10193040 has 300 divisors, whose sum is σ = 41906172. Its totient is φ = 2280960.

The previous prime is 10193033. The next prime is 10193059. The reversal of 10193040 is 4039101.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 7683984 = 1584^2 + 2772^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784074 + ... + 784086.

Almost surely, 2^10193040 is an apocalyptic number.

10193040 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 10193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

10193040 is an abundant number, since it is smaller than the sum of its proper divisors (31713132).

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

10193040 is a wasteful number, since it uses less digits than its factorization.

10193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10193040 is about 3192.6540683262. The cubic root of 10193040 is about 216.8209499415.

The spelling of 10193040 in words is "ten million, one hundred ninety-three thousand, forty".