Search a number
-
+
29160054 = 2337117013
BaseRepresentation
bin110111100111…
…1001001110110
32000212111002000
41233033021312
524431110204
62521000130
7502566510
oct157171166
960774060
1029160054
1115507420
129923046
13606c891
143c30bb0
152860039
hex1bcf276

29160054 has 64 divisors (see below), whose sum is σ = 80801280. Its totient is φ = 7572960.

The previous prime is 29160029. The next prime is 29160059. The reversal of 29160054 is 45006192.

29160054 is a `hidden beast` number, since 2 + 9 + 1 + 600 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29160059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652 + ... + 7664.

It is an arithmetic number, because the mean of its divisors is an integer number (1262520).

Almost surely, 229160054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29160054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40400640).

29160054 is an abundant number, since it is smaller than the sum of its proper divisors (51641226).

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

29160054 is a wasteful number, since it uses less digits than its factorization.

29160054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 29160054 is about 5400.0049999977. The cubic root of 29160054 is about 307.7958603990.

The spelling of 29160054 in words is "twenty-nine million, one hundred sixty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 7013 14026 21039 42078 49091 63117 77143 98182 126234 147273 154286 189351 231429 294546 378702 441819 462858 540001 694287 883638 1080002 1325457 1388574 1620003 2082861 2650914 3240006 4165722 4860009 9720018 14580027 29160054