10056432 has 80 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 3184896.

The previous prime is 10056421. The next prime is 10056433. The reversal of 10056432 is 23465001.

It is a happy number.

10056432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056432² = 202263649141248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10056399 and 10056408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150063 + ... + 150129.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 2^10056432 is an apocalyptic number.

10056432 is a gapful number since it is divisible by the number (12) 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 10056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

10056432 is an abundant number, since it is smaller than the sum of its proper divisors (17263248).

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

10056432 is a wasteful number, since it uses less digits than its factorization.

10056432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10056432 is about 3171.1877900875. The cubic root of 10056432 is about 215.8479725846.

The spelling of 10056432 in words is "ten million, fifty-six thousand, four hundred thirty-two".