10128240 has 120 divisors (see below), whose sum is σ = 35341488. Its totient is φ = 2695680.

The previous prime is 10128229. The next prime is 10128253. The reversal of 10128240 is 4282101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19180 + ... + 19700.

Almost surely, 2^10128240 is an apocalyptic number.

10128240 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 10128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670744).

10128240 is an abundant number, since it is smaller than the sum of its proper divisors (25213248).

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

10128240 is an equidigital number, since it uses as much as digits as its factorization.

10128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10128240 is about 3182.4895914991. The cubic root of 10128240 is about 216.3605090782.

The spelling of 10128240 in words is "ten million, one hundred twenty-eight thousand, two hundred forty".