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1,007,940

1,007,940 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.).

1,007,940 (one million seven thousand nine hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 107 × 157. Its proper divisors sum to 1,858,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6144.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
497,001
Recamán's sequence
a(349,571) = 1,007,940
Square (n²)
1,015,943,043,600
Cube (n³)
1,024,009,631,366,184,000
Divisor count
48
σ(n) — sum of divisors
2,866,752
φ(n) — Euler's totient
264,576
Sum of prime factors
276

Primality

Prime factorization: 2 2 × 3 × 5 × 107 × 157

Nearest primes: 1,007,939 (−1) · 1,007,957 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 107 · 157 · 214 · 314 · 321 · 428 · 471 · 535 · 628 · 642 · 785 · 942 · 1070 · 1284 · 1570 · 1605 · 1884 · 2140 · 2355 · 3140 · 3210 · 4710 · 6420 · 9420 · 16799 · 33598 · 50397 · 67196 · 83995 · 100794 · 167990 · 201588 · 251985 · 335980 · 503970 (half) · 1007940
Aliquot sum (sum of proper divisors): 1,858,812
Factor pairs (a × b = 1,007,940)
1 × 1007940
2 × 503970
3 × 335980
4 × 251985
5 × 201588
6 × 167990
10 × 100794
12 × 83995
15 × 67196
20 × 50397
30 × 33598
60 × 16799
107 × 9420
157 × 6420
214 × 4710
314 × 3210
321 × 3140
428 × 2355
471 × 2140
535 × 1884
628 × 1605
642 × 1570
785 × 1284
942 × 1070
First multiples
1,007,940 · 2,015,880 (double) · 3,023,820 · 4,031,760 · 5,039,700 · 6,047,640 · 7,055,580 · 8,063,520 · 9,071,460 · 10,079,400

Sums & aliquot sequence

As consecutive integers: 335,979 + 335,980 + 335,981 201,586 + 201,587 + 201,588 + 201,589 + 201,590 125,989 + 125,990 + … + 125,996 67,189 + 67,190 + … + 67,203
Aliquot sequence: 1,007,940 1,858,812 2,506,500 5,414,868 8,272,806 8,272,818 9,750,330 15,824,934 19,386,294 19,386,306 22,617,396 34,554,446 18,051,034 9,025,520 15,401,488 14,507,312 13,600,636 — unresolved within range

Continued fraction of √n

√1,007,940 = [1003; (1, 25, 2, 2, 1, 1, 1, 4, 1, 13, 2, 2, 1, 1, 4, 31, 6, 2, 2, 1, 4, 12, 2, 1, …)]

Representations

In words
one million seven thousand nine hundred forty
Ordinal
1007940th
Binary
11110110000101000100
Octal
3660504
Hexadecimal
0xF6144
Base64
D2FE
One's complement
4,293,959,355 (32-bit)
Scientific notation
1.00794 × 10⁶
As a duration
1,007,940 s = 11 days, 15 hours, 59 minutes
In other bases
ternary (3) 1220012122010
quaternary (4) 3312011010
quinary (5) 224223230
senary (6) 33334220
septenary (7) 11365413
nonary (9) 1805563
undecimal (11) 62930a
duodecimal (12) 407370
tridecimal (13) 293a1b
tetradecimal (14) 1c347a
pentadecimal (15) 14d9b0

As an angle

1,007,940° = 2,799 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百萬七千九百四十
Chinese (financial)
壹佰萬柒仟玖佰肆拾
In other modern scripts
Eastern Arabic ١٠٠٧٩٤٠ Devanagari १००७९४० Bengali ১০০৭৯৪০ Tamil ௧௦௦௭௯௪௦ Thai ๑๐๐๗๙๔๐ Tibetan ༡༠༠༧༩༤༠ Khmer ១០០៧៩៤០ Lao ໑໐໐໗໙໔໐ Burmese ၁၀၀၇၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007940, here are decompositions:

  • 7 + 1007933 = 1007940
  • 19 + 1007921 = 1007940
  • 53 + 1007887 = 1007940
  • 67 + 1007873 = 1007940
  • 79 + 1007861 = 1007940
  • 83 + 1007857 = 1007940
  • 113 + 1007827 = 1007940
  • 127 + 1007813 = 1007940

Showing the first eight; more decompositions exist.

Hex color
#0F6144
RGB(15, 97, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.68.

Address
0.15.97.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.97.68

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 1,007,940 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1007940 first appears in π at position 648,590 of the decimal expansion (the 648,590ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.