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10382868 = 2232288413
BaseRepresentation
bin100111100110…
…111000010100
3201112111121200
4213212320110
510124222433
61010312500
7154152516
oct47467024
921474550
1010382868
115951891
123588730
1321c6c12
141543bb6
15da1613
hex9e6e14

10382868 has 18 divisors (see below), whose sum is σ = 26245674. Its totient is φ = 3460944.

The previous prime is 10382857. The next prime is 10382887. The reversal of 10382868 is 86828301.

10382868 is nontrivially palindromic in base 13.

10382868 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., 9847044 + 535824 = 3138^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 288413 = 10382868 / (1 + 0 + 3 + 8 + 2 + 8 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144171 + ... + 144242.

It is an arithmetic number, because the mean of its divisors is an integer number (1458093).

Almost surely, 210382868 is an apocalyptic number.

10382868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10382868 is an abundant number, since it is smaller than the sum of its proper divisors (15862806).

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

10382868 is a wasteful number, since it uses less digits than its factorization.

10382868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288423 (or 288418 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10382868 is about 3222.2458006800. The cubic root of 10382868 is about 218.1586534119.

The spelling of 10382868 in words is "ten million, three hundred eighty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 288413 576826 865239 1153652 1730478 2595717 3460956 5191434 10382868