29102080 has 156 divisors (see below), whose sum is σ = 84039660. Its totient is φ = 9633792.

The previous prime is 29102057. The next prime is 29102083. The reversal of 29102080 is 8020192.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 16257024 = 3584^2 + 4032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29102083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003506 + ... + 1003534.

Almost surely, 2^29102080 is an apocalyptic number.

29102080 is a gapful number since it is divisible by the number (20) 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 29102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42019830).

29102080 is an abundant number, since it is smaller than the sum of its proper divisors (54937580).

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

29102080 is an equidigital number, since it uses as much as digits as its factorization.

29102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 29102080 is about 5394.6343712989. The cubic root of 29102080 is about 307.5917455987.

The spelling of 29102080 in words is "twenty-nine million, one hundred two thousand, eighty".