Search a number
-
+
29064 = 2337173
BaseRepresentation
bin111000110001000
31110212110
413012020
51412224
6342320
7150510
oct70610
943773
1029064
111a922
12149a0
13102c9
14a840
158929
hex7188

29064 has 32 divisors (see below), whose sum is σ = 83520. Its totient is φ = 8256.

The previous prime is 29063. The next prime is 29077. The reversal of 29064 is 46092.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 29064.

It is not an unprimeable number, because it can be changed into a prime (29063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (2610).

229064 is an apocalyptic number.

29064 is a gapful number since it is divisible by the number (24) 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 29064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41760).

29064 is an abundant number, since it is smaller than the sum of its proper divisors (54456).

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

29064 is a wasteful number, since it uses less digits than its factorization.

29064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 29064 is about 170.4816705690. The cubic root of 29064 is about 30.7457526026.

The spelling of 29064 in words is "twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 7266 9688 14532 29064