Live analysis

1,007,680

1,007,680 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.).

1,007,680 (one million seven thousand six hundred eighty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 47 × 67. Its proper divisors sum to 1,479,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6040.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,668 1,007,669 1,007,670 1,007,671 1,007,672 1,007,673 1,007,674 1,007,675 1,007,676 1,007,677 1,007,678 1,007,679 1,007,680 1,007,681 1,007,682 1,007,683 1,007,684 1,007,685 1,007,686 1,007,687 1,007,688 1,007,689 1,007,690 1,007,691 1,007,692

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 867,001
Recamán's sequence: a(350,091) = 1,007,680
Square (n²): 1,015,418,982,400
Cube (n³): 1,023,217,400,184,832,000
Divisor count: 56
σ(n) — sum of divisors: 2,487,168
φ(n) — Euler's totient: 388,608
Sum of prime factors: 131

Primality

Prime factorization: 2 ⁶ × 5 × 47 × 67

Nearest primes: 1,007,651 (−29) · 1,007,681 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 47 · 64 · 67 · 80 · 94 · 134 · 160 · 188 · 235 · 268 · 320 · 335 · 376 · 470 · 536 · 670 · 752 · 940 · 1072 · 1340 · 1504 · 1880 · 2144 · 2680 · 3008 · 3149 · 3760 · 4288 · 5360 · 6298 · 7520 · 10720 · 12596 · 15040 · 15745 · 21440 · 25192 · 31490 · 50384 · 62980 · 100768 · 125960 · 201536 · 251920 · 503840 (half) · 1007680

Aliquot sum (sum of proper divisors): 1,479,488

Factor pairs (a × b = 1,007,680)

1 × 1007680

2 × 503840

4 × 251920

5 × 201536

8 × 125960

10 × 100768

16 × 62980

20 × 50384

32 × 31490

40 × 25192

47 × 21440

64 × 15745

67 × 15040

80 × 12596

94 × 10720

134 × 7520

160 × 6298

188 × 5360

235 × 4288

268 × 3760

320 × 3149

335 × 3008

376 × 2680

470 × 2144

536 × 1880

670 × 1504

752 × 1340

940 × 1072

First multiples

1,007,680 · 2,015,360 (double) · 3,023,040 · 4,030,720 · 5,038,400 · 6,046,080 · 7,053,760 · 8,061,440 · 9,069,120 · 10,076,800

Sums & aliquot sequence

As consecutive integers: 201,534 + 201,535 + 201,536 + 201,537 + 201,538 21,417 + 21,418 + … + 21,463 15,007 + 15,008 + … + 15,073 7,809 + 7,810 + … + 7,936

Aliquot sequence: 1,007,680 → 1,479,488 → 1,456,498 → 823,310 → 809,650 → 696,392 → 609,358 → 307,994 → 154,000 → 310,256 → 290,896 → 272,746 → 136,376 → 119,344 → 111,916 → 116,312 → 144,808 — unresolved within range

Continued fraction of √n

√1,007,680 = [1003; (1, 4, 1, 40, 7, 5, 1, 4, 1, 54, 1, 15, 1, 1, 1, 1, 3, 3, 15, 1, 7, 1, 3, 24, …)]

Representations

In words: one million seven thousand six hundred eighty
Ordinal: 1007680th
Binary: 11110110000001000000
Octal: 3660100
Hexadecimal: 0xF6040
Base64: D2BA
One's complement: 4,293,959,615 (32-bit)
Scientific notation: 1.00768 × 10⁶
As a duration: 1,007,680 s = 11 days, 15 hours, 54 minutes, 40 seconds

In other bases

ternary (3) 1220012021111

quaternary (4) 3312001000

quinary (5) 224221210

senary (6) 33333104

septenary (7) 11364562

nonary (9) 1805244

undecimal (11) 6290a3

duodecimal (12) 407194

tridecimal (13) 29387b

tetradecimal (14) 1c3332

pentadecimal (15) 14d88a

As an angle

1,007,680° = 2,799 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬七千六百八十
Chinese (financial): 壹佰萬柒仟陸佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٧٦٨٠ Devanagari १००७६८० Bengali ১০০৭৬৮০ Tamil ௧௦௦௭௬௮௦ Thai ๑๐๐๗๖๘๐ Tibetan ༡༠༠༧༦༨༠ Khmer ១០០៧៦៨០ Lao ໑໐໐໗໖໘໐ Burmese ၁၀၀၇၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007680, here are decompositions:

29 + 1007651 = 1007680
71 + 1007609 = 1007680
83 + 1007597 = 1007680
131 + 1007549 = 1007680
197 + 1007483 = 1007680
239 + 1007441 = 1007680
251 + 1007429 = 1007680
263 + 1007417 = 1007680

Showing the first eight; more decompositions exist.

Hex color

#0F6040

RGB(15, 96, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.64.

Address: 0.15.96.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.96.64

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 1,007,680 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 US1,007,680 on Google Patents ↗ Look up on USPTO ↗