Search a number
-
+
10142631 = 33596367
BaseRepresentation
bin100110101100…
…001110100111
3201002022002000
4212230032213
510044031011
61001220343
7152132232
oct46541647
921068060
1010142631
1157a8344
1234916b3
132141775
1414c0419
15d55356
hex9ac3a7

10142631 has 16 divisors (see below), whose sum is σ = 15283200. Its totient is φ = 6646104.

The previous prime is 10142623. The next prime is 10142633. The reversal of 10142631 is 13624101.

It is a happy number.

It is not a de Polignac number, because 10142631 - 23 = 10142623 is a prime.

It is a super-2 number, since 2×101426312 = 205745927204322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1591 + ... + 4776.

It is an arithmetic number, because the mean of its divisors is an integer number (955200).

Almost surely, 210142631 is an apocalyptic number.

10142631 is a deficient number, since it is larger than the sum of its proper divisors (5140569).

10142631 is an equidigital number, since it uses as much as digits as its factorization.

10142631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10142631 is about 3184.7497546903. The cubic root of 10142631 is about 216.4629345916.

Adding to 10142631 its reverse (13624101), we get a palindrome (23766732).

The spelling of 10142631 in words is "ten million, one hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 3 9 27 59 177 531 1593 6367 19101 57303 171909 375653 1126959 3380877 10142631