10244000 has 96 divisors (see below), whose sum is σ = 27243216. Its totient is φ = 3763200.

The previous prime is 10243969. The next prime is 10244011. The reversal of 10244000 is 44201.

It can be written as a sum of positive squares in 8 ways, for example, as 929296 + 9314704 = 964^2 + 3052^2 .

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 15 ways as a sum of consecutive naturals, for example, 51902 + ... + 52098.

Almost surely, 2^10244000 is an apocalyptic number.

10244000 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 10244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621608).

10244000 is an abundant number, since it is smaller than the sum of its proper divisors (16999216).

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

10244000 is a wasteful number, since it uses less digits than its factorization.

10244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10244000 is about 3200.6249389768. The cubic root of 10244000 is about 217.1816808302.

Adding to 10244000 its reverse (44201), we get a palindrome (10288201).

It can be divided in two parts, 1024 and 4000, that multiplied together give a cube (4096000 = 160³).

The spelling of 10244000 in words is "ten million, two hundred forty-four thousand".