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13242312 = 2333101607
BaseRepresentation
bin110010100000…
…111111001000
3220220210001000
4302200333020
511342223222
61151455000
7220362216
oct62407710
926823030
1013242312
117525166
124527460
1329885b5
141a89cb6
1512689ac
hexca0fc8

13242312 has 64 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 4363200.

The previous prime is 13242293. The next prime is 13242329. The reversal of 13242312 is 21324231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21513 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 213242312 is an apocalyptic number.

13242312 is a gapful number since it is divisible by the number (12) 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 13242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

13242312 is an abundant number, since it is smaller than the sum of its proper divisors (23967288).

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

13242312 is a wasteful number, since it uses less digits than its factorization.

13242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13242312 is about 3638.9987633963. The cubic root of 13242312 is about 236.5853991510.

Adding to 13242312 its reverse (21324231), we get a palindrome (34566543).

It can be divided in two parts, 1324231 and 2, that multiplied together give a palindrome (2648462).

The spelling of 13242312 in words is "thirteen million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 607 808 909 1212 1214 1818 1821 2424 2428 2727 3636 3642 4856 5454 5463 7272 7284 10908 10926 14568 16389 21816 21852 32778 43704 61307 65556 122614 131112 183921 245228 367842 490456 551763 735684 1103526 1471368 1655289 2207052 3310578 4414104 6621156 13242312