Live analysis

513,120

513,120 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.).

513,120 (five hundred thirteen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 1,069. Its proper divisors sum to 1,104,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D460.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

513,108 513,109 513,110 513,111 513,112 513,113 513,114 513,115 513,116 513,117 513,118 513,119 513,120 513,121 513,122 513,123 513,124 513,125 513,126 513,127 513,128 513,129 513,130 513,131 513,132

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 21,315
Square (n²): 263,292,134,400
Cube (n³): 135,100,460,003,328,000
Divisor count: 48
σ(n) — sum of divisors: 1,617,840
φ(n) — Euler's totient: 136,704
Sum of prime factors: 1,087

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 1069

Nearest primes: 513,109 (−11) · 513,131 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 1069 · 2138 · 3207 · 4276 · 5345 · 6414 · 8552 · 10690 · 12828 · 16035 · 17104 · 21380 · 25656 · 32070 · 34208 · 42760 · 51312 · 64140 · 85520 · 102624 · 128280 · 171040 · 256560 (half) · 513120

Aliquot sum (sum of proper divisors): 1,104,720

Factor pairs (a × b = 513,120)

1 × 513120

2 × 256560

3 × 171040

4 × 128280

5 × 102624

6 × 85520

8 × 64140

10 × 51312

12 × 42760

15 × 34208

16 × 32070

20 × 25656

24 × 21380

30 × 17104

32 × 16035

40 × 12828

48 × 10690

60 × 8552

80 × 6414

96 × 5345

120 × 4276

160 × 3207

240 × 2138

480 × 1069

First multiples

513,120 · 1,026,240 (double) · 1,539,360 · 2,052,480 · 2,565,600 · 3,078,720 · 3,591,840 · 4,104,960 · 4,618,080 · 5,131,200

Sums & aliquot sequence

As consecutive integers: 171,039 + 171,040 + 171,041 102,622 + 102,623 + 102,624 + 102,625 + 102,626 34,201 + 34,202 + … + 34,215 7,986 + 7,987 + … + 8,049

Aliquot sequence: 513,120 → 1,104,720 → 2,320,656 → 4,137,264 → 8,009,776 → 7,596,368 → 8,548,432 → 8,226,288 → 18,088,000 → 38,970,560 → 54,456,736 → 58,398,944 → 63,338,224 → 59,620,920 → 119,242,200 → 362,869,800 → 783,351,480 — unresolved within range

Continued fraction of √n

√513,120 = [716; (3, 11, 1, 1, 36, 4, 1, 2, 5, 1, 1, 1, 3, 8, 4, 1, 12, 9, 1, 4, 17, 1, 2, 2, …)]

Representations

In words: five hundred thirteen thousand one hundred twenty
Ordinal: 513120th
Binary: 1111101010001100000
Octal: 1752140
Hexadecimal: 0x7D460
Base64: B9Rg
One's complement: 4,294,454,175 (32-bit)
Scientific notation: 5.1312 × 10⁵
As a duration: 513,120 s = 5 days, 22 hours, 32 minutes

In other bases

ternary (3) 222001212110

quaternary (4) 1331101200

quinary (5) 112404440

senary (6) 14555320

septenary (7) 4234656

nonary (9) 861773

undecimal (11) 320573

duodecimal (12) 208b40

tridecimal (13) 14c72a

tetradecimal (14) d4dd6

pentadecimal (15) a2080

As an angle

513,120° = 1,425 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵φιγρκʹ
Chinese: 五十一萬三千一百二十
Chinese (financial): 伍拾壹萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ٥١٣١٢٠ Devanagari ५१३१२० Bengali ৫১৩১২০ Tamil ௫௧௩௧௨௦ Thai ๕๑๓๑๒๐ Tibetan ༥༡༣༡༢༠ Khmer ៥១៣១២០ Lao ໕໑໓໑໒໐ Burmese ၅၁၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513120, here are decompositions:

11 + 513109 = 513120
17 + 513103 = 513120
19 + 513101 = 513120
37 + 513083 = 513120
53 + 513067 = 513120
61 + 513059 = 513120
67 + 513053 = 513120
73 + 513047 = 513120

Showing the first eight; more decompositions exist.

Hex color

#07D460

RGB(7, 212, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.96.

Address: 0.7.212.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.212.96

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 513,120 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 US513,120 on Google Patents ↗ Look up on USPTO ↗