number.wiki
Live analysis

1,024,380

1,024,380 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.).

1,024,380 (one million twenty-four thousand three hundred eighty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 7 × 271. Its proper divisors sum to 2,631,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA17C.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
834,201
Square (n²)
1,049,354,384,400
Cube (n³)
1,074,937,644,291,672,000
Divisor count
96
σ(n) — sum of divisors
3,655,680
φ(n) — Euler's totient
233,280
Sum of prime factors
296

Primality

Prime factorization: 2 2 × 3 3 × 5 × 7 × 271

Nearest primes: 1,024,379 (−1) · 1,024,391 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 27 · 28 · 30 · 35 · 36 · 42 · 45 · 54 · 60 · 63 · 70 · 84 · 90 · 105 · 108 · 126 · 135 · 140 · 180 · 189 · 210 · 252 · 270 · 271 · 315 · 378 · 420 · 540 · 542 · 630 · 756 · 813 · 945 · 1084 · 1260 · 1355 · 1626 · 1890 · 1897 · 2439 · 2710 · 3252 · 3780 · 3794 · 4065 · 4878 · 5420 · 5691 · 7317 · 7588 · 8130 · 9485 · 9756 · 11382 · 12195 · 14634 · 16260 · 17073 · 18970 · 22764 · 24390 · 28455 · 29268 · 34146 · 36585 · 37940 · 48780 · 51219 · 56910 · 68292 · 73170 · 85365 · 102438 · 113820 · 146340 · 170730 · 204876 · 256095 · 341460 · 512190 (half) · 1024380
Aliquot sum (sum of proper divisors): 2,631,300
Factor pairs (a × b = 1,024,380)
1 × 1024380
2 × 512190
3 × 341460
4 × 256095
5 × 204876
6 × 170730
7 × 146340
9 × 113820
10 × 102438
12 × 85365
14 × 73170
15 × 68292
18 × 56910
20 × 51219
21 × 48780
27 × 37940
28 × 36585
30 × 34146
35 × 29268
36 × 28455
42 × 24390
45 × 22764
54 × 18970
60 × 17073
63 × 16260
70 × 14634
84 × 12195
90 × 11382
105 × 9756
108 × 9485
126 × 8130
135 × 7588
140 × 7317
180 × 5691
189 × 5420
210 × 4878
252 × 4065
270 × 3794
271 × 3780
315 × 3252
378 × 2710
420 × 2439
540 × 1897
542 × 1890
630 × 1626
756 × 1355
813 × 1260
945 × 1084
First multiples
1,024,380 · 2,048,760 (double) · 3,073,140 · 4,097,520 · 5,121,900 · 6,146,280 · 7,170,660 · 8,195,040 · 9,219,420 · 10,243,800

Sums & aliquot sequence

As consecutive integers: 341,459 + 341,460 + 341,461 204,874 + 204,875 + 204,876 + 204,877 + 204,878 146,337 + 146,338 + … + 146,343 128,044 + 128,045 + … + 128,051
Aliquot sequence: 1,024,380 2,631,300 6,274,380 13,804,980 30,372,300 81,287,220 178,833,228 299,437,236 613,806,732 1,360,529,268 2,275,729,932 3,979,568,628 7,531,002,444 12,551,670,964 — keeps growing

Continued fraction of √n

√1,024,380 = [1012; (8, 1, 1, 2, 1, 3, 9, 9, 1, 3, 3, 1, 1, 3, 1, 55, 2, 4, 3, 1, 1, 2, 3, 2, …)]

Representations

In words
one million twenty-four thousand three hundred eighty
Ordinal
1024380th
Binary
11111010000101111100
Octal
3720574
Hexadecimal
0xFA17C
Base64
D6F8
One's complement
4,293,942,915 (32-bit)
Scientific notation
1.02438 × 10⁶
As a duration
1,024,380 s = 11 days, 20 hours, 33 minutes
In other bases
ternary (3) 1221001012000
quaternary (4) 3322011330
quinary (5) 230240010
senary (6) 33542300
septenary (7) 11464350
nonary (9) 1831160
undecimal (11) 63a6a5
duodecimal (12) 414990
tridecimal (13) 29b356
tetradecimal (14) 1c9460
pentadecimal (15) 1537c0

As an angle

1,024,380° = 2,845 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零二萬四千三百八十
Chinese (financial)
壹佰零貳萬肆仟參佰捌拾
In other modern scripts
Eastern Arabic ١٠٢٤٣٨٠ Devanagari १०२४३८० Bengali ১০২৪৩৮০ Tamil ௧௦௨௪௩௮௦ Thai ๑๐๒๔๓๘๐ Tibetan ༡༠༢༤༣༨༠ Khmer ១០២៤៣៨០ Lao ໑໐໒໔໓໘໐ Burmese ၁၀၂၄၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024380, here are decompositions:

  • 23 + 1024357 = 1024380
  • 41 + 1024339 = 1024380
  • 43 + 1024337 = 1024380
  • 53 + 1024327 = 1024380
  • 59 + 1024321 = 1024380
  • 61 + 1024319 = 1024380
  • 67 + 1024313 = 1024380
  • 73 + 1024307 = 1024380

Showing the first eight; more decompositions exist.

Hex color
#0FA17C
RGB(15, 161, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.124.

Address
0.15.161.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.161.124

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 4380 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4380-02-01 (DMMYYYY (Euro, single-digit day))
  • 4380-10-02 (MMDYYYY (US, single-digit day))
  • 4380-02-10 (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 1,024,380 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°.