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10405317 = 313479557
BaseRepresentation
bin100111101100…
…010111000101
3201120122102010
4213230113011
510130432232
61011004433
7154305126
oct47542705
921518363
1010405317
11596773a
123599719
1322041c0
14154c04d
15da80cc
hex9ec5c5

10405317 has 16 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 6378432.

The previous prime is 10405289. The next prime is 10405321. The reversal of 10405317 is 71350401.

10405317 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10405317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405293 and 10405302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405337) 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 in 15 ways as a sum of consecutive naturals, for example, 18403 + ... + 18959.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 210405317 is an apocalyptic number.

It is an amenable number.

10405317 is a deficient number, since it is larger than the sum of its proper divisors (4593723).

10405317 is a wasteful number, since it uses less digits than its factorization.

10405317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10405317 is about 3225.7273598368. The cubic root of 10405317 is about 218.3157685822.

Adding to 10405317 its reverse (71350401), we get a palindrome (81755718).

The spelling of 10405317 in words is "ten million, four hundred five thousand, three hundred seventeen".

Divisors: 1 3 13 39 479 557 1437 1671 6227 7241 18681 21723 266803 800409 3468439 10405317