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13144825 = 5217157197
BaseRepresentation
bin110010001001…
…001011111001
3220201211022101
4302021023321
511331113300
61145423401
7216505051
oct62111371
926654271
1013144825
1174689a1
12449ab61
132953105
141a62561
151249b6a
hexc892f9

13144825 has 24 divisors (see below), whose sum is σ = 17456472. Its totient is φ = 9784320.

The previous prime is 13144823. The next prime is 13144841. The reversal of 13144825 is 52844131.

13144825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 385641 + 12759184 = 621^2 + 3572^2 .

It is not a de Polignac number, because 13144825 - 21 = 13144823 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 13144793 and 13144802.

It is not an unprimeable number, because it can be changed into a prime (13144823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66627 + ... + 66823.

It is an arithmetic number, because the mean of its divisors is an integer number (727353).

Almost surely, 213144825 is an apocalyptic number.

It is an amenable number.

13144825 is a deficient number, since it is larger than the sum of its proper divisors (4311647).

13144825 is a wasteful number, since it uses less digits than its factorization.

13144825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 13144825 is about 3625.5792640625. The cubic root of 13144825 is about 236.0034053420.

Adding to 13144825 its reverse (52844131), we get a palindrome (65988956).

The spelling of 13144825 in words is "thirteen million, one hundred forty-four thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 157 197 425 785 985 2669 3349 3925 4925 13345 16745 30929 66725 83725 154645 525793 773225 2628965 13144825