Live analysis

1,013,400

1,013,400 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.).

1,013,400 (one million thirteen thousand four hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5² × 563. Its proper divisors sum to 2,395,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7698.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,388 1,013,389 1,013,390 1,013,391 1,013,392 1,013,393 1,013,394 1,013,395 1,013,396 1,013,397 1,013,398 1,013,399 1,013,400 1,013,401 1,013,402 1,013,403 1,013,404 1,013,405 1,013,406 1,013,407 1,013,408 1,013,409 1,013,410 1,013,411 1,013,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 43,101
Square (n²): 1,026,979,560,000
Cube (n³): 1,040,741,086,104,000,000
Divisor count: 72
σ(n) — sum of divisors: 3,409,380
φ(n) — Euler's totient: 269,760
Sum of prime factors: 585

Primality

Prime factorization: 2 ³ × 3 ² × 5 ² × 563

Nearest primes: 1,013,399 (−1) · 1,013,401 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 72 · 75 · 90 · 100 · 120 · 150 · 180 · 200 · 225 · 300 · 360 · 450 · 563 · 600 · 900 · 1126 · 1689 · 1800 · 2252 · 2815 · 3378 · 4504 · 5067 · 5630 · 6756 · 8445 · 10134 · 11260 · 13512 · 14075 · 16890 · 20268 · 22520 · 25335 · 28150 · 33780 · 40536 · 42225 · 50670 · 56300 · 67560 · 84450 · 101340 · 112600 · 126675 · 168900 · 202680 · 253350 · 337800 · 506700 (half) · 1013400

Aliquot sum (sum of proper divisors): 2,395,980

Factor pairs (a × b = 1,013,400)

1 × 1013400

2 × 506700

3 × 337800

4 × 253350

5 × 202680

6 × 168900

8 × 126675

9 × 112600

10 × 101340

12 × 84450

15 × 67560

18 × 56300

20 × 50670

24 × 42225

25 × 40536

30 × 33780

36 × 28150

40 × 25335

45 × 22520

50 × 20268

60 × 16890

72 × 14075

75 × 13512

90 × 11260

100 × 10134

120 × 8445

150 × 6756

180 × 5630

200 × 5067

225 × 4504

300 × 3378

360 × 2815

450 × 2252

563 × 1800

600 × 1689

900 × 1126

First multiples

1,013,400 · 2,026,800 (double) · 3,040,200 · 4,053,600 · 5,067,000 · 6,080,400 · 7,093,800 · 8,107,200 · 9,120,600 · 10,134,000

Sums & aliquot sequence

As consecutive integers: 337,799 + 337,800 + 337,801 202,678 + 202,679 + 202,680 + 202,681 + 202,682 112,596 + 112,597 + … + 112,604 67,553 + 67,554 + … + 67,567

Aliquot sequence: 1,013,400 → 2,395,980 → 5,859,540 → 12,527,136 → 24,668,064 → 50,464,224 → 94,203,936 → 194,503,392 → 391,166,784 → 738,454,020 → 1,329,217,404 → 1,800,248,964 → 2,404,968,444 → 4,031,860,500 → 8,746,583,724 → 13,366,771,540 — keeps growing

Continued fraction of √n

√1,013,400 = [1006; (1, 2, 9, 1, 2, 1, 3, 80, 3, 1, 2, 1, 9, 2, 1, 2012)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred
Ordinal: 1013400th
Binary: 11110111011010011000
Octal: 3673230
Hexadecimal: 0xF7698
Base64: D3aY
One's complement: 4,293,953,895 (32-bit)
Scientific notation: 1.0134 × 10⁶
As a duration: 1,013,400 s = 11 days, 17 hours, 30 minutes

In other bases

ternary (3) 1220111010100

quaternary (4) 3313122120

quinary (5) 224412100

senary (6) 33415400

septenary (7) 11420343

nonary (9) 1814110

undecimal (11) 632423

duodecimal (12) 40a560

tridecimal (13) 29635b

tetradecimal (14) 1c545a

pentadecimal (15) 150400

As an angle

1,013,400° = 2,815 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零一萬三千四百
Chinese (financial): 壹佰零壹萬參仟肆佰

In other modern scripts

Eastern Arabic ١٠١٣٤٠٠ Devanagari १०१३४०० Bengali ১০১৩৪০০ Tamil ௧௦௧௩௪௦௦ Thai ๑๐๑๓๔๐๐ Tibetan ༡༠༡༣༤༠༠ Khmer ១០១៣៤០០ Lao ໑໐໑໓໔໐໐ Burmese ၁၀၁၃၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013400, here are decompositions:

23 + 1013377 = 1013400
71 + 1013329 = 1013400
79 + 1013321 = 1013400
109 + 1013291 = 1013400
137 + 1013263 = 1013400
151 + 1013249 = 1013400
163 + 1013237 = 1013400
173 + 1013227 = 1013400

Showing the first eight; more decompositions exist.

Hex color

#0F7698

RGB(15, 118, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.152.

Address: 0.15.118.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.152

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3400-10-01 (MMDYYYY (US, single-digit day))
3400-01-10 (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 1,013,400 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 US1,013,400 on Google Patents ↗ Look up on USPTO ↗