10193280 has 64 divisors (see below), whose sum is σ = 32497200. Its totient is φ = 2717696.

The previous prime is 10193273. The next prime is 10193299. The reversal of 10193280 is 8239101.

It is a tau number, because it is divible by the number of its divisors (64).

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 10193280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735 + ... + 4574.

Almost surely, 2^10193280 is an apocalyptic number.

10193280 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 10193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248600).

10193280 is an abundant number, since it is smaller than the sum of its proper divisors (22303920).

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

10193280 is an equidigital number, since it uses as much as digits as its factorization.

10193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10193280 is about 3192.6916543882. The cubic root of 10193280 is about 216.8226516458.

The spelling of 10193280 in words is "ten million, one hundred ninety-three thousand, two hundred eighty".