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10557393 = 372116529
BaseRepresentation
bin101000010001…
…011111010001
3201212101000120
4220101133101
510200314033
61014140453
7155510400
oct50213721
921771016
1010557393
115a60a20
123651729
1322584a2
14158b637
15dd81b3
hexa117d1

10557393 has 24 divisors (see below), whose sum is σ = 17866080. Its totient is φ = 5483520.

The previous prime is 10557373. The next prime is 10557409. The reversal of 10557393 is 39375501.

It is not a de Polignac number, because 10557393 - 214 = 10541009 is a prime.

It is a super-2 number, since 2×105573932 = 222917093912898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10557373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (744420).

Almost surely, 210557393 is an apocalyptic number.

It is an amenable number.

10557393 is a deficient number, since it is larger than the sum of its proper divisors (7308687).

10557393 is a wasteful number, since it uses less digits than its factorization.

10557393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 10557393 is about 3249.2142126982. The cubic root of 10557393 is about 219.3742064565.

It can be divided in two parts, 1055 and 7393, that added together give a palindrome (8448).

The spelling of 10557393 in words is "ten million, five hundred fifty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 6529 19587 45703 71819 137109 215457 319921 502733 959763 1508199 3519131 10557393