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12953041 = 19253677
BaseRepresentation
bin110001011010…
…010111010001
3220101002020021
4301122113101
511303444131
61141343441
7215045653
oct61322721
926332207
1012953041
1173478a2
124407b81
1328b6a2a
141a126d3
15120ce11
hexc5a5d1

12953041 has 12 divisors (see below), whose sum is σ = 13949172. Its totient is φ = 12021984.

The previous prime is 12952999. The next prime is 12953051. The reversal of 12953041 is 14035921.

12953041 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 2 ways, for example, as 11696400 + 1256641 = 3420^2 + 1121^2 .

It is not a de Polignac number, because 12953041 - 217 = 12821969 is a prime.

It is a super-2 number, since 2×129530412 = 335562542295362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12952997 and 12953015.

It is not an unprimeable number, because it can be changed into a prime (12953051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18795 + ... + 19471.

It is an arithmetic number, because the mean of its divisors is an integer number (1162431).

Almost surely, 212953041 is an apocalyptic number.

It is an amenable number.

12953041 is a deficient number, since it is larger than the sum of its proper divisors (996131).

12953041 is an equidigital number, since it uses as much as digits as its factorization.

12953041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12953041 is about 3599.0333424407. The cubic root of 12953041 is about 234.8500084059.

Adding to 12953041 its reverse (14035921), we get a palindrome (26988962).

The spelling of 12953041 in words is "twelve million, nine hundred fifty-three thousand, forty-one".

Divisors: 1 19 53 361 677 1007 12863 19133 35881 244397 681739 12953041