Live analysis

1,013,940

1,013,940 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.).

1,013,940 (one million thirteen thousand nine hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 43 × 131. Its proper divisors sum to 2,157,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78B4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,928 1,013,929 1,013,930 1,013,931 1,013,932 1,013,933 1,013,934 1,013,935 1,013,936 1,013,937 1,013,938 1,013,939 1,013,940 1,013,941 1,013,942 1,013,943 1,013,944 1,013,945 1,013,946 1,013,947 1,013,948 1,013,949 1,013,950 1,013,951 1,013,952

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 493,101
Square (n²): 1,028,074,323,600
Cube (n³): 1,042,405,679,670,984,000
Divisor count: 72
σ(n) — sum of divisors: 3,171,168
φ(n) — Euler's totient: 262,080
Sum of prime factors: 189

Primality

Prime factorization: 2 ² × 3 ² × 5 × 43 × 131

Nearest primes: 1,013,933 (−7) · 1,013,993 (+53)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 43 · 45 · 60 · 86 · 90 · 129 · 131 · 172 · 180 · 215 · 258 · 262 · 387 · 393 · 430 · 516 · 524 · 645 · 655 · 774 · 786 · 860 · 1179 · 1290 · 1310 · 1548 · 1572 · 1935 · 1965 · 2358 · 2580 · 2620 · 3870 · 3930 · 4716 · 5633 · 5895 · 7740 · 7860 · 11266 · 11790 · 16899 · 22532 · 23580 · 28165 · 33798 · 50697 · 56330 · 67596 · 84495 · 101394 · 112660 · 168990 · 202788 · 253485 · 337980 · 506970 (half) · 1013940

Aliquot sum (sum of proper divisors): 2,157,228

Factor pairs (a × b = 1,013,940)

1 × 1013940

2 × 506970

3 × 337980

4 × 253485

5 × 202788

6 × 168990

9 × 112660

10 × 101394

12 × 84495

15 × 67596

18 × 56330

20 × 50697

30 × 33798

36 × 28165

43 × 23580

45 × 22532

60 × 16899

86 × 11790

90 × 11266

129 × 7860

131 × 7740

172 × 5895

180 × 5633

215 × 4716

258 × 3930

262 × 3870

387 × 2620

393 × 2580

430 × 2358

516 × 1965

524 × 1935

645 × 1572

655 × 1548

774 × 1310

786 × 1290

860 × 1179

First multiples

1,013,940 · 2,027,880 (double) · 3,041,820 · 4,055,760 · 5,069,700 · 6,083,640 · 7,097,580 · 8,111,520 · 9,125,460 · 10,139,400

Sums & aliquot sequence

As consecutive integers: 337,979 + 337,980 + 337,981 202,786 + 202,787 + 202,788 + 202,789 + 202,790 126,739 + 126,740 + … + 126,746 112,656 + 112,657 + … + 112,664

Aliquot sequence: 1,013,940 → 2,157,228 → 3,474,580 → 3,822,080 → 5,348,092 → 4,011,076 → 3,008,314 → 1,504,160 → 2,850,400 → 5,117,840 → 10,714,480 → 19,899,632 → 18,810,688 → 23,178,560 → 32,590,696 → 28,516,874 → 15,168,694 — unresolved within range

Continued fraction of √n

√1,013,940 = [1006; (1, 17, 2, 10, 5, 1, 10, 1, 16, 125, 1, 4, 4, 5, 2, 1, 14, 1, 2, 5, 4, 4, 1, 125, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred forty
Ordinal: 1013940th
Binary: 11110111100010110100
Octal: 3674264
Hexadecimal: 0xF78B4
Base64: D3i0
One's complement: 4,293,953,355 (32-bit)
Scientific notation: 1.01394 × 10⁶
As a duration: 1,013,940 s = 11 days, 17 hours, 39 minutes

In other bases

ternary (3) 1220111212100

quaternary (4) 3313202310

quinary (5) 224421230

senary (6) 33422100

septenary (7) 11422044

nonary (9) 1814770

undecimal (11) 632874

duodecimal (12) 40a930

tridecimal (13) 296685

tetradecimal (14) 1c5724

pentadecimal (15) 150660

As an angle

1,013,940° = 2,816 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千九百四十
Chinese (financial): 壹佰零壹萬參仟玖佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٩٤٠ Devanagari १०१३९४० Bengali ১০১৩৯৪০ Tamil ௧௦௧௩௯௪௦ Thai ๑๐๑๓๙๔๐ Tibetan ༡༠༡༣༩༤༠ Khmer ១០១៣៩៤០ Lao ໑໐໑໓໙໔໐ Burmese ၁၀၁၃၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013940, here are decompositions:

7 + 1013933 = 1013940
17 + 1013923 = 1013940
19 + 1013921 = 1013940
41 + 1013899 = 1013940
47 + 1013893 = 1013940
61 + 1013879 = 1013940
89 + 1013851 = 1013940
97 + 1013843 = 1013940

Showing the first eight; more decompositions exist.

Hex color

#0F78B4

RGB(15, 120, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.180.

Address: 0.15.120.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.180

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3940 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3940-10-01 (MMDYYYY (US, single-digit day))
3940-01-10 (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 1,013,940 and was likely granted around 1911.

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

Look up US1,013,940 on Google Patents ↗ Look up on USPTO ↗