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10379357 is a prime number
BaseRepresentation
bin100111100110…
…000001011101
3201112022210122
4213212001131
510124114412
61010244325
7154136342
oct47460135
921468718
1010379357
11594a18a
1235866a5
1321c5441
1415427c9
15da0572
hex9e605d

10379357 has 2 divisors, whose sum is σ = 10379358. Its totient is φ = 10379356.

The previous prime is 10379353. The next prime is 10379381. The reversal of 10379357 is 75397301.

10379357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8826841 + 1552516 = 2971^2 + 1246^2 .

It is a cyclic number.

It is not a de Polignac number, because 10379357 - 22 = 10379353 is a prime.

It is a Chen prime.

It is equal to p688076 and since 10379357 and 688076 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10379353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5189678 + 5189679.

It is an arithmetic number, because the mean of its divisors is an integer number (5189679).

Almost surely, 210379357 is an apocalyptic number.

It is an amenable number.

10379357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10379357 is an equidigital number, since it uses as much as digits as its factorization.

10379357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 10379357 is about 3221.7009482570. The cubic root of 10379357 is about 218.1340602909.

The spelling of 10379357 in words is "ten million, three hundred seventy-nine thousand, three hundred fifty-seven".