29905140 has 48 divisors (see below), whose sum is σ = 83982528. Its totient is φ = 7951104.

The previous prime is 29905103. The next prime is 29905151. The reversal of 29905140 is 4150992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29905098 and 29905107.

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, 30904 + ... + 31856.

It is an arithmetic number, because the mean of its divisors is an integer number (1749636).

Almost surely, 2^29905140 is an apocalyptic number.

29905140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29905140 is an abundant number, since it is smaller than the sum of its proper divisors (54077388).

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

29905140 is a wasteful number, since it uses less digits than its factorization.

29905140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 29905140 is about 5468.5592252439. The cubic root of 29905140 is about 310.3954024942.

The spelling of 29905140 in words is "twenty-nine million, nine hundred five thousand, one hundred forty".