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1,022,400

1,022,400 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.).

1,022,400 (one million twenty-two thousand four hundred) is an even 7-digit number. It is a composite number with 126 divisors, and factors as 2⁶ × 3² × 5² × 71. Its proper divisors sum to 2,662,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF99C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
42,201
Recamán's sequence
a(371,527) = 1,022,400
Square (n²)
1,045,301,760,000
Cube (n³)
1,068,716,519,424,000,000
Divisor count
126
σ(n) — sum of divisors
3,685,032
φ(n) — Euler's totient
268,800
Sum of prime factors
99

Primality

Prime factorization: 2 6 × 3 2 × 5 2 × 71

Nearest primes: 1,022,389 (−11) · 1,022,429 (+29)

Divisors & multiples

All divisors (126)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 64 · 71 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 142 · 144 · 150 · 160 · 180 · 192 · 200 · 213 · 225 · 240 · 284 · 288 · 300 · 320 · 355 · 360 · 400 · 426 · 450 · 480 · 568 · 576 · 600 · 639 · 710 · 720 · 800 · 852 · 900 · 960 · 1065 · 1136 · 1200 · 1278 · 1420 · 1440 · 1600 · 1704 · 1775 · 1800 · 2130 · 2272 · 2400 · 2556 · 2840 · 2880 · 3195 · 3408 · 3550 · 3600 · 4260 · 4544 · 4800 · 5112 · 5325 · 5680 · 6390 · 6816 · 7100 · 7200 · 8520 · 10224 · 10650 · 11360 · 12780 · 13632 · 14200 · 14400 · 15975 · 17040 · 20448 · 21300 · 22720 · 25560 · 28400 · 31950 · 34080 · 40896 · 42600 · 51120 · 56800 · 63900 · 68160 · 85200 · 102240 · 113600 · 127800 · 170400 · 204480 · 255600 · 340800 · 511200 (half) · 1022400
Aliquot sum (sum of proper divisors): 2,662,632
Factor pairs (a × b = 1,022,400)
1 × 1022400
2 × 511200
3 × 340800
4 × 255600
5 × 204480
6 × 170400
8 × 127800
9 × 113600
10 × 102240
12 × 85200
15 × 68160
16 × 63900
18 × 56800
20 × 51120
24 × 42600
25 × 40896
30 × 34080
32 × 31950
36 × 28400
40 × 25560
45 × 22720
48 × 21300
50 × 20448
60 × 17040
64 × 15975
71 × 14400
72 × 14200
75 × 13632
80 × 12780
90 × 11360
96 × 10650
100 × 10224
120 × 8520
142 × 7200
144 × 7100
150 × 6816
160 × 6390
180 × 5680
192 × 5325
200 × 5112
213 × 4800
225 × 4544
240 × 4260
284 × 3600
288 × 3550
300 × 3408
320 × 3195
355 × 2880
360 × 2840
400 × 2556
426 × 2400
450 × 2272
480 × 2130
568 × 1800
576 × 1775
600 × 1704
639 × 1600
710 × 1440
720 × 1420
800 × 1278
852 × 1200
900 × 1136
960 × 1065
First multiples
1,022,400 · 2,044,800 (double) · 3,067,200 · 4,089,600 · 5,112,000 · 6,134,400 · 7,156,800 · 8,179,200 · 9,201,600 · 10,224,000

Sums & aliquot sequence

As consecutive integers: 340,799 + 340,800 + 340,801 204,478 + 204,479 + 204,480 + 204,481 + 204,482 113,596 + 113,597 + … + 113,604 68,153 + 68,154 + … + 68,167
Aliquot sequence: 1,022,400 2,662,632 5,875,128 12,311,352 22,314,888 38,121,462 49,730,058 76,569,462 105,101,874 131,054,046 142,450,338 142,812,222 183,615,810 377,915,070 641,342,274 642,555,006 645,178,242 — unresolved within range

Continued fraction of √n

√1,022,400 = [1011; (7, 4, 28, 4, 7, 2022)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million twenty-two thousand four hundred
Ordinal
1022400th
Binary
11111001100111000000
Octal
3714700
Hexadecimal
0xF99C0
Base64
D5nA
One's complement
4,293,944,895 (32-bit)
Scientific notation
1.0224 × 10⁶
As a duration
1,022,400 s = 11 days, 20 hours
In other bases
ternary (3) 1220221110200
quaternary (4) 3321213000
quinary (5) 230204100
senary (6) 33525200
septenary (7) 11455521
nonary (9) 1827420
undecimal (11) 639165
duodecimal (12) 413800
tridecimal (13) 29a492
tetradecimal (14) 1c8848
pentadecimal (15) 152e00

As an angle

1,022,400° = 2,840 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Chinese
一百零二萬二千四百
Chinese (financial)
壹佰零貳萬貳仟肆佰
In other modern scripts
Eastern Arabic ١٠٢٢٤٠٠ Devanagari १०२२४०० Bengali ১০২২৪০০ Tamil ௧௦௨௨௪௦௦ Thai ๑๐๒๒๔๐๐ Tibetan ༡༠༢༢༤༠༠ Khmer ១០២២៤០០ Lao ໑໐໒໒໔໐໐ Burmese ၁၀၂၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022400, here are decompositions:

  • 11 + 1022389 = 1022400
  • 13 + 1022387 = 1022400
  • 17 + 1022383 = 1022400
  • 19 + 1022381 = 1022400
  • 23 + 1022377 = 1022400
  • 59 + 1022341 = 1022400
  • 97 + 1022303 = 1022400
  • 109 + 1022291 = 1022400

Showing the first eight; more decompositions exist.

Hex color
#0F99C0
RGB(15, 153, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.153.192.

Address
0.15.153.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.153.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 2400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2400-02-01 (DMMYYYY (Euro, single-digit day))
  • 2400-10-02 (MMDYYYY (US, single-digit day))
  • 2400-02-10 (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 1,022,400 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°.