Live analysis

1,007,240

1,007,240 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.).

1,007,240 (one million seven thousand two hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5 × 13² × 149. Its proper divisors sum to 1,463,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E88.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,228 1,007,229 1,007,230 1,007,231 1,007,232 1,007,233 1,007,234 1,007,235 1,007,236 1,007,237 1,007,238 1,007,239 1,007,240 1,007,241 1,007,242 1,007,243 1,007,244 1,007,245 1,007,246 1,007,247 1,007,248 1,007,249 1,007,250 1,007,251 1,007,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 427,001
Square (n²): 1,014,532,417,600
Cube (n³): 1,021,877,632,303,424,000
Divisor count: 48
σ(n) — sum of divisors: 2,470,500
φ(n) — Euler's totient: 369,408
Sum of prime factors: 186

Primality

Prime factorization: 2 ³ × 5 × 13 ² × 149

Nearest primes: 1,007,231 (−9) · 1,007,243 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 149 · 169 · 260 · 298 · 338 · 520 · 596 · 676 · 745 · 845 · 1192 · 1352 · 1490 · 1690 · 1937 · 2980 · 3380 · 3874 · 5960 · 6760 · 7748 · 9685 · 15496 · 19370 · 25181 · 38740 · 50362 · 77480 · 100724 · 125905 · 201448 · 251810 · 503620 (half) · 1007240

Aliquot sum (sum of proper divisors): 1,463,260

Factor pairs (a × b = 1,007,240)

1 × 1007240

2 × 503620

4 × 251810

5 × 201448

8 × 125905

10 × 100724

13 × 77480

20 × 50362

26 × 38740

40 × 25181

52 × 19370

65 × 15496

104 × 9685

130 × 7748

149 × 6760

169 × 5960

260 × 3874

298 × 3380

338 × 2980

520 × 1937

596 × 1690

676 × 1490

745 × 1352

845 × 1192

First multiples

1,007,240 · 2,014,480 (double) · 3,021,720 · 4,028,960 · 5,036,200 · 6,043,440 · 7,050,680 · 8,057,920 · 9,065,160 · 10,072,400

Sums & aliquot sequence

As a sum of two squares: 106² + 998² = 242² + 974² = 286² + 962² = 514² + 862²

As consecutive integers: 201,446 + 201,447 + 201,448 + 201,449 + 201,450 77,474 + 77,475 + … + 77,486 62,945 + 62,946 + … + 62,960 15,464 + 15,465 + … + 15,528

Aliquot sequence: 1,007,240 → 1,463,260 → 1,744,196 → 1,321,384 → 1,156,226 → 669,454 → 334,730 → 365,110 → 315,290 → 266,830 → 213,482 → 109,114 → 56,666 → 31,354 → 16,634 → 8,320 → 13,100 — unresolved within range

Continued fraction of √n

√1,007,240 = [1003; (1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 11, 5, 1, 9, 1, 2, 16, 4, 11, 1, 1, 1, 2, …)]

Representations

In words: one million seven thousand two hundred forty
Ordinal: 1007240th
Binary: 11110101111010001000
Octal: 3657210
Hexadecimal: 0xF5E88
Base64: D16I
One's complement: 4,293,960,055 (32-bit)
Scientific notation: 1.00724 × 10⁶
As a duration: 1,007,240 s = 11 days, 15 hours, 47 minutes, 20 seconds

In other bases

ternary (3) 1220011200012

quaternary (4) 3311322020

quinary (5) 224212430

senary (6) 33331052

septenary (7) 11363363

nonary (9) 1804605

undecimal (11) 628833

duodecimal (12) 406a88

tridecimal (13) 293600

tetradecimal (14) 1c30da

pentadecimal (15) 14d695

As an angle

1,007,240° = 2,797 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬七千二百四十
Chinese (financial): 壹佰萬柒仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٧٢٤٠ Devanagari १००७२४० Bengali ১০০৭২৪০ Tamil ௧௦௦௭௨௪௦ Thai ๑๐๐๗๒๔๐ Tibetan ༡༠༠༧༢༤༠ Khmer ១០០៧២៤០ Lao ໑໐໐໗໒໔໐ Burmese ၁၀၀၇၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007240, here are decompositions:

37 + 1007203 = 1007240
61 + 1007179 = 1007240
67 + 1007173 = 1007240
79 + 1007161 = 1007240
103 + 1007137 = 1007240
151 + 1007089 = 1007240
181 + 1007059 = 1007240
193 + 1007047 = 1007240

Showing the first eight; more decompositions exist.

Hex color

#0F5E88

RGB(15, 94, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.136.

Address: 0.15.94.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.136

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 1,007,240 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 US1,007,240 on Google Patents ↗ Look up on USPTO ↗