13048200 has 144 divisors (see below), whose sum is σ = 47876400. Its totient is φ = 3158400.

The previous prime is 13048177. The next prime is 13048207. The reversal of 13048200 is 284031.

13048200 = 180² + 181² + ... + 355².

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13048207) 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, 19471 + ... + 20129.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

Almost surely, 2^13048200 is an apocalyptic number.

13048200 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 13048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

13048200 is an abundant number, since it is smaller than the sum of its proper divisors (34828200).

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

13048200 is a wasteful number, since it uses less digits than its factorization.

13048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

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

The square root of 13048200 is about 3612.2292286066. The cubic root of 13048200 is about 235.4237112083.

The spelling of 13048200 in words is "thirteen million, forty-eight thousand, two hundred".