29240 has 32 divisors (see below), whose sum is σ = 71280. Its totient is φ = 10752.

The previous prime is 29231. The next prime is 29243. The reversal of 29240 is 4292.

29240 = T₅ + T₆ + ... + T₅₅.

29240 = 35² + 36² + ... + 50².

29240 = 2³ + 3³ + ... + 18³.

29240 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 171²-1.

29240 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 701.

2²⁹²⁴⁰ is an apocalyptic number.

29240 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 29240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640).

29240 is an abundant number, since it is smaller than the sum of its proper divisors (42040).

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

29240 is a wasteful number, since it uses less digits than its factorization.

29240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 29240 is about 170.9970759984. The cubic root of 29240 is about 30.8076890906.

The spelling of 29240 in words is "twenty-nine thousand, two hundred forty".