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13132305 = 325291829
BaseRepresentation
bin110010000110…
…001000010001
3220201012010200
4302012020101
511330213210
61145245413
7216423414
oct62061021
926635120
1013132305
11745a54a
124493869
13294a4c4
141a5bb7b
1512460c0
hexc86211

13132305 has 12 divisors (see below), whose sum is σ = 22762740. Its totient is φ = 7003872.

The previous prime is 13132297. The next prime is 13132307. The reversal of 13132305 is 50323131.

It can be written as a sum of positive squares in 2 ways, for example, as 2556801 + 10575504 = 1599^2 + 3252^2 .

It is not a de Polignac number, because 13132305 - 23 = 13132297 is a prime.

It is a super-2 number, since 2×131323052 = 344914869226050, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13132307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145870 + ... + 145959.

It is an arithmetic number, because the mean of its divisors is an integer number (1896895).

Almost surely, 213132305 is an apocalyptic number.

13132305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13132305 is a deficient number, since it is larger than the sum of its proper divisors (9630435).

13132305 is a wasteful number, since it uses less digits than its factorization.

13132305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291840 (or 291837 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13132305 is about 3623.8522320867. The cubic root of 13132305 is about 235.9284531274.

Adding to 13132305 its reverse (50323131), we get a palindrome (63455436).

The spelling of 13132305 in words is "thirteen million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 291829 875487 1459145 2626461 4377435 13132305