Live analysis

1,001,200

1,001,200 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.).

1,001,200 (one million one thousand two hundred) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 2,503. Its proper divisors sum to 1,405,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46F0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,188 1,001,189 1,001,190 1,001,191 1,001,192 1,001,193 1,001,194 1,001,195 1,001,196 1,001,197 1,001,198 1,001,199 1,001,200 1,001,201 1,001,202 1,001,203 1,001,204 1,001,205 1,001,206 1,001,207 1,001,208 1,001,209 1,001,210 1,001,211 1,001,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 21,001
Square (n²): 1,002,401,440,000
Cube (n³): 1,003,604,321,728,000,000
Divisor count: 30
σ(n) — sum of divisors: 2,406,344
φ(n) — Euler's totient: 400,320
Sum of prime factors: 2,521

Primality

Prime factorization: 2 ⁴ × 5 ² × 2503

Nearest primes: 1,001,197 (−3) · 1,001,219 (+19)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 2503 · 5006 · 10012 · 12515 · 20024 · 25030 · 40048 · 50060 · 62575 · 100120 · 125150 · 200240 · 250300 · 500600 (half) · 1001200

Aliquot sum (sum of proper divisors): 1,405,144

Factor pairs (a × b = 1,001,200)

1 × 1001200

2 × 500600

4 × 250300

5 × 200240

8 × 125150

10 × 100120

16 × 62575

20 × 50060

25 × 40048

40 × 25030

50 × 20024

80 × 12515

100 × 10012

200 × 5006

400 × 2503

First multiples

1,001,200 · 2,002,400 (double) · 3,003,600 · 4,004,800 · 5,006,000 · 6,007,200 · 7,008,400 · 8,009,600 · 9,010,800 · 10,012,000

Sums & aliquot sequence

As consecutive integers: 200,238 + 200,239 + 200,240 + 200,241 + 200,242 40,036 + 40,037 + … + 40,060 31,272 + 31,273 + … + 31,303 6,178 + 6,179 + … + 6,337

Aliquot sequence: 1,001,200 → 1,405,144 → 1,492,856 → 1,323,784 → 1,836,296 → 2,504,824 → 2,862,776 → 3,532,624 → 3,311,866 → 1,804,742 → 933,058 → 695,204 → 530,524 → 397,900 → 508,292 → 392,524 → 363,448 — unresolved within range

Continued fraction of √n

√1,001,200 = [1000; (1, 1, 2, 221, 1, 21, 2, 24, 4, 1, 1, 1, 1, 16, 1, 1, 1, 4, 20, 1, 1, 1, 2, 2, …)]

Representations

In words: one million one thousand two hundred
Ordinal: 1001200th
Binary: 11110100011011110000
Octal: 3643360
Hexadecimal: 0xF46F0
Base64: D0bw
One's complement: 4,293,966,095 (32-bit)
Scientific notation: 1.0012 × 10⁶
As a duration: 1,001,200 s = 11 days, 14 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 1212212101111

quaternary (4) 3310123300

quinary (5) 224014300

senary (6) 33243104

septenary (7) 11336644

nonary (9) 1785344

undecimal (11) 624242

duodecimal (12) 403494

tridecimal (13) 290935

tetradecimal (14) 1c0c24

pentadecimal (15) 14b9ba

As an angle

1,001,200° = 2,781 × 360° + 40°

40° ≈ 0.698 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢
Chinese: 一百萬一千二百
Chinese (financial): 壹佰萬壹仟貳佰

In other modern scripts

Eastern Arabic ١٠٠١٢٠٠ Devanagari १००१२०० Bengali ১০০১২০০ Tamil ௧௦௦௧௨௦௦ Thai ๑๐๐๑๒๐๐ Tibetan ༡༠༠༡༢༠༠ Khmer ១០០១២០០ Lao ໑໐໐໑໒໐໐ Burmese ၁၀၀၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001200, here are decompositions:

3 + 1001197 = 1001200
23 + 1001177 = 1001200
41 + 1001159 = 1001200
47 + 1001153 = 1001200
107 + 1001093 = 1001200
113 + 1001087 = 1001200
131 + 1001069 = 1001200
173 + 1001027 = 1001200

Showing the first eight; more decompositions exist.

Hex color

#0F46F0

RGB(15, 70, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.240.

Address: 0.15.70.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.240

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 1,001,200 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 US1,001,200 on Google Patents ↗ Look up on USPTO ↗