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13034025 = 3252531093
BaseRepresentation
bin110001101110…
…001000101001
3220112012022200
4301232020221
511314042100
61143210413
7215534034
oct61561051
926465280
1013034025
1173a2724
124446a09
132914854
141a3401b
151226e00
hexc6e229

13034025 has 36 divisors (see below), whose sum is σ = 23807628. Its totient is φ = 6814080.

The previous prime is 13034011. The next prime is 13034033. The reversal of 13034025 is 52043031.

It can be written as a sum of positive squares in 6 ways, for example, as 1172889 + 11861136 = 1083^2 + 3444^2 .

It is not a de Polignac number, because 13034025 - 24 = 13034009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13033989 and 13034007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11379 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (661323).

Almost surely, 213034025 is an apocalyptic number.

13034025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13034025 is a deficient number, since it is larger than the sum of its proper divisors (10773603).

13034025 is a wasteful number, since it uses less digits than its factorization.

13034025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

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

The square root of 13034025 is about 3610.2666106536. The cubic root of 13034025 is about 235.3384289402.

Adding to 13034025 its reverse (52043031), we get a palindrome (65077056).

The spelling of 13034025 in words is "thirteen million, thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1093 1325 2385 3279 3975 5465 9837 11925 16395 27325 49185 57929 81975 173787 245925 289645 521361 868935 1448225 2606805 4344675 13034025