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130305 = 3571773
BaseRepresentation
bin11111110100000001
320121202010
4133310001
513132210
62443133
71051620
oct376401
9217663
10130305
118999a
12634a9
1347406
14356b7
1528920
hex1fd01

130305 has 32 divisors (see below), whose sum is σ = 255744. Its totient is φ = 55296.

The previous prime is 130303. The next prime is 130307. The reversal of 130305 is 503031.

130305 = T70 + T71 + ... + T103.

It is a happy number.

130305 is a nontrivial binomial coefficient, being equal to C(511, 2).

It is an interprime number because it is at equal distance from previous prime (130303) and next prime (130307).

It is not a de Polignac number, because 130305 - 21 = 130303 is a prime.

It is an Ulam number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2130305 is an apocalyptic number.

130305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130305 is the 510-th triangular number.

It is an amenable number.

130305 is a deficient number, since it is larger than the sum of its proper divisors (125439).

130305 is a wasteful number, since it uses less digits than its factorization.

130305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 130305 is about 360.9778386550. The cubic root of 130305 is about 50.6975563792.

Adding to 130305 its reverse (503031), we get a palindrome (633336).

It can be divided in two parts, 130 and 305, that added together give a triangular number (435 = T29).

The spelling of 130305 in words is "one hundred thirty thousand, three hundred five".

Divisors: 1 3 5 7 15 17 21 35 51 73 85 105 119 219 255 357 365 511 595 1095 1241 1533 1785 2555 3723 6205 7665 8687 18615 26061 43435 130305