10713024 has 84 divisors (see below), whose sum is σ = 35106864. Its totient is φ = 3059712.

The previous prime is 10712987. The next prime is 10713029. The reversal of 10713024 is 42031701.

10713024 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 (84).

It is a super-2 number, since 2×10713024² = 229537766449152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10712988 and 10713006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10713029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2704 + ... + 5360.

Almost surely, 2^10713024 is an apocalyptic number.

10713024 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 10713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553432).

10713024 is an abundant number, since it is smaller than the sum of its proper divisors (24393840).

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

10713024 is a wasteful number, since it uses less digits than its factorization.

10713024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10713024 is about 3273.0756178249. The cubic root of 10713024 is about 220.4469151985.

Adding to 10713024 its reverse (42031701), we get a palindrome (52744725).

It can be divided in two parts, 1071 and 3024, that added together give a triangular number (4095 = T₉₀).

The spelling of 10713024 in words is "ten million, seven hundred thirteen thousand, twenty-four".