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10152505 = 511297173
BaseRepresentation
bin100110101110…
…101000111001
3201002210121201
4212232220321
510044340010
61001334201
7152203066
oct46565071
921083551
1010152505
115804800
123497361
1321460cc
1414c3c6d
15d5823a
hex9aea39

10152505 has 24 divisors (see below), whose sum is σ = 13607496. Its totient is φ = 7265280.

The previous prime is 10152491. The next prime is 10152529. The reversal of 10152505 is 50525101.

10152505 is digitally balanced in base 3, 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 2650384 + 7502121 = 1628^2 + 2739^2 .

It is not a de Polignac number, because 10152505 - 27 = 10152377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 58599 + ... + 58771.

It is an arithmetic number, because the mean of its divisors is an integer number (566979).

Almost surely, 210152505 is an apocalyptic number.

It is an amenable number.

10152505 is a deficient number, since it is larger than the sum of its proper divisors (3454991).

10152505 is a wasteful number, since it uses less digits than its factorization.

10152505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 10152505 is about 3186.2995778803. The cubic root of 10152505 is about 216.5331550899.

Adding to 10152505 its reverse (50525101), we get a palindrome (60677606).

The spelling of 10152505 in words is "ten million, one hundred fifty-two thousand, five hundred five".

Divisors: 1 5 11 55 97 121 173 485 605 865 1067 1903 5335 9515 11737 16781 20933 58685 83905 104665 184591 922955 2030501 10152505