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13242368 = 2125361
BaseRepresentation
bin110010100001…
…000000000000
3220220210010002
4302201000000
511342223433
61151455132
7220362326
oct62410000
926823102
1013242368
117525207
1245274a8
132988629
141a89d16
1512689e8
hexca1000

13242368 has 52 divisors (see below), whose sum is σ = 27423468. Its totient is φ = 6389760.

The previous prime is 13242367. The next prime is 13242377. The reversal of 13242368 is 86324231.

It can be written as a sum of positive squares in 2 ways, for example, as 4194304 + 9048064 = 2048^2 + 3008^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13242368.

It is not an unprimeable number, because it can be changed into a prime (13242367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217058 + ... + 217118.

Almost surely, 213242368 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 13242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711734).

13242368 is an abundant number, since it is smaller than the sum of its proper divisors (14181100).

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

13242368 is an frugal number, since it uses more digits than its factorization.

13242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 13242368 is about 3639.0064578124. The cubic root of 13242368 is about 236.5857326467.

Adding to 13242368 its reverse (86324231), we get a palindrome (99566599).

The spelling of 13242368 in words is "thirteen million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 256 424 488 512 848 976 1024 1696 1952 2048 3233 3392 3904 4096 6466 6784 7808 12932 13568 15616 25864 27136 31232 51728 54272 62464 103456 108544 124928 206912 217088 249856 413824 827648 1655296 3310592 6621184 13242368