10382280 has 64 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 2749440.

The previous prime is 10382263. The next prime is 10382293. The reversal of 10382280 is 8228301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10382280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28741 + ... + 29099.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^10382280 is an apocalyptic number.

10382280 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 10382280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

10382280 is an abundant number, since it is smaller than the sum of its proper divisors (20980920).

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

10382280 is a wasteful number, since it uses less digits than its factorization.

10382280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10382280 is about 3222.1545586765. The cubic root of 10382280 is about 218.1545350986.

The spelling of 10382280 in words is "ten million, three hundred eighty-two thousand, two hundred eighty".