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13240305 = 3251321741
BaseRepresentation
bin110010100000…
…011111110001
3220220200021200
4302200133301
511342142210
61151441413
7220353321
oct62403761
926820250
1013240305
117523701
124526269
132987700
141a89281
1512680c0
hexca07f1

13240305 has 36 divisors (see below), whose sum is σ = 24865308. Its totient is φ = 6514560.

The previous prime is 13240303. The next prime is 13240309. The reversal of 13240305 is 50304231.

13240305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7306209 + 5934096 = 2703^2 + 2436^2 .

It is not a de Polignac number, because 13240305 - 21 = 13240303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6735 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (690703).

Almost surely, 213240305 is an apocalyptic number.

13240305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13240305 is a deficient number, since it is larger than the sum of its proper divisors (11625003).

13240305 is a wasteful number, since it uses less digits than its factorization.

13240305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13240305 is about 3638.7229902811. The cubic root of 13240305 is about 236.5734462813.

Adding to 13240305 its reverse (50304231), we get a palindrome (63544536).

The spelling of 13240305 in words is "thirteen million, two hundred forty thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 1741 2535 5223 7605 8705 15669 22633 26115 67899 78345 113165 203697 294229 339495 882687 1018485 1471145 2648061 4413435 13240305