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10026 = 232557
BaseRepresentation
bin10011100101010
3111202100
42130222
5310101
6114230
741142
oct23452
914670
1010026
117595
125976
134743
143922
152e86
hex272a

10026 has 12 divisors (see below), whose sum is σ = 21762. Its totient is φ = 3336.

The previous prime is 10009. The next prime is 10037. The reversal of 10026 is 62001.

Adding to 10026 its reverse (62001), we get a palindrome (72027).

10026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 225 = 99^2 + 15^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261 + ... + 296.

210026 is an apocalyptic number.

10026 is an abundant number, since it is smaller than the sum of its proper divisors (11736).

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

10026 is a wasteful number, since it uses less digits than its factorization.

10026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10026 is about 100.1299156097. The cubic root of 10026 is about 21.5630025088.

The spelling of 10026 in words is "ten thousand, twenty-six".

Divisors: 1 2 3 6 9 18 557 1114 1671 3342 5013 10026