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460,013

460,013 is a prime, odd.

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.).

460,013 (four hundred sixty thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x704ED.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
310,064
Square (n²)
211,611,960,169
Cube (n³)
97,344,252,633,222,197
Divisor count
2
σ(n) — sum of divisors
460,014
φ(n) — Euler's totient
460,012

Primality

460,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 460013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 460,013)
1 × 460013
First multiples
460,013 · 920,026 (double) · 1,380,039 · 1,840,052 · 2,300,065 · 2,760,078 · 3,220,091 · 3,680,104 · 4,140,117 · 4,600,130

Sums & aliquot sequence

As a sum of two squares: 413² + 538²
As consecutive integers: 230,006 + 230,007

Continued fraction of √n

√460,013 = [678; (4, 8, 5, 1, 2, 2, 1, 15, 1, 1, 1, 3, 1, 2, 1, 10, 4, 1, 10, 2, 2, 5, 2, 1, …)]

Representations

In words
four hundred sixty thousand thirteen
Ordinal
460013th
Binary
1110000010011101101
Octal
1602355
Hexadecimal
0x704ED
Base64
BwTt
One's complement
4,294,507,282 (32-bit)
Scientific notation
4.60013 × 10⁵
As a duration
460,013 s = 5 days, 7 hours, 46 minutes, 53 seconds
In other bases
ternary (3) 212101000112
quaternary (4) 1300103231
quinary (5) 104210023
senary (6) 13505405
septenary (7) 3624101
nonary (9) 771015
undecimal (11) 294684
duodecimal (12) 1a2265
tridecimal (13) 1314c8
tetradecimal (14) bd901
pentadecimal (15) 91478

As an angle

460,013° = 1,277 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υξιγʹ
Chinese
四十六萬零一十三
Chinese (financial)
肆拾陸萬零壹拾參
In other modern scripts
Eastern Arabic ٤٦٠٠١٣ Devanagari ४६००१३ Bengali ৪৬০০১৩ Tamil ௪௬௦௦௧௩ Thai ๔๖๐๐๑๓ Tibetan ༤༦༠༠༡༣ Khmer ៤៦០០១៣ Lao ໔໖໐໐໑໓ Burmese ၄၆၀၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0704ED
RGB(7, 4, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.4.237.

Address
0.7.4.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.4.237

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 460,013 and was likely granted around 1891.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.