29040930 has 192 divisors, whose sum is σ = 89631360. Its totient is φ = 6718464.

The previous prime is 29040923. The next prime is 29040937. The reversal of 29040930 is 3904092.

29040930 = 542² + 543² + ... + 626².

It is an interprime number because it is at equal distance from previous prime (29040923) and next prime (29040937).

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

It is a junction number, because it is equal to n+sod(n) for n = 29040894 and 29040903.

It is not an unprimeable number, because it can be changed into a prime (29040937) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 784872 + ... + 784908.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^29040930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29040930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

29040930 is an abundant number, since it is smaller than the sum of its proper divisors (60590430).

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

29040930 is a wasteful number, since it uses less digits than its factorization.

29040930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29040930 is about 5388.9637222754. The cubic root of 29040930 is about 307.3761547683.

The spelling of 29040930 in words is "twenty-nine million, forty thousand, nine hundred thirty".