10129248 has 36 divisors (see below), whose sum is σ = 28805868. Its totient is φ = 3376320.

The previous prime is 10129213. The next prime is 10129253. The reversal of 10129248 is 84292101.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 17298 + ... + 17873.

It is an arithmetic number, because the mean of its divisors is an integer number (800163).

Almost surely, 2^10129248 is an apocalyptic number.

10129248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10129248 is an abundant number, since it is smaller than the sum of its proper divisors (18676620).

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

10129248 is a wasteful number, since it uses less digits than its factorization.

10129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35187 (or 35176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10129248 is about 3182.6479541413. The cubic root of 10129248 is about 216.3676865068.

The spelling of 10129248 in words is "ten million, one hundred twenty-nine thousand, two hundred forty-eight".