Search a number
-
+
10146349 is a prime number
BaseRepresentation
bin100110101101…
…001000101101
3201002111011201
4212231020231
510044140344
61001245501
7152146123
oct46551055
921074151
1010146349
115800114
123493891
132143375
1414c1913
15d564d4
hex9ad22d

10146349 has 2 divisors, whose sum is σ = 10146350. Its totient is φ = 10146348.

The previous prime is 10146347. The next prime is 10146377. The reversal of 10146349 is 94364101.

10146349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10146377) can be obtained adding 10146349 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7941124 + 2205225 = 2818^2 + 1485^2 .

It is a cyclic number.

It is not a de Polignac number, because 10146349 - 21 = 10146347 is a prime.

Together with 10146347, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10146347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5073174 + 5073175.

It is an arithmetic number, because the mean of its divisors is an integer number (5073175).

Almost surely, 210146349 is an apocalyptic number.

It is an amenable number.

10146349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10146349 is an equidigital number, since it uses as much as digits as its factorization.

10146349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10146349 is about 3185.3334205386. Note that the first 3 decimals coincide. The cubic root of 10146349 is about 216.4893810784.

The spelling of 10146349 in words is "ten million, one hundred forty-six thousand, three hundred forty-nine".