Search a number
-
+
29005305 = 3572193167
BaseRepresentation
bin110111010100…
…1010111111001
32000120121210120
41232221113321
524411132210
62513403453
7501353400
oct156512771
960517716
1029005305
111541112a
129869589
136017304
143bd0637
15282e270
hex1ba95f9

29005305 has 96 divisors (see below), whose sum is σ = 59535360. Its totient is φ = 11975040.

The previous prime is 29005303. The next prime is 29005331. The reversal of 29005305 is 50350092.

It is not a de Polignac number, because 29005305 - 21 = 29005303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29005303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432882 + ... + 432948.

It is an arithmetic number, because the mean of its divisors is an integer number (620160).

Almost surely, 229005305 is an apocalyptic number.

It is an amenable number.

29005305 is an abundant number, since it is smaller than the sum of its proper divisors (30530055).

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

29005305 is a wasteful number, since it uses less digits than its factorization.

29005305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 29005305 is about 5385.6573414951. The cubic root of 29005305 is about 307.2504154962.

Adding to 29005305 its reverse (50350092), we get a palindrome (79355397).

The spelling of 29005305 in words is "twenty-nine million, five thousand, three hundred five".

Divisors: 1 3 5 7 15 19 21 31 35 49 57 67 93 95 105 133 147 155 201 217 245 285 335 399 465 469 589 651 665 735 931 1005 1085 1273 1407 1519 1767 1995 2077 2345 2793 2945 3255 3283 3819 4123 4557 4655 6231 6365 7035 7595 8835 8911 9849 10385 12369 13965 14539 16415 19095 20615 22785 26733 28861 31155 39463 43617 44555 49245 61845 62377 72695 86583 101773 118389 133665 144305 187131 197315 218085 276241 305319 311885 432915 508865 591945 828723 935655 1381205 1526595 1933687 4143615 5801061 9668435 29005305