29242980 has 72 divisors (see below), whose sum is σ = 95534712. Its totient is φ = 7197696.

The previous prime is 29242979. The next prime is 29242981. The reversal of 29242980 is 8924292.

It is an interprime number because it is at equal distance from previous prime (29242979) and next prime (29242981).

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 28643904 = 774^2 + 5352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29242981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3909 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (1326871).

Almost surely, 2^29242980 is an apocalyptic number.

29242980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29242980 is an abundant number, since it is smaller than the sum of its proper divisors (66291732).

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

29242980 is a wasteful number, since it uses less digits than its factorization.

29242980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29242980 is about 5407.6778750218. The cubic root of 29242980 is about 308.0873564547.

The spelling of 29242980 in words is "twenty-nine million, two hundred forty-two thousand, nine hundred eighty".