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10090395 = 3257103311
BaseRepresentation
bin100110011111…
…011110011011
3200222122102100
4212133132123
510040343040
61000134443
7151524030
oct46373633
920878370
1010090395
115772077
123467423
132123a63
1414a9387
15d44b30
hex99f79b

10090395 has 48 divisors (see below), whose sum is σ = 20247552. Its totient is φ = 4553280.

The previous prime is 10090391. The next prime is 10090403. The reversal of 10090395 is 59309001.

It is not a de Polignac number, because 10090395 - 22 = 10090391 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10090391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32290 + ... + 32600.

It is an arithmetic number, because the mean of its divisors is an integer number (421824).

Almost surely, 210090395 is an apocalyptic number.

10090395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10090395 is an abundant number, since it is smaller than the sum of its proper divisors (10157157).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10090395 is a wasteful number, since it uses less digits than its factorization.

10090395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

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

The square root of 10090395 is about 3176.5382100645. The cubic root of 10090395 is about 216.0906897983.

Adding to 10090395 its reverse (59309001), we get a palindrome (69399396).

The spelling of 10090395 in words is "ten million, ninety thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 311 315 515 721 927 933 1545 1555 2163 2177 2799 3605 4635 4665 6489 6531 10815 10885 13995 19593 32033 32445 32655 96099 97965 160165 224231 288297 480495 672693 1121155 1441485 2018079 3363465 10090395