Live analysis

501,400

501,400 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.).

501,400 (five hundred one thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 23 × 109. Its proper divisors sum to 726,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A698.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

501,388 501,389 501,390 501,391 501,392 501,393 501,394 501,395 501,396 501,397 501,398 501,399 501,400 501,401 501,402 501,403 501,404 501,405 501,406 501,407 501,408 501,409 501,410 501,411 501,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 4,105
Square (n²): 251,401,960,000
Cube (n³): 126,052,942,744,000,000
Divisor count: 48
σ(n) — sum of divisors: 1,227,600
φ(n) — Euler's totient: 190,080
Sum of prime factors: 148

Primality

Prime factorization: 2 ³ × 5 ² × 23 × 109

Nearest primes: 501,383 (−17) · 501,401 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 25 · 40 · 46 · 50 · 92 · 100 · 109 · 115 · 184 · 200 · 218 · 230 · 436 · 460 · 545 · 575 · 872 · 920 · 1090 · 1150 · 2180 · 2300 · 2507 · 2725 · 4360 · 4600 · 5014 · 5450 · 10028 · 10900 · 12535 · 20056 · 21800 · 25070 · 50140 · 62675 · 100280 · 125350 · 250700 (half) · 501400

Aliquot sum (sum of proper divisors): 726,200

Factor pairs (a × b = 501,400)

1 × 501400

2 × 250700

4 × 125350

5 × 100280

8 × 62675

10 × 50140

20 × 25070

23 × 21800

25 × 20056

40 × 12535

46 × 10900

50 × 10028

92 × 5450

100 × 5014

109 × 4600

115 × 4360

184 × 2725

200 × 2507

218 × 2300

230 × 2180

436 × 1150

460 × 1090

545 × 920

575 × 872

First multiples

501,400 · 1,002,800 (double) · 1,504,200 · 2,005,600 · 2,507,000 · 3,008,400 · 3,509,800 · 4,011,200 · 4,512,600 · 5,014,000

Sums & aliquot sequence

As consecutive integers: 100,278 + 100,279 + 100,280 + 100,281 + 100,282 31,330 + 31,331 + … + 31,345 21,789 + 21,790 + … + 21,811 20,044 + 20,045 + … + 20,068

Aliquot sequence: 501,400 → 726,200 → 962,680 → 1,259,960 → 1,794,280 → 2,375,960 → 2,970,040 → 3,879,320 → 4,905,400 → 6,500,120 → 10,736,680 → 13,939,160 → 19,076,440 → 23,845,640 → 42,198,520 → 74,669,000 → 125,035,960 — unresolved within range

Continued fraction of √n

√501,400 = [708; (10, 2, 2, 2, 1, 4, 5, 6, 1, 1, 2, 2, 7, 1, 2, 13, 3, 1, 2, 2, 1, 5, 1, 1, …)]

Representations

In words: five hundred one thousand four hundred
Ordinal: 501400th
Binary: 1111010011010011000
Octal: 1723230
Hexadecimal: 0x7A698
Base64: B6aY
One's complement: 4,294,465,895 (32-bit)
Scientific notation: 5.014 × 10⁵
As a duration: 501,400 s = 5 days, 19 hours, 16 minutes, 40 seconds

In other bases

ternary (3) 221110210101

quaternary (4) 1322122120

quinary (5) 112021100

senary (6) 14425144

septenary (7) 4155544

nonary (9) 843711

undecimal (11) 312789

duodecimal (12) 2021b4

tridecimal (13) 1472b3

tetradecimal (14) d0a24

pentadecimal (15) 9d86a

As an angle

501,400° = 1,392 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵φαυʹ
Chinese: 五十萬一千四百
Chinese (financial): 伍拾萬壹仟肆佰

In other modern scripts

Eastern Arabic ٥٠١٤٠٠ Devanagari ५०१४०० Bengali ৫০১৪০০ Tamil ௫௦௧௪௦௦ Thai ๕๐๑๔๐๐ Tibetan ༥༠༡༤༠༠ Khmer ៥០១៤០០ Lao ໕໐໑໔໐໐ Burmese ၅၀၁၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501400, here are decompositions:

17 + 501383 = 501400
59 + 501341 = 501400
83 + 501317 = 501400
101 + 501299 = 501400
113 + 501287 = 501400
167 + 501233 = 501400
191 + 501209 = 501400
197 + 501203 = 501400

Showing the first eight; more decompositions exist.

Hex color

#07A698

RGB(7, 166, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.166.152.

Address: 0.7.166.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.166.152

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 501,400 and was likely granted around 1893.

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

Look up US501,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 501400 first appears in π at position 884,206 of the decimal expansion (the 884,206ordinal-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.

Look up 501400 on Pi Search ↗