10293840 has 180 divisors, whose sum is σ = 37909404. Its totient is φ = 2494464.

The previous prime is 10293817. The next prime is 10293847. The reversal of 10293840 is 4839201.

It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 10188864 = 324^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354946 + ... + 354974.

Almost surely, 2^10293840 is an apocalyptic number.

10293840 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 10293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954702).

10293840 is an abundant number, since it is smaller than the sum of its proper divisors (27615564).

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

10293840 is a wasteful number, since it uses less digits than its factorization.

10293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10293840 is about 3208.4014711379. The cubic root of 10293840 is about 217.5333282261.

The spelling of 10293840 in words is "ten million, two hundred ninety-three thousand, eight hundred forty".