Live analysis

1,012,200

1,012,200 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.).

1,012,200 (one million twelve thousand two hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 7 × 241. Its proper divisors sum to 2,588,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF71E8.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,188 1,012,189 1,012,190 1,012,191 1,012,192 1,012,193 1,012,194 1,012,195 1,012,196 1,012,197 1,012,198 1,012,199 1,012,200 1,012,201 1,012,202 1,012,203 1,012,204 1,012,205 1,012,206 1,012,207 1,012,208 1,012,209 1,012,210 1,012,211 1,012,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 22,101
Square (n²): 1,024,548,840,000
Cube (n³): 1,037,048,335,848,000,000
Divisor count: 96
σ(n) — sum of divisors: 3,600,960
φ(n) — Euler's totient: 230,400
Sum of prime factors: 267

Primality

Prime factorization: 2 ³ × 3 × 5 ² × 7 × 241

Nearest primes: 1,012,189 (−11) · 1,012,201 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 140 · 150 · 168 · 175 · 200 · 210 · 241 · 280 · 300 · 350 · 420 · 482 · 525 · 600 · 700 · 723 · 840 · 964 · 1050 · 1205 · 1400 · 1446 · 1687 · 1928 · 2100 · 2410 · 2892 · 3374 · 3615 · 4200 · 4820 · 5061 · 5784 · 6025 · 6748 · 7230 · 8435 · 9640 · 10122 · 12050 · 13496 · 14460 · 16870 · 18075 · 20244 · 24100 · 25305 · 28920 · 33740 · 36150 · 40488 · 42175 · 48200 · 50610 · 67480 · 72300 · 84350 · 101220 · 126525 · 144600 · 168700 · 202440 · 253050 · 337400 · 506100 (half) · 1012200

Aliquot sum (sum of proper divisors): 2,588,760

Factor pairs (a × b = 1,012,200)

1 × 1012200

2 × 506100

3 × 337400

4 × 253050

5 × 202440

6 × 168700

7 × 144600

8 × 126525

10 × 101220

12 × 84350

14 × 72300

15 × 67480

20 × 50610

21 × 48200

24 × 42175

25 × 40488

28 × 36150

30 × 33740

35 × 28920

40 × 25305

42 × 24100

50 × 20244

56 × 18075

60 × 16870

70 × 14460

75 × 13496

84 × 12050

100 × 10122

105 × 9640

120 × 8435

140 × 7230

150 × 6748

168 × 6025

175 × 5784

200 × 5061

210 × 4820

241 × 4200

280 × 3615

300 × 3374

350 × 2892

420 × 2410

482 × 2100

525 × 1928

600 × 1687

700 × 1446

723 × 1400

840 × 1205

964 × 1050

First multiples

1,012,200 · 2,024,400 (double) · 3,036,600 · 4,048,800 · 5,061,000 · 6,073,200 · 7,085,400 · 8,097,600 · 9,109,800 · 10,122,000

Sums & aliquot sequence

As consecutive integers: 337,399 + 337,400 + 337,401 202,438 + 202,439 + 202,440 + 202,441 + 202,442 144,597 + 144,598 + … + 144,603 67,473 + 67,474 + … + 67,487

Aliquot sequence: 1,012,200 → 2,588,760 → 6,820,200 → 16,923,630 → 25,460,754 → 32,037,582 → 32,100,738 → 34,314,942 → 41,516,610 → 62,457,150 → 125,030,850 → 235,691,598 → 235,691,610 → 469,553,574 → 680,387,226 → 836,269,734 → 836,269,746 — unresolved within range

Continued fraction of √n

√1,012,200 = [1006; (12, 3, 1, 2, 1, 1, 2, 1, 3, 2, 12, 4, 1, 1, 1, 79, 1, 5, 2, 1, 1, 1, 2, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand two hundred
Ordinal: 1012200th
Binary: 11110111000111101000
Octal: 3670750
Hexadecimal: 0xF71E8
Base64: D3Ho
One's complement: 4,293,955,095 (32-bit)
Scientific notation: 1.0122 × 10⁶
As a duration: 1,012,200 s = 11 days, 17 hours, 10 minutes

In other bases

ternary (3) 1220102110220

quaternary (4) 3313013220

quinary (5) 224342300

senary (6) 33410040

septenary (7) 11414010

nonary (9) 1812426

undecimal (11) 631532

duodecimal (12) 409920

tridecimal (13) 295947

tetradecimal (14) 1c4c40

pentadecimal (15) 14eda0

As an angle

1,012,200° = 2,811 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢
Chinese: 一百零一萬二千二百
Chinese (financial): 壹佰零壹萬貳仟貳佰

In other modern scripts

Eastern Arabic ١٠١٢٢٠٠ Devanagari १०१२२०० Bengali ১০১২২০০ Tamil ௧௦௧௨௨௦௦ Thai ๑๐๑๒๒๐๐ Tibetan ༡༠༡༢༢༠༠ Khmer ១០១២២០០ Lao ໑໐໑໒໒໐໐ Burmese ၁၀၁၂၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012200, here are decompositions:

11 + 1012189 = 1012200
17 + 1012183 = 1012200
29 + 1012171 = 1012200
41 + 1012159 = 1012200
53 + 1012147 = 1012200
67 + 1012133 = 1012200
97 + 1012103 = 1012200
103 + 1012097 = 1012200

Showing the first eight; more decompositions exist.

Hex color

#0F71E8

RGB(15, 113, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.232.

Address: 0.15.113.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 2200 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2200-10-01 (MMDYYYY (US, single-digit day))
2200-01-10 (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 1,012,200 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 US1,012,200 on Google Patents ↗ Look up on USPTO ↗