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10045568 = 27136037
BaseRepresentation
bin100110010100…
…100010000000
3200220100221002
4212110202000
510032424233
6555151132
7151246241
oct46244200
920810832
1010045568
115741425
1234454a8
132109530
141496cc8
15d366e8
hex994880

10045568 has 32 divisors (see below), whose sum is σ = 21555660. Its totient is φ = 4635648.

The previous prime is 10045559. The next prime is 10045601. The reversal of 10045568 is 86554001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8809024 + 1236544 = 2968^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10045568.

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 3 ways as a sum of consecutive naturals, for example, 1355 + ... + 4682.

Almost surely, 210045568 is an apocalyptic number.

It is an amenable number.

10045568 is an abundant number, since it is smaller than the sum of its proper divisors (11510092).

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

10045568 is an equidigital number, since it uses as much as digits as its factorization.

10045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 10045568 is about 3169.4744043769. The cubic root of 10045568 is about 215.7702174620.

Adding to 10045568 its reverse (86554001), we get a palindrome (96599569).

The spelling of 10045568 in words is "ten million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6037 12074 24148 48296 78481 96592 156962 193184 313924 386368 627848 772736 1255696 2511392 5022784 10045568