29982000 has 160 divisors (see below), whose sum is σ = 102136320. Its totient is φ = 7545600.

The previous prime is 29981977. The next prime is 29982023. The reversal of 29982000 is 28992.

It is an interprime number because it is at equal distance from previous prime (29981977) and next prime (29982023).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113869 + ... + 114131.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^29982000 is an apocalyptic number.

29982000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

29982000 is an abundant number, since it is smaller than the sum of its proper divisors (72154320).

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

29982000 is a wasteful number, since it uses less digits than its factorization.

29982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29982000 is about 5475.5821608300. The cubic root of 29982000 is about 310.6610935122.

The spelling of 29982000 in words is "twenty-nine million, nine hundred eighty-two thousand".