Search a number
-
+
468637134 = 23741436329
BaseRepresentation
bin11011111011101…
…101010111001110
31012122211020021220
4123323231113032
51424432342014
6114300304210
714420231010
oct3373552716
91178736256
10468637134
11220596019
12110b42066
13761239a4
14463501b0
152b2206a9
hex1beed5ce

468637134 has 64 divisors (see below), whose sum is σ = 1122992640. Its totient is φ = 127572480.

The previous prime is 468637123. The next prime is 468637159. The reversal of 468637134 is 431736864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70882 + ... + 77210.

It is an arithmetic number, because the mean of its divisors is an integer number (17546760).

Almost surely, 2468637134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468637134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561496320).

468637134 is an abundant number, since it is smaller than the sum of its proper divisors (654355506).

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

468637134 is a wasteful number, since it uses less digits than its factorization.

468637134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425.

The product of its digits is 290304, while the sum is 42.

The square root of 468637134 is about 21648.0284090723. The cubic root of 468637134 is about 776.7457746564.

The spelling of 468637134 in words is "four hundred sixty-eight million, six hundred thirty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 43 82 86 123 129 246 258 287 301 574 602 861 903 1722 1763 1806 3526 5289 6329 10578 12341 12658 18987 24682 37023 37974 44303 74046 88606 132909 259489 265818 272147 518978 544294 778467 816441 1556934 1632882 1816423 1905029 3632846 3810058 5449269 5715087 10898538 11158027 11430174 22316054 33474081 66948162 78106189 156212378 234318567 468637134