15085742 has 32 divisors (see below), whose sum is σ = 27172800. Its totient is φ = 6144768.

The previous prime is 15085729. The next prime is 15085781. The reversal of 15085742 is 24758051.

15085742 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15085742² = 455159223381128, which contains 22 as substring.

15085742 is a modest number, since divided by 5742 gives 1508 as remainder.

15085742 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 15085699 and 15085708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29384 + ... + 29892.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 2^15085742 is an apocalyptic number.

15085742 is a deficient number, since it is larger than the sum of its proper divisors (12087058).

15085742 is a wasteful number, since it uses less digits than its factorization.

15085742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 15085742 is about 3884.0368175392. The cubic root of 15085742 is about 247.0902214842.

The spelling of 15085742 in words is "fifteen million, eighty-five thousand, seven hundred forty-two".