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13036016 = 247239487
BaseRepresentation
bin110001101110…
…100111110000
3220112022001102
4301232213300
511314123031
61143223532
7215542610
oct61564760
926468042
1013036016
1173a4174
124447ba8
132915726
141a34a40
1512277cb
hexc6e9f0

13036016 has 40 divisors (see below), whose sum is σ = 29045760. Its totient is φ = 5552064.

The previous prime is 13036013. The next prime is 13036021. The reversal of 13036016 is 61063031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13036013) 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 7 ways as a sum of consecutive naturals, for example, 26525 + ... + 27011.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 213036016 is an apocalyptic number.

13036016 is a gapful number since it is divisible by the number (16) 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 13036016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522880).

13036016 is an abundant number, since it is smaller than the sum of its proper divisors (16009744).

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

13036016 is a wasteful number, since it uses less digits than its factorization.

13036016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 13036016 is about 3610.5423415326. The cubic root of 13036016 is about 235.3504112955.

Adding to 13036016 its reverse (61063031), we get a palindrome (74099047).

The spelling of 13036016 in words is "thirteen million, thirty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 487 956 974 1673 1912 1948 3346 3409 3824 3896 6692 6818 7792 13384 13636 26768 27272 54544 116393 232786 465572 814751 931144 1629502 1862288 3259004 6518008 13036016