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10009395 = 3251173277
BaseRepresentation
bin100110001011…
…101100110011
3200211112022100
4212023230303
510030300040
6554311443
7151035624
oct46135463
920745270
1010009395
115717230
123428583
1320c5c26
141487a4b
15d2ab30
hex98bb33

10009395 has 48 divisors (see below), whose sum is σ = 19255392. Its totient is φ = 4769280.

The previous prime is 10009387. The next prime is 10009423. The reversal of 10009395 is 59390001.

10009395 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10009395 - 23 = 10009387 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35997 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (401154).

Almost surely, 210009395 is an apocalyptic number.

10009395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10009395 is a deficient number, since it is larger than the sum of its proper divisors (9245997).

10009395 is a wasteful number, since it uses less digits than its factorization.

10009395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10009395 is about 3163.7627913609. The cubic root of 10009395 is about 215.5109175980.

Adding to 10009395 its reverse (59390001), we get a palindrome (69399396).

It can be divided in two parts, 10009 and 395, that added together give a square (10404 = 1022).

The spelling of 10009395 in words is "ten million, nine thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 165 219 277 365 495 657 803 831 1095 1385 2409 2493 3047 3285 4015 4155 7227 9141 12045 12465 15235 20221 27423 36135 45705 60663 101105 137115 181989 222431 303315 667293 909945 1112155 2001879 3336465 10009395