Search a number
-
+
10105686 = 2325091103
BaseRepresentation
bin100110100011…
…001101010110
3201000102101200
4212203031112
510041340221
61000333330
7151616433
oct46431526
921012350
1010105686
115782608
123474246
13212a9c6
1414b0b8a
15d49426
hex9a3356

10105686 has 24 divisors (see below), whose sum is σ = 21958560. Its totient is φ = 3358896.

The previous prime is 10105661. The next prime is 10105709. The reversal of 10105686 is 68650101.

10105686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8611 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (914940).

Almost surely, 210105686 is an apocalyptic number.

10105686 is an abundant number, since it is smaller than the sum of its proper divisors (11852874).

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

10105686 is a wasteful number, since it uses less digits than its factorization.

10105686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10105686 is about 3178.9441643414. The cubic root of 10105686 is about 216.1997894274.

Adding to 10105686 its reverse (68650101), we get a palindrome (78755787).

The spelling of 10105686 in words is "ten million, one hundred five thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 18 509 1018 1103 1527 2206 3054 3309 4581 6618 9162 9927 19854 561427 1122854 1684281 3368562 5052843 10105686