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1,024,632

1,024,632 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.).

1,024,632 (one million twenty-four thousand six hundred thirty-two) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 7 × 19 × 107. Its proper divisors sum to 2,344,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA278.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number 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
2,364,201
Square (n²)
1,049,870,735,424
Cube (n³)
1,075,731,151,378,963,968
Divisor count
96
σ(n) — sum of divisors
3,369,600
φ(n) — Euler's totient
274,752
Sum of prime factors
145

Primality

Prime factorization: 2 3 × 3 2 × 7 × 19 × 107

Nearest primes: 1,024,609 (−23) · 1,024,633 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 19 · 21 · 24 · 28 · 36 · 38 · 42 · 56 · 57 · 63 · 72 · 76 · 84 · 107 · 114 · 126 · 133 · 152 · 168 · 171 · 214 · 228 · 252 · 266 · 321 · 342 · 399 · 428 · 456 · 504 · 532 · 642 · 684 · 749 · 798 · 856 · 963 · 1064 · 1197 · 1284 · 1368 · 1498 · 1596 · 1926 · 2033 · 2247 · 2394 · 2568 · 2996 · 3192 · 3852 · 4066 · 4494 · 4788 · 5992 · 6099 · 6741 · 7704 · 8132 · 8988 · 9576 · 12198 · 13482 · 14231 · 16264 · 17976 · 18297 · 24396 · 26964 · 28462 · 36594 · 42693 · 48792 · 53928 · 56924 · 73188 · 85386 · 113848 · 128079 · 146376 · 170772 · 256158 · 341544 · 512316 (half) · 1024632
Aliquot sum (sum of proper divisors): 2,344,968
Factor pairs (a × b = 1,024,632)
1 × 1024632
2 × 512316
3 × 341544
4 × 256158
6 × 170772
7 × 146376
8 × 128079
9 × 113848
12 × 85386
14 × 73188
18 × 56924
19 × 53928
21 × 48792
24 × 42693
28 × 36594
36 × 28462
38 × 26964
42 × 24396
56 × 18297
57 × 17976
63 × 16264
72 × 14231
76 × 13482
84 × 12198
107 × 9576
114 × 8988
126 × 8132
133 × 7704
152 × 6741
168 × 6099
171 × 5992
214 × 4788
228 × 4494
252 × 4066
266 × 3852
321 × 3192
342 × 2996
399 × 2568
428 × 2394
456 × 2247
504 × 2033
532 × 1926
642 × 1596
684 × 1498
749 × 1368
798 × 1284
856 × 1197
963 × 1064
First multiples
1,024,632 · 2,049,264 (double) · 3,073,896 · 4,098,528 · 5,123,160 · 6,147,792 · 7,172,424 · 8,197,056 · 9,221,688 · 10,246,320

Sums & aliquot sequence

As consecutive integers: 341,543 + 341,544 + 341,545 146,373 + 146,374 + … + 146,379 113,844 + 113,845 + … + 113,852 64,032 + 64,033 + … + 64,047
Aliquot sequence: 1,024,632 2,344,968 4,006,182 4,006,194 4,006,206 4,896,594 5,773,806 6,736,146 7,837,614 10,498,386 10,498,398 11,176,098 11,176,110 22,416,210 37,361,070 65,495,970 104,793,786 — unresolved within range

Continued fraction of √n

√1,024,632 = [1012; (4, 6, 1, 3, 11, 1, 6, 2, 1, 24, 3, 4, 1, 3, 1, 1, 1, 1, 1, 1, 2, 16, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one million twenty-four thousand six hundred thirty-two
Ordinal
1024632nd
Binary
11111010001001111000
Octal
3721170
Hexadecimal
0xFA278
Base64
D6J4
One's complement
4,293,942,663 (32-bit)
Scientific notation
1.024632 × 10⁶
As a duration
1,024,632 s = 11 days, 20 hours, 37 minutes, 12 seconds
In other bases
ternary (3) 1221001112100
quaternary (4) 3322021320
quinary (5) 230242012
senary (6) 33543400
septenary (7) 11465160
nonary (9) 1831470
undecimal (11) 63a904
duodecimal (12) 414b60
tridecimal (13) 29b4bb
tetradecimal (14) 1c95a0
pentadecimal (15) 1538dc

As an angle

1,024,632° = 2,846 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬四千六百三十二
Chinese (financial)
壹佰零貳萬肆仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٠٢٤٦٣٢ Devanagari १०२४६३२ Bengali ১০২৪৬৩২ Tamil ௧௦௨௪௬௩௨ Thai ๑๐๒๔๖๓๒ Tibetan ༡༠༢༤༦༣༢ Khmer ១០២៤៦៣២ Lao ໑໐໒໔໖໓໒ Burmese ၁၀၂၄၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024632, here are decompositions:

  • 23 + 1024609 = 1024632
  • 41 + 1024591 = 1024632
  • 43 + 1024589 = 1024632
  • 53 + 1024579 = 1024632
  • 73 + 1024559 = 1024632
  • 109 + 1024523 = 1024632
  • 151 + 1024481 = 1024632
  • 199 + 1024433 = 1024632

Showing the first eight; more decompositions exist.

Hex color
#0FA278
RGB(15, 162, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.162.120.

Address
0.15.162.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.162.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4632 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4632-02-01 (DMMYYYY (Euro, single-digit day))
  • 4632-10-02 (MMDYYYY (US, single-digit day))
  • 4632-02-10 (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 1,024,632 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°.