10238020 has 48 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 3763968.

The previous prime is 10238009. The next prime is 10238023. The reversal of 10238020 is 2083201.

10238020 = T₇₀₅ + T₇₀₆ + ... + T₇₄₃.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8952064 + 1285956 = 2992^2 + 1134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10237985 and 10238003.

It is not an unprimeable number, because it can be changed into a prime (10238023) 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, 43824 + ... + 44056.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^10238020 is an apocalyptic number.

10238020 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 10238020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

10238020 is an abundant number, since it is smaller than the sum of its proper divisors (13152620).

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

10238020 is a wasteful number, since it uses less digits than its factorization.

10238020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10238020 is about 3199.6906100434. The cubic root of 10238020 is about 217.1394122096.

It can be divided in two parts, 102380 and 20, that added together give a square (102400 = 320²).

The spelling of 10238020 in words is "ten million, two hundred thirty-eight thousand, twenty".