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10217493 = 32111317467
BaseRepresentation
bin100110111110…
…100000010101
3201020002202200
4212332200111
510103424433
61002555113
7152563416
oct46764025
921202680
1010217493
115849610
123508a99
132169870
1414dd80d
15d6c613
hex9be815

10217493 has 48 divisors (see below), whose sum is σ = 18398016. Its totient is φ = 5368320.

The previous prime is 10217479. The next prime is 10217521. The reversal of 10217493 is 39471201.

10217493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10217493 - 24 = 10217477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217423) 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, 21646 + ... + 22112.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

It is a vampire number, since it can be written as 14017293 (with its own digits).

Almost surely, 210217493 is an apocalyptic number.

10217493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10217493 is a deficient number, since it is larger than the sum of its proper divisors (8180523).

10217493 is a wasteful number, since it uses less digits than its factorization.

10217493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10217493 is about 3196.4813467311. The cubic root of 10217493 is about 216.9941952336.

Adding to 10217493 its reverse (39471201), we get a palindrome (49688694).

The spelling of 10217493 in words is "ten million, two hundred seventeen thousand, four hundred ninety-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 467 561 663 1287 1401 1683 1989 2431 4203 5137 6071 7293 7939 15411 18213 21879 23817 46233 54639 66781 71451 87329 103207 200343 261987 309621 601029 785961 928863 1135277 3405831 10217493