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10242659 = 723113563
BaseRepresentation
bin100111000100…
…101001100011
3201021101021202
4213010221203
510110231114
61003311415
7153026660
oct47045143
921241252
1010242659
115866509
12351b56b
13217815b
141508a67
15d74cde
hex9c4a63

10242659 has 16 divisors (see below), whose sum is σ = 12344832. Its totient is φ = 8308608.

The previous prime is 10242649. The next prime is 10242671. The reversal of 10242659 is 95624201.

It is a happy number.

10242659 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 10242659 - 212 = 10238563 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10242649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17912 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (771552).

Almost surely, 210242659 is an apocalyptic number.

10242659 is a deficient number, since it is larger than the sum of its proper divisors (2102173).

10242659 is a wasteful number, since it uses less digits than its factorization.

10242659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10242659 is about 3200.4154417825. The cubic root of 10242659 is about 217.1722036292.

It can be divided in two parts, 10242 and 659, that added together give a palindrome (10901).

The spelling of 10242659 in words is "ten million, two hundred forty-two thousand, six hundred fifty-nine".

Divisors: 1 7 23 113 161 563 791 2599 3941 12949 18193 63619 90643 445333 1463237 10242659