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10025361 = 3241101269
BaseRepresentation
bin100110001111…
…100110010001
3200212100012200
4212033212101
510031302421
6554513413
7151133313
oct46174621
920770180
1010025361
115728225
123435869
132100288
14148d7b3
15d30726
hex98f991

10025361 has 24 divisors (see below), whose sum is σ = 15036840. Its totient is φ = 6432000.

The previous prime is 10025357. The next prime is 10025363. The reversal of 10025361 is 16352001.

10025361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 9828225 = 444^2 + 3135^2 .

It is not a de Polignac number, because 10025361 - 22 = 10025357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10025363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37135 + ... + 37403.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 210025361 is an apocalyptic number.

It is an amenable number.

10025361 is a deficient number, since it is larger than the sum of its proper divisors (5011479).

10025361 is a wasteful number, since it uses less digits than its factorization.

10025361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10025361 is about 3166.2850471807. The cubic root of 10025361 is about 215.6254439814.

Adding to 10025361 its reverse (16352001), we get a palindrome (26377362).

The spelling of 10025361 in words is "ten million, twenty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 41 101 123 269 303 369 807 909 2421 4141 11029 12423 27169 33087 37269 81507 99261 244521 1113929 3341787 10025361