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10290304 = 27174729
BaseRepresentation
bin100111010000…
…010010000000
3201100210122101
4213100102000
510113242204
61004320144
7153315613
oct47202200
921323571
1010290304
115899292
123543054
132193a4b
14151c17a
15d83ea4
hex9d0480

10290304 has 32 divisors (see below), whose sum is σ = 21710700. Its totient is φ = 4841472.

The previous prime is 10290283. The next prime is 10290307. The reversal of 10290304 is 40309201.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 304704 = 3160^2 + 552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10290307) by changing a digit.

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, 189 + ... + 4540.

Almost surely, 210290304 is an apocalyptic number.

It is an amenable number.

10290304 is an abundant number, since it is smaller than the sum of its proper divisors (11420396).

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

10290304 is an equidigital number, since it uses as much as digits as its factorization.

10290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10290304 is about 3207.8503705753. The cubic root of 10290304 is about 217.5084173428.

Adding to 10290304 its reverse (40309201), we get a palindrome (50599505).

The spelling of 10290304 in words is "ten million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4729 9458 18916 37832 75664 80393 151328 160786 302656 321572 605312 643144 1286288 2572576 5145152 10290304