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513,890

513,890 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.).

513,890 (five hundred thirteen thousand eight hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 13 × 59 × 67. Its proper divisors sum to 514,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D762.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
98,315
Square (n²)
264,082,932,100
Cube (n³)
135,709,577,976,869,000
Divisor count
32
σ(n) — sum of divisors
1,028,160
φ(n) — Euler's totient
183,744
Sum of prime factors
146

Primality

Prime factorization: 2 × 5 × 13 × 59 × 67

Nearest primes: 513,881 (−9) · 513,899 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 13 · 26 · 59 · 65 · 67 · 118 · 130 · 134 · 295 · 335 · 590 · 670 · 767 · 871 · 1534 · 1742 · 3835 · 3953 · 4355 · 7670 · 7906 · 8710 · 19765 · 39530 · 51389 · 102778 · 256945 (half) · 513890
Aliquot sum (sum of proper divisors): 514,270
Factor pairs (a × b = 513,890)
1 × 513890
2 × 256945
5 × 102778
10 × 51389
13 × 39530
26 × 19765
59 × 8710
65 × 7906
67 × 7670
118 × 4355
130 × 3953
134 × 3835
295 × 1742
335 × 1534
590 × 871
670 × 767
First multiples
513,890 · 1,027,780 (double) · 1,541,670 · 2,055,560 · 2,569,450 · 3,083,340 · 3,597,230 · 4,111,120 · 4,625,010 · 5,138,900

Sums & aliquot sequence

As consecutive integers: 128,471 + 128,472 + 128,473 + 128,474 102,776 + 102,777 + 102,778 + 102,779 + 102,780 39,524 + 39,525 + … + 39,536 25,685 + 25,686 + … + 25,704
Aliquot sequence: 513,890 514,270 411,434 242,074 172,934 86,470 69,194 38,266 23,456 22,786 11,396 14,140 20,132 20,188 21,308 21,364 22,526 — unresolved within range

Continued fraction of √n

√513,890 = [716; (1, 6, 4, 1, 6, 1, 2, 2, 1, 11, 6, 1, 3, 2, 3, 3, 1, 2, 7, 2, 1, 1, 2, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand eight hundred ninety
Ordinal
513890th
Binary
1111101011101100010
Octal
1753542
Hexadecimal
0x7D762
Base64
B9di
One's complement
4,294,453,405 (32-bit)
Scientific notation
5.1389 × 10⁵
As a duration
513,890 s = 5 days, 22 hours, 44 minutes, 50 seconds
In other bases
ternary (3) 222002220222
quaternary (4) 1331131202
quinary (5) 112421030
senary (6) 15003042
septenary (7) 4240136
nonary (9) 862828
undecimal (11) 321103
duodecimal (12) 209482
tridecimal (13) 14cba0
tetradecimal (14) d53c6
pentadecimal (15) a23e5

As an angle

513,890° = 1,427 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φιγωϟʹ
Chinese
五十一萬三千八百九十
Chinese (financial)
伍拾壹萬參仟捌佰玖拾
In other modern scripts
Eastern Arabic ٥١٣٨٩٠ Devanagari ५१३८९० Bengali ৫১৩৮৯০ Tamil ௫௧௩௮௯௦ Thai ๕๑๓๘๙๐ Tibetan ༥༡༣༨༩༠ Khmer ៥១៣៨៩០ Lao ໕໑໓໘໙໐ Burmese ၅၁၃၈၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513890, here are decompositions:

  • 19 + 513871 = 513890
  • 61 + 513829 = 513890
  • 109 + 513781 = 513890
  • 151 + 513739 = 513890
  • 163 + 513727 = 513890
  • 193 + 513697 = 513890
  • 199 + 513691 = 513890
  • 211 + 513679 = 513890

Showing the first eight; more decompositions exist.

Hex color
#07D762
RGB(7, 215, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.98.

Address
0.7.215.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.98

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 513,890 and was likely granted around 1894.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.