20152420 has 48 divisors (see below), whose sum is σ = 44030448. Its totient is φ = 7741440.

The previous prime is 20152411. The next prime is 20152421. The reversal of 20152420 is 2425102.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 20124196 = 168^2 + 4486^2 .

It is a super-2 number, since 2×20152420² = 812240063712800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20152394 and 20152403.

It is not an unprimeable number, because it can be changed into a prime (20152421) 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, 83500 + ... + 83740.

It is an arithmetic number, because the mean of its divisors is an integer number (917301).

Almost surely, 2^20152420 is an apocalyptic number.

20152420 is a gapful number since it is divisible by the number (20) 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 20152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22015224).

20152420 is an abundant number, since it is smaller than the sum of its proper divisors (23878028).

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

20152420 is a wasteful number, since it uses less digits than its factorization.

20152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 20152420 is about 4489.1446846810. The cubic root of 20152420 is about 272.1295699004.

Adding to 20152420 its reverse (2425102), we get a palindrome (22577522).

The spelling of 20152420 in words is "twenty million, one hundred fifty-two thousand, four hundred twenty".