10393152 has 224 divisors, whose sum is σ = 37063680. Its totient is φ = 2488320.

The previous prime is 10393127. The next prime is 10393181. The reversal of 10393152 is 25139301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280878 + ... + 280914.

Almost surely, 2^10393152 is an apocalyptic number.

10393152 is a gapful number since it is divisible by the number (12) 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 10393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

10393152 is an abundant number, since it is smaller than the sum of its proper divisors (26670528).

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

10393152 is a wasteful number, since it uses less digits than its factorization.

10393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 10393152 is about 3223.8411871555. The cubic root of 10393152 is about 218.2306567438.

The spelling of 10393152 in words is "ten million, three hundred ninety-three thousand, one hundred fifty-two".