Live analysis

1,007,200

1,007,200 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.).

1,007,200 (one million seven thousand two hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 1,259. Its proper divisors sum to 1,453,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E60.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,188 1,007,189 1,007,190 1,007,191 1,007,192 1,007,193 1,007,194 1,007,195 1,007,196 1,007,197 1,007,198 1,007,199 1,007,200 1,007,201 1,007,202 1,007,203 1,007,204 1,007,205 1,007,206 1,007,207 1,007,208 1,007,209 1,007,210 1,007,211 1,007,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 27,001
Square (n²): 1,014,451,840,000
Cube (n³): 1,021,755,893,248,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,460,780
φ(n) — Euler's totient: 402,560
Sum of prime factors: 1,279

Primality

Prime factorization: 2 ⁵ × 5 ² × 1259

Nearest primes: 1,007,179 (−21) · 1,007,203 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 200 · 400 · 800 · 1259 · 2518 · 5036 · 6295 · 10072 · 12590 · 20144 · 25180 · 31475 · 40288 · 50360 · 62950 · 100720 · 125900 · 201440 · 251800 · 503600 (half) · 1007200

Aliquot sum (sum of proper divisors): 1,453,580

Factor pairs (a × b = 1,007,200)

1 × 1007200

2 × 503600

4 × 251800

5 × 201440

8 × 125900

10 × 100720

16 × 62950

20 × 50360

25 × 40288

32 × 31475

40 × 25180

50 × 20144

80 × 12590

100 × 10072

160 × 6295

200 × 5036

400 × 2518

800 × 1259

First multiples

1,007,200 · 2,014,400 (double) · 3,021,600 · 4,028,800 · 5,036,000 · 6,043,200 · 7,050,400 · 8,057,600 · 9,064,800 · 10,072,000

Sums & aliquot sequence

As consecutive integers: 201,438 + 201,439 + 201,440 + 201,441 + 201,442 40,276 + 40,277 + … + 40,300 15,706 + 15,707 + … + 15,769 2,988 + 2,989 + … + 3,307

Aliquot sequence: 1,007,200 → 1,453,580 → 1,598,980 → 1,868,540 → 2,055,436 → 1,797,140 → 2,043,340 → 2,754,740 → 3,030,256 → 2,840,896 → 2,796,634 → 1,638,566 → 953,434 → 482,714 → 279,526 → 175,046 → 87,526 — unresolved within range

Continued fraction of √n

√1,007,200 = [1003; (1, 1, 2, 5, 1, 3, 1, 7, 3, 1, 2, 1, 4, 1, 63, 1, 11, 1, 7, 2, 9, 1, 1, 1, …)]

Representations

In words: one million seven thousand two hundred
Ordinal: 1007200th
Binary: 11110101111001100000
Octal: 3657140
Hexadecimal: 0xF5E60
Base64: D15g
One's complement: 4,293,960,095 (32-bit)
Scientific notation: 1.0072 × 10⁶
As a duration: 1,007,200 s = 11 days, 15 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1220011121201

quaternary (4) 3311321200

quinary (5) 224212300

senary (6) 33330544

septenary (7) 11363305

nonary (9) 1804551

undecimal (11) 6287a7

duodecimal (12) 406a54

tridecimal (13) 29359c

tetradecimal (14) 1c30ac

pentadecimal (15) 14d66a

As an angle

1,007,200° = 2,797 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Chinese: 一百萬七千二百
Chinese (financial): 壹佰萬柒仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٧٢٠٠ Devanagari १००७२०० Bengali ১০০৭২০০ Tamil ௧௦௦௭௨௦௦ Thai ๑๐๐๗๒๐๐ Tibetan ༡༠༠༧༢༠༠ Khmer ១០០៧២០០ Lao ໑໐໐໗໒໐໐ Burmese ၁၀၀၇၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007200, here are decompositions:

71 + 1007129 = 1007200
83 + 1007117 = 1007200
101 + 1007099 = 1007200
179 + 1007021 = 1007200
251 + 1006949 = 1007200
263 + 1006937 = 1007200
317 + 1006883 = 1007200
347 + 1006853 = 1007200

Showing the first eight; more decompositions exist.

Hex color

#0F5E60

RGB(15, 94, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.96.

Address: 0.15.94.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.96

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 1,007,200 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 US1,007,200 on Google Patents ↗ Look up on USPTO ↗