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10005453 = 327397157
BaseRepresentation
bin100110001010…
…101111001101
3200211022220100
4212022233031
510030133303
6554241313
7151021263
oct46125715
920738810
1010005453
115714277
123426239
1320c41b3
141486433
15d298a3
hex98abcd

10005453 has 24 divisors (see below), whose sum is σ = 14895608. Its totient is φ = 6469632.

The previous prime is 10005451. The next prime is 10005473. The reversal of 10005453 is 35450001.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 9162729 = 918^2 + 3027^2 .

It is not a de Polignac number, because 10005453 - 21 = 10005451 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005451) 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 23 ways as a sum of consecutive naturals, for example, 63651 + ... + 63807.

Almost surely, 210005453 is an apocalyptic number.

It is an amenable number.

10005453 is a deficient number, since it is larger than the sum of its proper divisors (4890155).

10005453 is a wasteful number, since it uses less digits than its factorization.

10005453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10005453 is about 3163.1397376657. The cubic root of 10005453 is about 215.4826223285.

Adding to 10005453 its reverse (35450001), we get a palindrome (45455454).

The spelling of 10005453 in words is "ten million, five thousand, four hundred fifty-three".

Divisors: 1 3 9 73 97 157 219 291 471 657 873 1413 7081 11461 15229 21243 34383 45687 63729 103149 137061 1111717 3335151 10005453