10032420 has 48 divisors (see below), whose sum is σ = 28240128. Its totient is φ = 2661120.

The previous prime is 10032403. The next prime is 10032461. The reversal of 10032420 is 2423001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10032396 and 10032405.

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, 15952 + ... + 16568.

It is an arithmetic number, because the mean of its divisors is an integer number (588336).

Almost surely, 2^10032420 is an apocalyptic number.

10032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032420 is an abundant number, since it is smaller than the sum of its proper divisors (18207708).

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

10032420 is a wasteful number, since it uses less digits than its factorization.

10032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10032420 is about 3167.3995643114. The cubic root of 10032420 is about 215.6760404273.

Adding to 10032420 its reverse (2423001), we get a palindrome (12455421).

The spelling of 10032420 in words is "ten million, thirty-two thousand, four hundred twenty".