Live analysis

1,024,100

1,024,100 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.).

1,024,100 (one million twenty-four thousand one hundred) is an even 7-digit number. It is a composite number with 108 divisors, and factors as 2² × 5² × 7² × 11 × 19. Its proper divisors sum to 1,944,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA064.

Abundant Number Cube-Free Gapful Number Odious Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,024,088 1,024,089 1,024,090 1,024,091 1,024,092 1,024,093 1,024,094 1,024,095 1,024,096 1,024,097 1,024,098 1,024,099 1,024,100 1,024,101 1,024,102 1,024,103 1,024,104 1,024,105 1,024,106 1,024,107 1,024,108 1,024,109 1,024,110 1,024,111 1,024,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 14,201
Square (n²): 1,048,780,810,000
Cube (n³): 1,074,056,427,521,000,000
Divisor count: 108
σ(n) — sum of divisors: 2,968,560
φ(n) — Euler's totient: 302,400
Sum of prime factors: 58

Primality

Prime factorization: 2 ² × 5 ² × 7 ² × 11 × 19

Nearest primes: 1,024,099 (−1) · 1,024,103 (+3)

Divisors & multiples

All divisors (108)

1 · 2 · 4 · 5 · 7 · 10 · 11 · 14 · 19 · 20 · 22 · 25 · 28 · 35 · 38 · 44 · 49 · 50 · 55 · 70 · 76 · 77 · 95 · 98 · 100 · 110 · 133 · 140 · 154 · 175 · 190 · 196 · 209 · 220 · 245 · 266 · 275 · 308 · 350 · 380 · 385 · 418 · 475 · 490 · 532 · 539 · 550 · 665 · 700 · 770 · 836 · 931 · 950 · 980 · 1045 · 1078 · 1100 · 1225 · 1330 · 1463 · 1540 · 1862 · 1900 · 1925 · 2090 · 2156 · 2450 · 2660 · 2695 · 2926 · 3325 · 3724 · 3850 · 4180 · 4655 · 4900 · 5225 · 5390 · 5852 · 6650 · 7315 · 7700 · 9310 · 10241 · 10450 · 10780 · 13300 · 13475 · 14630 · 18620 · 20482 · 20900 · 23275 · 26950 · 29260 · 36575 · 40964 · 46550 · 51205 · 53900 · 73150 · 93100 · 102410 · 146300 · 204820 · 256025 · 512050 (half) · 1024100

Aliquot sum (sum of proper divisors): 1,944,460

Factor pairs (a × b = 1,024,100)

1 × 1024100

2 × 512050

4 × 256025

5 × 204820

7 × 146300

10 × 102410

11 × 93100

14 × 73150

19 × 53900

20 × 51205

22 × 46550

25 × 40964

28 × 36575

35 × 29260

38 × 26950

44 × 23275

49 × 20900

50 × 20482

55 × 18620

70 × 14630

76 × 13475

77 × 13300

95 × 10780

98 × 10450

100 × 10241

110 × 9310

133 × 7700

140 × 7315

154 × 6650

175 × 5852

190 × 5390

196 × 5225

209 × 4900

220 × 4655

245 × 4180

266 × 3850

275 × 3724

308 × 3325

350 × 2926

380 × 2695

385 × 2660

418 × 2450

475 × 2156

490 × 2090

532 × 1925

539 × 1900

550 × 1862

665 × 1540

700 × 1463

770 × 1330

836 × 1225

931 × 1100

950 × 1078

980 × 1045

First multiples

1,024,100 · 2,048,200 (double) · 3,072,300 · 4,096,400 · 5,120,500 · 6,144,600 · 7,168,700 · 8,192,800 · 9,216,900 · 10,241,000

Sums & aliquot sequence

As consecutive integers: 204,818 + 204,819 + 204,820 + 204,821 + 204,822 146,297 + 146,298 + … + 146,303 128,009 + 128,010 + … + 128,016 93,095 + 93,096 + … + 93,105

Aliquot sequence: 1,024,100 → 1,944,460 → 3,377,780 → 5,089,420 → 7,125,524 → 7,217,644 → 7,978,516 → 9,971,948 → 9,972,004 → 9,972,060 → 21,939,876 → 43,069,404 → 72,335,396 → 77,325,724 → 96,765,956 → 99,658,300 → 147,496,020 — unresolved within range

Continued fraction of √n

√1,024,100 = [1011; (1, 44, 1, 2022)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand one hundred
Ordinal: 1024100th
Binary: 11111010000001100100
Octal: 3720144
Hexadecimal: 0xFA064
Base64: D6Bk
One's complement: 4,293,943,195 (32-bit)
Scientific notation: 1.0241 × 10⁶
As a duration: 1,024,100 s = 11 days, 20 hours, 28 minutes, 20 seconds

In other bases

ternary (3) 1221000210122

quaternary (4) 3322001210

quinary (5) 230232400

senary (6) 33541112

septenary (7) 11463500

nonary (9) 1830718

undecimal (11) 63a470

duodecimal (12) 414798

tridecimal (13) 29b19c

tetradecimal (14) 1c9300

pentadecimal (15) 153685

As an angle

1,024,100° = 2,844 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢
Chinese: 一百零二萬四千一百
Chinese (financial): 壹佰零貳萬肆仟壹佰

In other modern scripts

Eastern Arabic ١٠٢٤١٠٠ Devanagari १०२४१०० Bengali ১০২৪১০০ Tamil ௧௦௨௪௧௦௦ Thai ๑๐๒๔๑๐๐ Tibetan ༡༠༢༤༡༠༠ Khmer ១០២៤១០០ Lao ໑໐໒໔໑໐໐ Burmese ၁၀၂၄၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024100, here are decompositions:

13 + 1024087 = 1024100
79 + 1024021 = 1024100
109 + 1023991 = 1024100
127 + 1023973 = 1024100
151 + 1023949 = 1024100
157 + 1023943 = 1024100
229 + 1023871 = 1024100
331 + 1023769 = 1024100

Showing the first eight; more decompositions exist.

Hex color

#0FA064

RGB(15, 160, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.100.

Address: 0.15.160.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 4100 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4100-02-01 (DMMYYYY (Euro, single-digit day))
4100-10-02 (MMDYYYY (US, single-digit day))
4100-02-10 (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 1,024,100 and was likely granted around 1912.

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

Look up US1,024,100 on Google Patents ↗ Look up on USPTO ↗