10052420 has 48 divisors (see below), whose sum is σ = 24554880. Its totient is φ = 3385344.

The previous prime is 10052417. The next prime is 10052447. The reversal of 10052420 is 2425001.

It is a super-2 number, since 2×10052420² = 202102295712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10052395 and 10052404.

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, 7652 + ... + 8868.

It is an arithmetic number, because the mean of its divisors is an integer number (511560).

Almost surely, 2^10052420 is an apocalyptic number.

10052420 is a gapful number since it is divisible by the number (10) 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 10052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277440).

10052420 is an abundant number, since it is smaller than the sum of its proper divisors (14502460).

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

10052420 is a wasteful number, since it uses less digits than its factorization.

10052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10052420 is about 3170.5551564355. Note that the first 3 decimals coincide. The cubic root of 10052420 is about 215.8192646806.

Adding to 10052420 its reverse (2425001), we get a palindrome (12477421).

The spelling of 10052420 in words is "ten million, fifty-two thousand, four hundred twenty".