Live analysis

513,440

513,440 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.).

513,440 (five hundred thirteen thousand four hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 3,209. Its proper divisors sum to 699,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5A0.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

513,428 513,429 513,430 513,431 513,432 513,433 513,434 513,435 513,436 513,437 513,438 513,439 513,440 513,441 513,442 513,443 513,444 513,445 513,446 513,447 513,448 513,449 513,450 513,451 513,452

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 44,315
Square (n²): 263,620,633,600
Cube (n³): 135,353,378,115,584,000
Divisor count: 24
σ(n) — sum of divisors: 1,213,380
φ(n) — Euler's totient: 205,312
Sum of prime factors: 3,224

Primality

Prime factorization: 2 ⁵ × 5 × 3209

Nearest primes: 513,439 (−1) · 513,473 (+33)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 3209 · 6418 · 12836 · 16045 · 25672 · 32090 · 51344 · 64180 · 102688 · 128360 · 256720 (half) · 513440

Aliquot sum (sum of proper divisors): 699,940

Factor pairs (a × b = 513,440)

1 × 513440

2 × 256720

4 × 128360

5 × 102688

8 × 64180

10 × 51344

16 × 32090

20 × 25672

32 × 16045

40 × 12836

80 × 6418

160 × 3209

First multiples

513,440 · 1,026,880 (double) · 1,540,320 · 2,053,760 · 2,567,200 · 3,080,640 · 3,594,080 · 4,107,520 · 4,620,960 · 5,134,400

Sums & aliquot sequence

As a sum of two squares: 28² + 716² = 452² + 556²

As consecutive integers: 102,686 + 102,687 + 102,688 + 102,689 + 102,690 7,991 + 7,992 + … + 8,054 1,445 + 1,446 + … + 1,764

Aliquot sequence: 513,440 → 699,940 → 791,900 → 926,740 → 1,019,456 → 1,124,812 → 1,026,484 → 832,016 → 795,484 → 616,724 → 462,550 → 509,486 → 258,394 → 129,200 → 216,760 → 271,040 → 539,728 — unresolved within range

Continued fraction of √n

√513,440 = [716; (1, 1, 4, 1, 3, 1, 2, 1, 1, 7, 5, 1, 6, 2, 1, 2, 1, 8, 4, 2, 1, 1, 1, 4, …)]

Representations

In words: five hundred thirteen thousand four hundred forty
Ordinal: 513440th
Binary: 1111101010110100000
Octal: 1752640
Hexadecimal: 0x7D5A0
Base64: B9Wg
One's complement: 4,294,453,855 (32-bit)
Scientific notation: 5.1344 × 10⁵
As a duration: 513,440 s = 5 days, 22 hours, 37 minutes, 20 seconds

In other bases

ternary (3) 222002022022

quaternary (4) 1331112200

quinary (5) 112412230

senary (6) 15001012

septenary (7) 4235624

nonary (9) 862268

undecimal (11) 320834

duodecimal (12) 209168

tridecimal (13) 14c915

tetradecimal (14) d5184

pentadecimal (15) a21e5

Palindromic in base 9

As an angle

513,440° = 1,426 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φιγυμʹ
Chinese: 五十一萬三千四百四十
Chinese (financial): 伍拾壹萬參仟肆佰肆拾

In other modern scripts

Eastern Arabic ٥١٣٤٤٠ Devanagari ५१३४४० Bengali ৫১৩৪৪০ Tamil ௫௧௩௪௪௦ Thai ๕๑๓๔๔๐ Tibetan ༥༡༣༤༤༠ Khmer ៥១៣៤៤០ Lao ໕໑໓໔໔໐ Burmese ၅၁၃၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513440, here are decompositions:

13 + 513427 = 513440
43 + 513397 = 513440
73 + 513367 = 513440
127 + 513313 = 513440
157 + 513283 = 513440
163 + 513277 = 513440
271 + 513169 = 513440
283 + 513157 = 513440

Showing the first eight; more decompositions exist.

Hex color

#07D5A0

RGB(7, 213, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.160.

Address: 0.7.213.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.213.160

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 513,440 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 US513,440 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 513440 first appears in π at position 324,355 of the decimal expansion (the 324,355ordinal-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 513440 on Pi Search ↗