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13034833 = 72299173
BaseRepresentation
bin110001101110…
…010101010001
3220112020102121
4301232111101
511314103313
61143214241
7215536300
oct61562521
926466377
1013034833
1173a3299
124447381
132915026
141a34437
15122728d
hexc6e551

13034833 has 12 divisors (see below), whose sum is σ = 15687540. Its totient is φ = 10786272.

The previous prime is 13034831. The next prime is 13034837. The reversal of 13034833 is 33843031.

13034833 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 2 ways, for example, as 2845969 + 10188864 = 1687^2 + 3192^2 .

It is not a de Polignac number, because 13034833 - 21 = 13034831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13034798 and 13034807.

It is not an unprimeable number, because it can be changed into a prime (13034831) 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, 3166 + ... + 6007.

It is an arithmetic number, because the mean of its divisors is an integer number (1307295).

Almost surely, 213034833 is an apocalyptic number.

It is an amenable number.

13034833 is a deficient number, since it is larger than the sum of its proper divisors (2652707).

13034833 is an equidigital number, since it uses as much as digits as its factorization.

13034833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 13034833 is about 3610.3785120123. The cubic root of 13034833 is about 235.3432918412.

Adding to 13034833 its reverse (33843031), we get a palindrome (46877864).

The spelling of 13034833 in words is "thirteen million, thirty-four thousand, eight hundred thirty-three".

Divisors: 1 7 29 49 203 1421 9173 64211 266017 449477 1862119 13034833