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13004325 = 3252291993
BaseRepresentation
bin110001100110…
…111000100101
3220110200120200
4301212320211
511312114300
61142421113
7215351325
oct61467045
926420520
1013004325
117382384
124431799
132904189
141a27285
15121d200
hexc66e25

13004325 has 36 divisors (see below), whose sum is σ = 24107460. Its totient is φ = 6693120.

The previous prime is 13004323. The next prime is 13004333. The reversal of 13004325 is 52340031.

13004325 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 1089 + 13003236 = 33^2 + 3606^2 .

It is not a de Polignac number, because 13004325 - 21 = 13004323 is a prime.

It is a super-2 number, since 2×130043252 = 338224937411250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13004298 and 13004307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004323) 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, 5529 + ... + 7521.

Almost surely, 213004325 is an apocalyptic number.

13004325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13004325 is a deficient number, since it is larger than the sum of its proper divisors (11103135).

13004325 is a wasteful number, since it uses less digits than its factorization.

13004325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2030 counting only the distinct ones).

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

The square root of 13004325 is about 3606.1509951748. The cubic root of 13004325 is about 235.1595415797.

Adding to 13004325 its reverse (52340031), we get a palindrome (65344356).

It can be divided in two parts, 1300 and 4325, that added together give a square (5625 = 752).

The spelling of 13004325 in words is "thirteen million, four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 1993 2175 5979 6525 9965 17937 29895 49825 57797 89685 149475 173391 288985 448425 520173 866955 1444925 2600865 4334775 13004325