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13281324 = 2237433677
BaseRepresentation
bin110010101010…
…100000101100
3220222202112220
4302222200230
511400000244
61152355340
7220614030
oct62524054
926882486
1013281324
117551501
124545b50
1329a0294
141a9a1c0
151275319
hexcaa82c

13281324 has 48 divisors (see below), whose sum is σ = 36250368. Its totient is φ = 3705408.

The previous prime is 13281293. The next prime is 13281329. The reversal of 13281324 is 42318231.

It is a junction number, because it is equal to n+sod(n) for n = 13281294 and 13281303.

It is not an unprimeable number, because it can be changed into a prime (13281329) 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, 1774 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (755216).

Almost surely, 213281324 is an apocalyptic number.

13281324 is a gapful number since it is divisible by the number (14) 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 13281324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125184).

13281324 is an abundant number, since it is smaller than the sum of its proper divisors (22969044).

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

13281324 is a wasteful number, since it uses less digits than its factorization.

13281324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3732 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13281324 is about 3644.3550869804. The cubic root of 13281324 is about 236.8174991253.

Adding to 13281324 its reverse (42318231), we get a palindrome (55599555).

The spelling of 13281324 in words is "thirteen million, two hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 3677 7354 11031 14708 22062 25739 44124 51478 77217 102956 154434 158111 308868 316222 474333 632444 948666 1106777 1897332 2213554 3320331 4427108 6640662 13281324