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13345829 = 72922267
BaseRepresentation
bin110010111010…
…010000100101
3221010001000222
4302322100211
511404031304
61154014125
7221303060
oct62722045
927101028
1013345829
117595a12
124577345
1329c3753
141ab58d7
1512894be
hexcba425

13345829 has 12 divisors (see below), whose sum is σ = 15803424. Its totient is φ = 11039952.

The previous prime is 13345823. The next prime is 13345831. The reversal of 13345829 is 92854331.

It is not a de Polignac number, because 13345829 - 28 = 13345573 is a prime.

It is a super-3 number, since 3×133458293 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345823) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4754 + ... + 7020.

It is an arithmetic number, because the mean of its divisors is an integer number (1316952).

Almost surely, 213345829 is an apocalyptic number.

It is an amenable number.

13345829 is a deficient number, since it is larger than the sum of its proper divisors (2457595).

13345829 is an equidigital number, since it uses as much as digits as its factorization.

13345829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2303 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 13345829 is about 3653.1943556291. The cubic root of 13345829 is about 237.2002734257.

The spelling of 13345829 in words is "thirteen million, three hundred forty-five thousand, eight hundred twenty-nine".

Divisors: 1 7 29 203 841 2267 5887 15869 65743 460201 1906547 13345829