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13131344 = 2417232099
BaseRepresentation
bin110010000101…
…111001010000
3220201010211002
4302011321100
511330200334
61145241132
7216420542
oct62057120
926633732
1013131344
117459856
1244931a8
132949c35
141a5b692
151245b7e
hexc85e50

13131344 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 5907968.

The previous prime is 13131343. The next prime is 13131359. The reversal of 13131344 is 44313131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5207 + ... + 7305.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 213131344 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 13131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

13131344 is an abundant number, since it is smaller than the sum of its proper divisors (14991856).

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

13131344 is a wasteful number, since it uses less digits than its factorization.

13131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2141 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 13131344 is about 3623.7196359542. The cubic root of 13131344 is about 235.9226980378.

Adding to 13131344 its reverse (44313131), we get a palindrome (57444475).

The spelling of 13131344 in words is "thirteen million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 2099 3128 4198 6256 8396 16792 33584 35683 48277 71366 96554 142732 193108 285464 386216 570928 772432 820709 1641418 3282836 6565672 13131344