29145040 has 20 divisors (see below), whose sum is σ = 67762404. Its totient is φ = 11657984.

The previous prime is 29145037. The next prime is 29145041. The reversal of 29145040 is 4054192.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 17774656 = 3372^2 + 4216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 29144996 and 29145014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29145041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182077 + ... + 182236.

Almost surely, 2^29145040 is an apocalyptic number.

29145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29145040 is an abundant number, since it is smaller than the sum of its proper divisors (38617364).

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

29145040 is a wasteful number, since it uses less digits than its factorization.

29145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364326 (or 364320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 29145040 is about 5398.6146371083. The cubic root of 29145040 is about 307.7430251012.

The spelling of 29145040 in words is "twenty-nine million, one hundred forty-five thousand, forty".