29820150 has 120 divisors (see below), whose sum is σ = 85522800. Its totient is φ = 7698240.

The previous prime is 29820143. The next prime is 29820163. The reversal of 29820150 is 5102892.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149751 + ... + 149949.

It is an arithmetic number, because the mean of its divisors is an integer number (712690).

Almost surely, 2^29820150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29820150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42761400).

29820150 is an abundant number, since it is smaller than the sum of its proper divisors (55702650).

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

29820150 is a wasteful number, since it uses less digits than its factorization.

29820150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 29820150 is about 5460.7829109021. The cubic root of 29820150 is about 310.1010769947.

The spelling of 29820150 in words is "twenty-nine million, eight hundred twenty thousand, one hundred fifty".