Search a number
-
+
14731164 = 2232731193
BaseRepresentation
bin111000001100…
…011110011100
31000201102100200
4320030132130
512232344124
61243423500
7236133000
oct70143634
930642320
1014731164
118351818
124b24b90
13308a186
141d56700
15145ebc9
hexe0c79c

14731164 has 72 divisors (see below), whose sum is σ = 43461600. Its totient is φ = 4205376.

The previous prime is 14731147. The next prime is 14731187. The reversal of 14731164 is 46113741.

It is a happy number.

14731164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11752 + ... + 12944.

Almost surely, 214731164 is an apocalyptic number.

14731164 is a gapful number since it is divisible by the number (14) 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 14731164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730800).

14731164 is an abundant number, since it is smaller than the sum of its proper divisors (28730436).

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

14731164 is a wasteful number, since it uses less digits than its factorization.

14731164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 14731164 is about 3838.1198522193. The cubic root of 14731164 is about 245.1389687783.

The spelling of 14731164 in words is "fourteen million, seven hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1193 1372 1764 2058 2386 3087 3579 4116 4772 6174 7158 8351 10737 12348 14316 16702 21474 25053 33404 42948 50106 58457 75159 100212 116914 150318 175371 233828 300636 350742 409199 526113 701484 818398 1052226 1227597 1636796 2104452 2455194 3682791 4910388 7365582 14731164