Live analysis

1,001,420

1,001,420 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.).

1,001,420 (one million one thousand four hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 23 × 311. Its proper divisors sum to 1,514,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,408 1,001,409 1,001,410 1,001,411 1,001,412 1,001,413 1,001,414 1,001,415 1,001,416 1,001,417 1,001,418 1,001,419 1,001,420 1,001,421 1,001,422 1,001,423 1,001,424 1,001,425 1,001,426 1,001,427 1,001,428 1,001,429 1,001,430 1,001,431 1,001,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 241,001
Square (n²): 1,002,842,016,400
Cube (n³): 1,004,266,052,063,288,000
Divisor count: 48
σ(n) — sum of divisors: 2,515,968
φ(n) — Euler's totient: 327,360
Sum of prime factors: 350

Primality

Prime factorization: 2 ² × 5 × 7 × 23 × 311

Nearest primes: 1,001,411 (−9) · 1,001,431 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 28 · 35 · 46 · 70 · 92 · 115 · 140 · 161 · 230 · 311 · 322 · 460 · 622 · 644 · 805 · 1244 · 1555 · 1610 · 2177 · 3110 · 3220 · 4354 · 6220 · 7153 · 8708 · 10885 · 14306 · 21770 · 28612 · 35765 · 43540 · 50071 · 71530 · 100142 · 143060 · 200284 · 250355 · 500710 (half) · 1001420

Aliquot sum (sum of proper divisors): 1,514,548

Factor pairs (a × b = 1,001,420)

1 × 1001420

2 × 500710

4 × 250355

5 × 200284

7 × 143060

10 × 100142

14 × 71530

20 × 50071

23 × 43540

28 × 35765

35 × 28612

46 × 21770

70 × 14306

92 × 10885

115 × 8708

140 × 7153

161 × 6220

230 × 4354

311 × 3220

322 × 3110

460 × 2177

622 × 1610

644 × 1555

805 × 1244

First multiples

1,001,420 · 2,002,840 (double) · 3,004,260 · 4,005,680 · 5,007,100 · 6,008,520 · 7,009,940 · 8,011,360 · 9,012,780 · 10,014,200

Sums & aliquot sequence

As consecutive integers: 200,282 + 200,283 + 200,284 + 200,285 + 200,286 143,057 + 143,058 + … + 143,063 125,174 + 125,175 + … + 125,181 43,529 + 43,530 + … + 43,551

Aliquot sequence: 1,001,420 → 1,514,548 → 1,514,604 → 3,126,676 → 3,126,732 → 5,211,444 → 8,935,500 → 22,933,428 → 40,202,316 → 86,504,628 → 149,093,196 → 275,621,556 → 459,369,484 → 459,369,540 → 1,167,203,772 → 2,204,718,964 → 2,204,719,020 — unresolved within range

Continued fraction of √n

√1,001,420 = [1000; (1, 2, 2, 4, 14, 2, 25, 1, 5, 1, 2, 1, 2, 1, 1, 1, 1, 1, 7, 2, 1, 4, 1, 6, …)]

Representations

In words: one million one thousand four hundred twenty
Ordinal: 1001420th
Binary: 11110100011111001100
Octal: 3643714
Hexadecimal: 0xF47CC
Base64: D0fM
One's complement: 4,293,965,875 (32-bit)
Scientific notation: 1.00142 × 10⁶
As a duration: 1,001,420 s = 11 days, 14 hours, 10 minutes, 20 seconds

In other bases

ternary (3) 1212212200122

quaternary (4) 3310133030

quinary (5) 224021140

senary (6) 33244112

septenary (7) 11340410

nonary (9) 1785618

undecimal (11) 624422

duodecimal (12) 403638

tridecimal (13) 290a74

tetradecimal (14) 1c0d40

pentadecimal (15) 14bab5

As an angle

1,001,420° = 2,781 × 360° + 260°

260° ≈ 4.538 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千四百二十
Chinese (financial): 壹佰萬壹仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٤٢٠ Devanagari १००१४२० Bengali ১০০১৪২০ Tamil ௧௦௦௧௪௨௦ Thai ๑๐๐๑๔๒๐ Tibetan ༡༠༠༡༤༢༠ Khmer ១០០១៤២០ Lao ໑໐໐໑໔໒໐ Burmese ၁၀၀၁၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001420, here are decompositions:

19 + 1001401 = 1001420
31 + 1001389 = 1001420
67 + 1001353 = 1001420
73 + 1001347 = 1001420
97 + 1001323 = 1001420
109 + 1001311 = 1001420
223 + 1001197 = 1001420
229 + 1001191 = 1001420

Showing the first eight; more decompositions exist.

Hex color

#0F47CC

RGB(15, 71, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.204.

Address: 0.15.71.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.204

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

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 1,001,420 and was likely granted around 1911.

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

Look up US1,001,420 on Google Patents ↗ Look up on USPTO ↗