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10352493 = 3261109173
BaseRepresentation
bin100111011111…
…011101101101
3201110221221200
4213133131231
510122234433
61005520113
7153665124
oct47373555
921427850
1010352493
115930a88
123573039
1321b6148
141536abb
15d97613
hex9df76d

10352493 has 24 divisors (see below), whose sum is σ = 15426840. Its totient is φ = 6687360.

The previous prime is 10352491. The next prime is 10352501. The reversal of 10352493 is 39425301.

It can be written as a sum of positive squares in 4 ways, for example, as 1814409 + 8538084 = 1347^2 + 2922^2 .

It is not a de Polignac number, because 10352493 - 21 = 10352491 is a prime.

It is a super-2 number, since 2×103524932 = 214348222630098, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59755 + ... + 59927.

It is an arithmetic number, because the mean of its divisors is an integer number (642785).

Almost surely, 210352493 is an apocalyptic number.

It is an amenable number.

10352493 is a deficient number, since it is larger than the sum of its proper divisors (5074347).

10352493 is a wasteful number, since it uses less digits than its factorization.

10352493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10352493 is about 3217.5290208481. The cubic root of 10352493 is about 217.9457051329.

Adding to 10352493 its reverse (39425301), we get a palindrome (49777794).

The spelling of 10352493 in words is "ten million, three hundred fifty-two thousand, four hundred ninety-three".

Divisors: 1 3 9 61 109 173 183 327 519 549 981 1557 6649 10553 18857 19947 31659 56571 59841 94977 169713 1150277 3450831 10352493