Search a number
-
+
461142 = 2321117137
BaseRepresentation
bin1110000100101010110
3212102120100
41300211112
5104224032
613514530
73630303
oct1604526
9772510
10461142
11295510
121a2a46
13131b86
14c00aa
159197c
hex70956

461142 has 48 divisors (see below), whose sum is σ = 1162512. Its totient is φ = 130560.

The previous prime is 461119. The next prime is 461143. The reversal of 461142 is 241164.

461142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3298 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (24219).

2461142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581256).

461142 is an abundant number, since it is smaller than the sum of its proper divisors (701370).

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

461142 is a wasteful number, since it uses less digits than its factorization.

461142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 461142 is about 679.0743700067. The cubic root of 461142 is about 77.2582546871.

The spelling of 461142 in words is "four hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 137 153 187 198 274 306 374 411 561 822 1122 1233 1507 1683 2329 2466 3014 3366 4521 4658 6987 9042 13563 13974 20961 25619 27126 41922 51238 76857 153714 230571 461142