11029770 has 112 divisors (see below), whose sum is σ = 31871880. Its totient is φ = 2737152.

The previous prime is 11029763. The next prime is 11029771. The reversal of 11029770 is 7792011.

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 2368521 = 2943^2 + 1539^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11029771) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 123886 + ... + 123974.

Almost surely, 2^11029770 is an apocalyptic number.

11029770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11029770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935940).

11029770 is an abundant number, since it is smaller than the sum of its proper divisors (20842110).

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

11029770 is an equidigital number, since it uses as much as digits as its factorization.

11029770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11029770 is about 3321.1097542840. The cubic root of 11029770 is about 222.5984582975.

The spelling of 11029770 in words is "eleven million, twenty-nine thousand, seven hundred seventy".