10483200 has 360 divisors, whose sum is σ = 46174128. Its totient is φ = 2211840.

The previous prime is 10483189. The next prime is 10483201. The reversal of 10483200 is 238401.

10483200 = 16³ + 17³ + ... + 80³.

It is a happy number.

10483200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10483201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806394 + ... + 806406.

Almost surely, 2^10483200 is an apocalyptic number.

10483200 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 10483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087064).

10483200 is an abundant number, since it is smaller than the sum of its proper divisors (35690928).

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

10483200 is a wasteful number, since it uses less digits than its factorization.

10483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10483200 is about 3237.7770151757. Note that the first 3 decimals coincide. The cubic root of 10483200 is about 218.8591074754.

The spelling of 10483200 in words is "ten million, four hundred eighty-three thousand, two hundred".