10139584 has 56 divisors (see below), whose sum is σ = 24778208. Its totient is φ = 4008960.

The previous prime is 10139557. The next prime is 10139609. The reversal of 10139584 is 48593101.

10139584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10139584² = 205622327386112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4954 + ... + 6694.

It is an arithmetic number, because the mean of its divisors is an integer number (442468).

Almost surely, 2^10139584 is an apocalyptic number.

10139584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389104).

10139584 is an abundant number, since it is smaller than the sum of its proper divisors (14638624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10139584 is a wasteful number, since it uses less digits than its factorization.

10139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10139584 is about 3184.2713452217. The cubic root of 10139584 is about 216.4412561724.

The spelling of 10139584 in words is "ten million, one hundred thirty-nine thousand, five hundred eighty-four".