Search a number
-
+
10361749 is a prime number
BaseRepresentation
bin100111100001…
…101110010101
3201111102122111
4213201232111
510123033444
61010031021
7154034116
oct47415625
921442574
1010361749
115937a32
123578471
1321ba418
14153a20d
15d9a234
hex9e1b95

10361749 has 2 divisors, whose sum is σ = 10361750. Its totient is φ = 10361748.

The previous prime is 10361737. The next prime is 10361759. The reversal of 10361749 is 94716301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6027025 + 4334724 = 2455^2 + 2082^2 .

It is an emirp because it is prime and its reverse (94716301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10361749 - 27 = 10361621 is a prime.

It is a super-3 number, since 3×103617493 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10361749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10361759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5180874 + 5180875.

It is an arithmetic number, because the mean of its divisors is an integer number (5180875).

Almost surely, 210361749 is an apocalyptic number.

It is an amenable number.

10361749 is a deficient number, since it is larger than the sum of its proper divisors (1).

10361749 is an equidigital number, since it uses as much as digits as its factorization.

10361749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 10361749 is about 3218.9670703504. The cubic root of 10361749 is about 218.0106397186.

The spelling of 10361749 in words is "ten million, three hundred sixty-one thousand, seven hundred forty-nine".