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13065420 = 2235713067
BaseRepresentation
bin110001110101…
…110011001100
3220120210101110
4301311303030
511321043140
61144012020
7216024414
oct61656314
926523343
1013065420
117414275
124461010
132925c24
141a41644
151231380
hexc75ccc

13065420 has 48 divisors (see below), whose sum is σ = 37110528. Its totient is φ = 3433920.

The previous prime is 13065419. The next prime is 13065427. The reversal of 13065420 is 2456031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13065427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2727 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (773136).

Almost surely, 213065420 is an apocalyptic number.

13065420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18555264).

13065420 is an abundant number, since it is smaller than the sum of its proper divisors (24045108).

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

13065420 is a wasteful number, since it uses less digits than its factorization.

13065420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13065420 is about 3614.6120123742. The cubic root of 13065420 is about 235.5272303203.

The spelling of 13065420 in words is "thirteen million, sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 3067 4260 6134 9201 12268 15335 18402 30670 36804 46005 61340 92010 184020 217757 435514 653271 871028 1088785 1306542 2177570 2613084 3266355 4355140 6532710 13065420