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10006441 = 47212903
BaseRepresentation
bin100110001010…
…111110101001
3200211101020221
4212022332221
510030201231
6554250041
7151024204
oct46127651
920741227
1010006441
115714a95
123426921
1320c4793
14148693b
15d29d11
hex98afa9

10006441 has 4 divisors (see below), whose sum is σ = 10219392. Its totient is φ = 9793492.

The previous prime is 10006429. The next prime is 10006463. The reversal of 10006441 is 14460001.

It is a happy number.

10006441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10006441 - 27 = 10006313 is a prime.

It is a super-2 number, since 2×100064412 = 200257722972962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106405 + ... + 106498.

It is an arithmetic number, because the mean of its divisors is an integer number (2554848).

Almost surely, 210006441 is an apocalyptic number.

It is an amenable number.

10006441 is a deficient number, since it is larger than the sum of its proper divisors (212951).

10006441 is an equidigital number, since it uses as much as digits as its factorization.

10006441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212950.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10006441 is about 3163.2959077519. The cubic root of 10006441 is about 215.4897147884.

Adding to 10006441 its reverse (14460001), we get a palindrome (24466442).

The spelling of 10006441 in words is "ten million, six thousand, four hundred forty-one".

Divisors: 1 47 212903 10006441