10241000 has 192 divisors, whose sum is σ = 32011200. Its totient is φ = 3024000.

The previous prime is 10240961. The next prime is 10241027. The reversal of 10241000 is 14201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 538991 + ... + 539009.

It is an arithmetic number, because the mean of its divisors is an integer number (166725).

Almost surely, 2^10241000 is an apocalyptic number.

10241000 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 10241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

10241000 is an abundant number, since it is smaller than the sum of its proper divisors (21770200).

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

10241000 is a wasteful number, since it uses less digits than its factorization.

10241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10241000 is about 3200.1562461855. The cubic root of 10241000 is about 217.1604778934.

Adding to 10241000 its reverse (14201), we get a palindrome (10255201).

The spelling of 10241000 in words is "ten million, two hundred forty-one thousand".