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1,021,440

1,021,440 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.).

1,021,440 (one million twenty-one thousand four hundred forty) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁹ × 3 × 5 × 7 × 19. Its proper divisors sum to 2,906,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9600.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
441,201
Square (n²)
1,043,339,673,600
Cube (n³)
1,065,708,876,201,984,000
Divisor count
160
σ(n) — sum of divisors
3,928,320
φ(n) — Euler's totient
221,184
Sum of prime factors
52

Primality

Prime factorization: 2 9 × 3 × 5 × 7 × 19

Nearest primes: 1,021,429 (−11) · 1,021,441 (+1)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 19 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 38 · 40 · 42 · 48 · 56 · 57 · 60 · 64 · 70 · 76 · 80 · 84 · 95 · 96 · 105 · 112 · 114 · 120 · 128 · 133 · 140 · 152 · 160 · 168 · 190 · 192 · 210 · 224 · 228 · 240 · 256 · 266 · 280 · 285 · 304 · 320 · 336 · 380 · 384 · 399 · 420 · 448 · 456 · 480 · 512 · 532 · 560 · 570 · 608 · 640 · 665 · 672 · 760 · 768 · 798 · 840 · 896 · 912 · 960 · 1064 · 1120 · 1140 · 1216 · 1280 · 1330 · 1344 · 1520 · 1536 · 1596 · 1680 · 1792 · 1824 · 1920 · 1995 · 2128 · 2240 · 2280 · 2432 · 2560 · 2660 · 2688 · 3040 · 3192 · 3360 · 3584 · 3648 · 3840 · 3990 · 4256 · 4480 · 4560 · 4864 · 5320 · 5376 · 6080 · 6384 · 6720 · 7296 · 7680 · 7980 · 8512 · 8960 · 9120 · 9728 · 10640 · 10752 · 12160 · 12768 · 13440 · 14592 · 15960 · 17024 · 17920 · 18240 · 21280 · 24320 · 25536 · 26880 · 29184 · 31920 · 34048 · 36480 · 42560 · 48640 · 51072 · 53760 · 63840 · 68096 · 72960 · 85120 · 102144 · 127680 · 145920 · 170240 · 204288 · 255360 · 340480 · 510720 (half) · 1021440
Aliquot sum (sum of proper divisors): 2,906,880
Factor pairs (a × b = 1,021,440)
1 × 1021440
2 × 510720
3 × 340480
4 × 255360
5 × 204288
6 × 170240
7 × 145920
8 × 127680
10 × 102144
12 × 85120
14 × 72960
15 × 68096
16 × 63840
19 × 53760
20 × 51072
21 × 48640
24 × 42560
28 × 36480
30 × 34048
32 × 31920
35 × 29184
38 × 26880
40 × 25536
42 × 24320
48 × 21280
56 × 18240
57 × 17920
60 × 17024
64 × 15960
70 × 14592
76 × 13440
80 × 12768
84 × 12160
95 × 10752
96 × 10640
105 × 9728
112 × 9120
114 × 8960
120 × 8512
128 × 7980
133 × 7680
140 × 7296
152 × 6720
160 × 6384
168 × 6080
190 × 5376
192 × 5320
210 × 4864
224 × 4560
228 × 4480
240 × 4256
256 × 3990
266 × 3840
280 × 3648
285 × 3584
304 × 3360
320 × 3192
336 × 3040
380 × 2688
384 × 2660
399 × 2560
420 × 2432
448 × 2280
456 × 2240
480 × 2128
512 × 1995
532 × 1920
560 × 1824
570 × 1792
608 × 1680
640 × 1596
665 × 1536
672 × 1520
760 × 1344
768 × 1330
798 × 1280
840 × 1216
896 × 1140
912 × 1120
960 × 1064
First multiples
1,021,440 · 2,042,880 (double) · 3,064,320 · 4,085,760 · 5,107,200 · 6,128,640 · 7,150,080 · 8,171,520 · 9,192,960 · 10,214,400

Sums & aliquot sequence

As consecutive integers: 340,479 + 340,480 + 340,481 204,286 + 204,287 + 204,288 + 204,289 + 204,290 145,917 + 145,918 + … + 145,923 68,089 + 68,090 + … + 68,103
Aliquot sequence: 1,021,440 2,906,880 6,389,232 10,116,408 15,174,672 24,026,688 56,806,272 112,279,128 190,011,672 326,416,968 557,629,182 795,793,122 946,327,518 1,104,048,810 1,766,478,330 3,096,536,814 4,734,233,874 — unresolved within range

Continued fraction of √n

√1,021,440 = [1010; (1, 1, 1, 30, 1, 10, 1, 125, 2, 2, 2, 31, 6, 505, 6, 31, 2, 2, 2, 125, 1, 10, 1, 30, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand four hundred forty
Ordinal
1021440th
Binary
11111001011000000000
Octal
3713000
Hexadecimal
0xF9600
Base64
D5YA
One's complement
4,293,945,855 (32-bit)
Scientific notation
1.02144 × 10⁶
As a duration
1,021,440 s = 11 days, 19 hours, 44 minutes
In other bases
ternary (3) 1220220011010
quaternary (4) 3321120000
quinary (5) 230141230
senary (6) 33520520
septenary (7) 11452650
nonary (9) 1826133
undecimal (11) 638472
duodecimal (12) 413140
tridecimal (13) 299c04
tetradecimal (14) 1c8360
pentadecimal (15) 1529b0

As an angle

1,021,440° = 2,837 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬一千四百四十
Chinese (financial)
壹佰零貳萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠٢١٤٤٠ Devanagari १०२१४४० Bengali ১০২১৪৪০ Tamil ௧௦௨௧௪௪௦ Thai ๑๐๒๑๔๔๐ Tibetan ༡༠༢༡༤༤༠ Khmer ១០២១៤៤០ Lao ໑໐໒໑໔໔໐ Burmese ၁၀၂၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021440, here are decompositions:

  • 11 + 1021429 = 1021440
  • 23 + 1021417 = 1021440
  • 37 + 1021403 = 1021440
  • 53 + 1021387 = 1021440
  • 59 + 1021381 = 1021440
  • 67 + 1021373 = 1021440
  • 71 + 1021369 = 1021440
  • 73 + 1021367 = 1021440

Showing the first eight; more decompositions exist.

Hex color
#0F9600
RGB(15, 150, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.150.0.

Address
0.15.150.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.150.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 1440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1440-02-01 (DMMYYYY (Euro, single-digit day))
  • 1440-10-02 (MMDYYYY (US, single-digit day))
  • 1440-02-10 (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 1,021,440 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1021440 first appears in π at position 829,211 of the decimal expansion (the 829,211ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.