Search a number
-
+
10005021 = 321385513
BaseRepresentation
bin100110001010…
…101000011101
3200211022022100
4212022220131
510030130041
6554235313
7151020105
oct46125035
920738270
1010005021
115713a14
123425b39
1320c3c40
141486205
15d296b6
hex98aa1d

10005021 has 12 divisors (see below), whose sum is σ = 15563548. Its totient is φ = 6156864.

The previous prime is 10005019. The next prime is 10005041. The reversal of 10005021 is 12050001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2924100 + 7080921 = 1710^2 + 2661^2 .

It is not a de Polignac number, because 10005021 - 21 = 10005019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10004994 and 10005012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005011) 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 11 ways as a sum of consecutive naturals, for example, 42640 + ... + 42873.

Almost surely, 210005021 is an apocalyptic number.

It is an amenable number.

10005021 is a deficient number, since it is larger than the sum of its proper divisors (5558527).

10005021 is a wasteful number, since it uses less digits than its factorization.

10005021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85532 (or 85529 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10005021 is about 3163.0714503470. The cubic root of 10005021 is about 215.4795210252.

Adding to 10005021 its reverse (12050001), we get a palindrome (22055022).

The spelling of 10005021 in words is "ten million, five thousand, twenty-one".

Divisors: 1 3 9 13 39 117 85513 256539 769617 1111669 3335007 10005021