29160 has 56 divisors (see below), whose sum is σ = 98370. Its totient is φ = 7776.

The previous prime is 29153. The next prime is 29167. The reversal of 29160 is 6192.

29160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29153) and next prime (29167).

It can be written as a sum of positive squares in only one way, i.e., 26244 + 2916 = 162^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (29167) by changing a digit.

29160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5830 + ... + 5834.

29160 is a Friedman number, since it can be written as 10*(9*6)^2, using all its digits and the basic arithmetic operations.

2^{29160} is an apocalyptic number.

29160 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 29160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49185).

29160 is an abundant number, since it is smaller than the sum of its proper divisors (69210).

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

29160 is an equidigital number, since it uses as much as digits as its factorization.

29160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 29160 is about 170.7629936491. The cubic root of 29160 is about 30.7795670402.

It can be divided in two parts, 291 and 60, that added together give a triangular number (351 = T_{26}).

The spelling of 29160 in words is "twenty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160

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