29138340 has 288 divisors, whose sum is σ = 111694464. Its totient is φ = 5591040.

The previous prime is 29138321. The next prime is 29138363. The reversal of 29138340 is 4383192.

29138340 = T₁₂₀ + T₁₂₁ + ... + T₅₆₀.

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

It is a junction number, because it is equal to n+sod(n) for n = 29138298 and 29138307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549754 + ... + 549806.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 2^29138340 is an apocalyptic number.

29138340 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 29138340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55847232).

29138340 is an abundant number, since it is smaller than the sum of its proper divisors (82556124).

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

29138340 is a wasteful number, since it uses less digits than its factorization.

29138340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29138340 is about 5397.9940718752. The cubic root of 29138340 is about 307.7194414853.

The spelling of 29138340 in words is "twenty-nine million, one hundred thirty-eight thousand, three hundred forty".