Search a number
-
+
10381957 is a prime number
BaseRepresentation
bin100111100110…
…101010000101
3201112110100221
4213212222011
510124210312
61010304341
7154150045
oct47465205
921473327
1010381957
115951133
1235880b1
1321c6691
141543725
15da1207
hex9e6a85

10381957 has 2 divisors, whose sum is σ = 10381958. Its totient is φ = 10381956.

The previous prime is 10381949. The next prime is 10381991. The reversal of 10381957 is 75918301.

It is a happy number.

10381957 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 (10381991) can be obtained adding 10381957 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 231361 = 3186^2 + 481^2 .

It is a cyclic number.

It is not a de Polignac number, because 10381957 - 23 = 10381949 is a prime.

It is a super-2 number, since 2×103819572 = 215570062299698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10381907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5190978 + 5190979.

It is an arithmetic number, because the mean of its divisors is an integer number (5190979).

Almost surely, 210381957 is an apocalyptic number.

It is an amenable number.

10381957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10381957 is an equidigital number, since it uses as much as digits as its factorization.

10381957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 10381957 is about 3222.1044365445. The cubic root of 10381957 is about 218.1522727617.

The spelling of 10381957 in words is "ten million, three hundred eighty-one thousand, nine hundred fifty-seven".