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10142505 = 325257877
BaseRepresentation
bin100110101100…
…001100101001
3201002021220100
4212230030221
510044030010
61001220013
7152131662
oct46541451
921067810
1010142505
1157a823a
123491609
1321416a9
1414c0369
15d552c0
hex9ac329

10142505 has 24 divisors (see below), whose sum is σ = 17668872. Its totient is φ = 5382144.

The previous prime is 10142501. The next prime is 10142507. The reversal of 10142505 is 50524101.

It can be written as a sum of positive squares in 4 ways, for example, as 5631129 + 4511376 = 2373^2 + 2124^2 .

It is not a de Polignac number, because 10142505 - 22 = 10142501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11127 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (736203).

Almost surely, 210142505 is an apocalyptic number.

10142505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142505 is a deficient number, since it is larger than the sum of its proper divisors (7526367).

10142505 is a wasteful number, since it uses less digits than its factorization.

10142505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10142505 is about 3184.7299728548. The cubic root of 10142505 is about 216.4620382285.

Adding to 10142505 its reverse (50524101), we get a palindrome (60666606).

The spelling of 10142505 in words is "ten million, one hundred forty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 45 257 771 877 1285 2313 2631 3855 4385 7893 11565 13155 39465 225389 676167 1126945 2028501 3380835 10142505