Live analysis

1,016,400

1,016,400 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.).

1,016,400 (one million sixteen thousand four hundred) is an even 7-digit number. It is a composite number with 180 divisors, and factors as 2⁴ × 3 × 5² × 7 × 11². Its proper divisors sum to 3,073,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8250.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,016,388 1,016,389 1,016,390 1,016,391 1,016,392 1,016,393 1,016,394 1,016,395 1,016,396 1,016,397 1,016,398 1,016,399 1,016,400 1,016,401 1,016,402 1,016,403 1,016,404 1,016,405 1,016,406 1,016,407 1,016,408 1,016,409 1,016,410 1,016,411 1,016,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 46,101
Square (n²): 1,033,068,960,000
Cube (n³): 1,050,011,290,944,000,000
Divisor count: 180
σ(n) — sum of divisors: 4,090,016
φ(n) — Euler's totient: 211,200
Sum of prime factors: 50

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 7 × 11 ²

Nearest primes: 1,016,399 (−1) · 1,016,401 (+1)

Divisors & multiples

All divisors (180)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 11 · 12 · 14 · 15 · 16 · 20 · 21 · 22 · 24 · 25 · 28 · 30 · 33 · 35 · 40 · 42 · 44 · 48 · 50 · 55 · 56 · 60 · 66 · 70 · 75 · 77 · 80 · 84 · 88 · 100 · 105 · 110 · 112 · 120 · 121 · 132 · 140 · 150 · 154 · 165 · 168 · 175 · 176 · 200 · 210 · 220 · 231 · 240 · 242 · 264 · 275 · 280 · 300 · 308 · 330 · 336 · 350 · 363 · 385 · 400 · 420 · 440 · 462 · 484 · 525 · 528 · 550 · 560 · 600 · 605 · 616 · 660 · 700 · 726 · 770 · 825 · 840 · 847 · 880 · 924 · 968 · 1050 · 1100 · 1155 · 1200 · 1210 · 1232 · 1320 · 1400 · 1452 · 1540 · 1650 · 1680 · 1694 · 1815 · 1848 · 1925 · 1936 · 2100 · 2200 · 2310 · 2420 · 2541 · 2640 · 2800 · 2904 · 3025 · 3080 · 3300 · 3388 · 3630 · 3696 · 3850 · 4200 · 4235 · 4400 · 4620 · 4840 · 5082 · 5775 · 5808 · 6050 · 6160 · 6600 · 6776 · 7260 · 7700 · 8400 · 8470 · 9075 · 9240 · 9680 · 10164 · 11550 · 12100 · 12705 · 13200 · 13552 · 14520 · 15400 · 16940 · 18150 · 18480 · 20328 · 21175 · 23100 · 24200 · 25410 · 29040 · 30800 · 33880 · 36300 · 40656 · 42350 · 46200 · 48400 · 50820 · 63525 · 67760 · 72600 · 84700 · 92400 · 101640 · 127050 · 145200 · 169400 · 203280 · 254100 · 338800 · 508200 (half) · 1016400

Aliquot sum (sum of proper divisors): 3,073,616

Factor pairs (a × b = 1,016,400)

1 × 1016400

2 × 508200

3 × 338800

4 × 254100

5 × 203280

6 × 169400

7 × 145200

8 × 127050

10 × 101640

11 × 92400

12 × 84700

14 × 72600

15 × 67760

16 × 63525

20 × 50820

21 × 48400

22 × 46200

24 × 42350

25 × 40656

28 × 36300

30 × 33880

33 × 30800

35 × 29040

40 × 25410

42 × 24200

44 × 23100

48 × 21175

50 × 20328

55 × 18480

56 × 18150

60 × 16940

66 × 15400

70 × 14520

75 × 13552

77 × 13200

80 × 12705

84 × 12100

88 × 11550

100 × 10164

105 × 9680

110 × 9240

112 × 9075

120 × 8470

121 × 8400

132 × 7700

140 × 7260

150 × 6776

154 × 6600

165 × 6160

168 × 6050

175 × 5808

176 × 5775

200 × 5082

210 × 4840

220 × 4620

231 × 4400

240 × 4235

242 × 4200

264 × 3850

275 × 3696

280 × 3630

300 × 3388

308 × 3300

330 × 3080

336 × 3025

350 × 2904

363 × 2800

385 × 2640

400 × 2541

420 × 2420

440 × 2310

462 × 2200

484 × 2100

525 × 1936

528 × 1925

550 × 1848

560 × 1815

600 × 1694

605 × 1680

616 × 1650

660 × 1540

700 × 1452

726 × 1400

770 × 1320

825 × 1232

840 × 1210

847 × 1200

880 × 1155

924 × 1100

968 × 1050

First multiples

1,016,400 · 2,032,800 (double) · 3,049,200 · 4,065,600 · 5,082,000 · 6,098,400 · 7,114,800 · 8,131,200 · 9,147,600 · 10,164,000

Sums & aliquot sequence

As consecutive integers: 338,799 + 338,800 + 338,801 203,278 + 203,279 + 203,280 + 203,281 + 203,282 145,197 + 145,198 + … + 145,203 92,395 + 92,396 + … + 92,405

Aliquot sequence: 1,016,400 → 3,073,616 → 4,259,248 → 5,731,184 → 5,439,976 → 4,785,464 → 4,497,136 → 5,461,056 → 11,048,944 → 10,449,680 → 13,846,012 → 10,926,820 → 12,019,544 → 11,843,056 → 11,102,896 → 13,482,336 → 26,966,688 — unresolved within range

Continued fraction of √n

√1,016,400 = [1008; (6, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand four hundred
Ordinal: 1016400th
Binary: 11111000001001010000
Octal: 3701120
Hexadecimal: 0xF8250
Base64: D4JQ
One's complement: 4,293,950,895 (32-bit)
Scientific notation: 1.0164 × 10⁶
As a duration: 1,016,400 s = 11 days, 18 hours, 20 minutes

In other bases

ternary (3) 1220122020110

quaternary (4) 3320021100

quinary (5) 230011100

senary (6) 33441320

septenary (7) 11432160

nonary (9) 1818213

undecimal (11) 634700

duodecimal (12) 410240

tridecimal (13) 297828

tetradecimal (14) 1c65a0

pentadecimal (15) 151250

As an angle

1,016,400° = 2,823 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零一萬六千四百
Chinese (financial): 壹佰零壹萬陸仟肆佰

In other modern scripts

Eastern Arabic ١٠١٦٤٠٠ Devanagari १०१६४०० Bengali ১০১৬৪০০ Tamil ௧௦௧௬௪௦௦ Thai ๑๐๑๖๔๐๐ Tibetan ༡༠༡༦༤༠༠ Khmer ១០១៦៤០០ Lao ໑໐໑໖໔໐໐ Burmese ၁၀၁၆၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016400, here are decompositions:

29 + 1016371 = 1016400
41 + 1016359 = 1016400
43 + 1016357 = 1016400
59 + 1016341 = 1016400
61 + 1016339 = 1016400
97 + 1016303 = 1016400
137 + 1016263 = 1016400
163 + 1016237 = 1016400

Showing the first eight; more decompositions exist.

Hex color

#0F8250

RGB(15, 130, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.80.

Address: 0.15.130.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 6400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6400-10-01 (MMDYYYY (US, single-digit day))
6400-01-10 (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 1,016,400 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 US1,016,400 on Google Patents ↗ Look up on USPTO ↗