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13065468 = 22313611373
BaseRepresentation
bin110001110101…
…110011111100
3220120210110020
4301311303330
511321043333
61144012140
7216024513
oct61656374
926523406
1013065468
117414309
124461050
132925c60
141a4167a
1512313b3
hexc75cfc

13065468 has 48 divisors (see below), whose sum is σ = 33393696. Its totient is φ = 3951360.

The previous prime is 13065463. The next prime is 13065473. The reversal of 13065468 is 86456031.

It is an interprime number because it is at equal distance from previous prime (13065463) and next prime (13065473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830 + ... + 10202.

It is an arithmetic number, because the mean of its divisors is an integer number (695702).

Almost surely, 213065468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696848).

13065468 is an abundant number, since it is smaller than the sum of its proper divisors (20328228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13065468 is a wasteful number, since it uses less digits than its factorization.

13065468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 13065468 is about 3614.6186520849. The cubic root of 13065468 is about 235.5275187482.

The spelling of 13065468 in words is "thirteen million, sixty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1373 1586 2379 2746 3172 4119 4758 5492 8238 9516 16476 17849 35698 53547 71396 83753 107094 167506 214188 251259 335012 502518 1005036 1088789 2177578 3266367 4355156 6532734 13065468