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13526325 = 335229691
BaseRepresentation
bin110011100110…
…010100110101
3221110012122000
4303212110311
511430320300
61201525513
7222654231
oct63462465
927405560
1013526325
1176a958a
124643899
132a57957
141b215c1
1512c2c00
hexce6535

13526325 has 48 divisors (see below), whose sum is σ = 25742400. Its totient is φ = 6955200.

The previous prime is 13526297. The next prime is 13526327. The reversal of 13526325 is 52362531.

13526325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13526325 - 27 = 13526197 is a prime.

It is a super-2 number, since 2×135263252 = 365922936011250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13526327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19230 + ... + 19920.

It is an arithmetic number, because the mean of its divisors is an integer number (536300).

Almost surely, 213526325 is an apocalyptic number.

13526325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13526325 is a deficient number, since it is larger than the sum of its proper divisors (12216075).

13526325 is a wasteful number, since it uses less digits than its factorization.

13526325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 13526325 is about 3677.8152482146. The cubic root of 13526325 is about 238.2648289051.

Adding to 13526325 its reverse (52362531), we get a palindrome (65888856).

The spelling of 13526325 in words is "thirteen million, five hundred twenty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 691 725 783 1305 2073 2175 3455 3915 6219 6525 10365 17275 18657 19575 20039 31095 51825 60117 93285 100195 155475 180351 300585 466425 500975 541053 901755 1502925 2705265 4508775 13526325