10429840 has 40 divisors (see below), whose sum is σ = 25679160. Its totient is φ = 3926016.

The previous prime is 10429807. The next prime is 10429847. The reversal of 10429840 is 4892401.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 5607424 = 2196^2 + 2368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10429799 and 10429808.

It is not an unprimeable number, because it can be changed into a prime (10429847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475 + ... + 5194.

It is an arithmetic number, because the mean of its divisors is an integer number (641979).

Almost surely, 2^10429840 is an apocalyptic number.

10429840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10429840 is an abundant number, since it is smaller than the sum of its proper divisors (15249320).

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

10429840 is a wasteful number, since it uses less digits than its factorization.

10429840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10429840 is about 3229.5262810511. The cubic root of 10429840 is about 218.4871411354.

The spelling of 10429840 in words is "ten million, four hundred twenty-nine thousand, eight hundred forty".