10382240 has 96 divisors (see below), whose sum is σ = 28413504. Its totient is φ = 3543040.

The previous prime is 10382233. The next prime is 10382263. The reversal of 10382240 is 4228301.

10382240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10382240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29747 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (295974).

Almost surely, 2^10382240 is an apocalyptic number.

10382240 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 10382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206752).

10382240 is an abundant number, since it is smaller than the sum of its proper divisors (18031264).

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

10382240 is a wasteful number, since it uses less digits than its factorization.

10382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10382240 is about 3222.1483516437. The cubic root of 10382240 is about 218.1542549355.

The spelling of 10382240 in words is "ten million, three hundred eighty-two thousand, two hundred forty".