11052000 has 144 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 2937600.

The previous prime is 11051993. The next prime is 11052017. The reversal of 11052000 is 25011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35847 + ... + 36153.

It is an arithmetic number, because the mean of its divisors is an integer number (273273).

Almost surely, 2^11052000 is an apocalyptic number.

11052000 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 11052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675656).

11052000 is an abundant number, since it is smaller than the sum of its proper divisors (28299312).

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

11052000 is a wasteful number, since it uses less digits than its factorization.

11052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11052000 is about 3324.4548425268. The cubic root of 11052000 is about 222.7479036333.

Adding to 11052000 its reverse (25011), we get a palindrome (11077011).

The spelling of 11052000 in words is "eleven million, fifty-two thousand".