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29960 = 2357107

29960 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 10176.

The previous prime is 29959. The next prime is 29983. The reversal of 29960 is 6992.

29960 = T89 + T90 + ... + T95.

29960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

29960 is strictly pandigital in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

229960 is an apocalyptic number.

29960 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 29960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

29960 is an abundant number, since it is smaller than the sum of its proper divisors (47800).

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

29960 is a wasteful number, since it uses less digits than its factorization.

29960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 29960 is about 173.0895721874. The cubic root of 29960 is about 31.0585089950.

It can be divided in two parts, 29 and 960, that added together give a palindrome (989).

The spelling of 29960 in words is "twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960