29981940 has 48 divisors (see below), whose sum is σ = 86849280. Its totient is φ = 7719040.

The previous prime is 29981893. The next prime is 29981977. The reversal of 29981940 is 4918992.

It is a junction number, because it is equal to n+sod(n) for n = 29981892 and 29981901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6876 + ... + 10355.

It is an arithmetic number, because the mean of its divisors is an integer number (1809360).

Almost surely, 2^29981940 is an apocalyptic number.

29981940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29981940 is an abundant number, since it is smaller than the sum of its proper divisors (56867340).

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

29981940 is a wasteful number, since it uses less digits than its factorization.

29981940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17270 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 29981940 is about 5475.5766819578. The cubic root of 29981940 is about 310.6608862803.

The spelling of 29981940 in words is "twenty-nine million, nine hundred eighty-one thousand, nine hundred forty".