Live analysis

1,014,400

1,014,400 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.).

1,014,400 (one million fourteen thousand four hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 5² × 317. Its proper divisors sum to 1,499,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7A80.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,014,388 1,014,389 1,014,390 1,014,391 1,014,392 1,014,393 1,014,394 1,014,395 1,014,396 1,014,397 1,014,398 1,014,399 1,014,400 1,014,401 1,014,402 1,014,403 1,014,404 1,014,405 1,014,406 1,014,407 1,014,408 1,014,409 1,014,410 1,014,411 1,014,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 44,101
Square (n²): 1,029,007,360,000
Cube (n³): 1,043,825,065,984,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,513,790
φ(n) — Euler's totient: 404,480
Sum of prime factors: 341

Primality

Prime factorization: 2 ⁷ × 5 ² × 317

Nearest primes: 1,014,397 (−3) · 1,014,451 (+51)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 128 · 160 · 200 · 317 · 320 · 400 · 634 · 640 · 800 · 1268 · 1585 · 1600 · 2536 · 3170 · 3200 · 5072 · 6340 · 7925 · 10144 · 12680 · 15850 · 20288 · 25360 · 31700 · 40576 · 50720 · 63400 · 101440 · 126800 · 202880 · 253600 · 507200 (half) · 1014400

Aliquot sum (sum of proper divisors): 1,499,390

Factor pairs (a × b = 1,014,400)

1 × 1014400

2 × 507200

4 × 253600

5 × 202880

8 × 126800

10 × 101440

16 × 63400

20 × 50720

25 × 40576

32 × 31700

40 × 25360

50 × 20288

64 × 15850

80 × 12680

100 × 10144

128 × 7925

160 × 6340

200 × 5072

317 × 3200

320 × 3170

400 × 2536

634 × 1600

640 × 1585

800 × 1268

First multiples

1,014,400 · 2,028,800 (double) · 3,043,200 · 4,057,600 · 5,072,000 · 6,086,400 · 7,100,800 · 8,115,200 · 9,129,600 · 10,144,000

Sums & aliquot sequence

As a sum of two squares: 120² + 1,000² = 504² + 872² = 696² + 728²

As consecutive integers: 202,878 + 202,879 + 202,880 + 202,881 + 202,882 40,564 + 40,565 + … + 40,588 3,835 + 3,836 + … + 4,090 3,042 + 3,043 + … + 3,358

Aliquot sequence: 1,014,400 → 1,499,390 → 1,199,530 → 959,642 → 479,824 → 449,866 → 240,758 → 186,922 → 108,278 → 54,142 → 39,170 → 31,354 → 16,634 → 8,320 → 13,100 → 15,544 → 15,056 — unresolved within range

Continued fraction of √n

√1,014,400 = [1007; (5, 1, 2, 1, 4, 1, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, 51, 223, 1, 3, 1, 13, …)]

Representations

In words: one million fourteen thousand four hundred
Ordinal: 1014400th
Binary: 11110111101010000000
Octal: 3675200
Hexadecimal: 0xF7A80
Base64: D3qA
One's complement: 4,293,952,895 (32-bit)
Scientific notation: 1.0144 × 10⁶
As a duration: 1,014,400 s = 11 days, 17 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1220112111101

quaternary (4) 3313222000

quinary (5) 224430100

senary (6) 33424144

septenary (7) 11423302

nonary (9) 1815441

undecimal (11) 633152

duodecimal (12) 40b054

tridecimal (13) 29694a

tetradecimal (14) 1c5972

pentadecimal (15) 15086a

As an angle

1,014,400° = 2,817 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零一萬四千四百
Chinese (financial): 壹佰零壹萬肆仟肆佰

In other modern scripts

Eastern Arabic ١٠١٤٤٠٠ Devanagari १०१४४०० Bengali ১০১৪৪০০ Tamil ௧௦௧௪௪௦௦ Thai ๑๐๑๔๔๐๐ Tibetan ༡༠༡༤༤༠༠ Khmer ១០១៤៤០០ Lao ໑໐໑໔໔໐໐ Burmese ၁၀၁၄၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014400, here are decompositions:

3 + 1014397 = 1014400
11 + 1014389 = 1014400
29 + 1014371 = 1014400
41 + 1014359 = 1014400
59 + 1014341 = 1014400
83 + 1014317 = 1014400
113 + 1014287 = 1014400
137 + 1014263 = 1014400

Showing the first eight; more decompositions exist.

Hex color

#0F7A80

RGB(15, 122, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.122.128.

Address: 0.15.122.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.122.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 4400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

4400-10-01 (MMDYYYY (US, single-digit day))
4400-01-10 (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 1,014,400 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 US1,014,400 on Google Patents ↗ Look up on USPTO ↗