) 1827068
undecimal (11) 638a30
duodecimal (12) 413608
tridecimal (13) 29a308
tetradecimal (14) 1c86c8
pentadecimal (15) 152cb5

As an angle

1,022,120° = 2,839 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓎆𓎆
Chinese
一百零二萬二千一百二十
Chinese (financial)
壹佰零貳萬貳仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٢١٢٠ Devanagari १०२२१२० Bengali ১০২২১২০ Tamil ௧௦௨௨௧௨௦ Thai ๑๐๒๒๑๒๐ Tibetan ༡༠༢༢༡༢༠ Khmer ១០២២១២០ Lao ໑໐໒໒໑໒໐ Burmese ၁၀၂၂၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022120, here are decompositions:

  • 7 + 1022113 = 1022120
  • 37 + 1022083 = 1022120
  • 61 + 1022059 = 1022120
  • 67 + 1022053 = 1022120
  • 103 + 1022017 = 1022120
  • 109 + 1022011 = 1022120
  • 157 + 1021963 = 1022120
  • 223 + 1021897 = 1022120

Showing the first eight; more decompositions exist.

Hex color
#0F98A8
RGB(15, 152, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.168.

Address
0.15.152.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 2120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2120-02-01 (DMMYYYY (Euro, single-digit day))
  • 2120-10-02 (MMDYYYY (US, single-digit day))
  • 2120-02-10 (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 1,022,120 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°.