29148940 has 48 divisors (see below), whose sum is σ = 63195552. Its totient is φ = 11288576.

The previous prime is 29148929. The next prime is 29148947. The reversal of 29148940 is 4984192.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29148940.

It is not an unprimeable number, because it can be changed into a prime (29148947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113292 + ... + 113548.

It is an arithmetic number, because the mean of its divisors is an integer number (1316574).

Almost surely, 2^29148940 is an apocalyptic number.

29148940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29148940 is an abundant number, since it is smaller than the sum of its proper divisors (34046612).

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

29148940 is a wasteful number, since it uses less digits than its factorization.

29148940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 29148940 is about 5398.9758288031. The cubic root of 29148940 is about 307.7567512135.

The spelling of 29148940 in words is "twenty-nine million, one hundred forty-eight thousand, nine hundred forty".