29138970 has 128 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 6158592.

The previous prime is 29138959. The next prime is 29138981. The reversal of 29138970 is 7983192.

It is an interprime number because it is at equal distance from previous prime (29138959) and next prime (29138981).

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 63 ways as a sum of consecutive naturals, for example, 267276 + ... + 267384.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^29138970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29138970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

29138970 is an abundant number, since it is smaller than the sum of its proper divisors (57030630).

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

29138970 is a wasteful number, since it uses less digits than its factorization.

29138970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 29138970 is about 5398.0524265702. The cubic root of 29138970 is about 307.7216592032.

The spelling of 29138970 in words is "twenty-nine million, one hundred thirty-eight thousand, nine hundred seventy".