29971900 has 72 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 10046400.

The previous prime is 29971897. The next prime is 29971919. The reversal of 29971900 is 917992.

It is a super-2 number, since 2×29971900² = 1796629579220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29971900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32445 + ... + 33355.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^29971900 is an apocalyptic number.

29971900 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 29971900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

29971900 is an abundant number, since it is smaller than the sum of its proper divisors (46023236).

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

29971900 is a wasteful number, since it uses less digits than its factorization.

29971900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 29971900 is about 5474.6598067825. The cubic root of 29971900 is about 310.6262055857.

The spelling of 29971900 in words is "twenty-nine million, nine hundred seventy-one thousand, nine hundred".