29942000 has 80 divisors (see below), whose sum is σ = 79039584. Its totient is φ = 10880000.

The previous prime is 29941999. The next prime is 29942023. The reversal of 29942000 is 24992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21320 + ... + 22680.

Almost surely, 2^29942000 is an apocalyptic number.

29942000 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 29942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39519792).

29942000 is an abundant number, since it is smaller than the sum of its proper divisors (49097584).

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

29942000 is a wasteful number, since it uses less digits than its factorization.

29942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 29942000 is about 5471.9283621042. The cubic root of 29942000 is about 310.5228775379.

Adding to 29942000 its reverse (24992), we get a palindrome (29966992).

It can be divided in two parts, 2994 and 2000, that added together give a palindrome (4994).

The spelling of 29942000 in words is "twenty-nine million, nine hundred forty-two thousand".