Search a number
-
+
461130 = 23519809
BaseRepresentation
bin1110000100101001010
3212102112220
41300211022
5104224010
613514510
73630255
oct1604512
9772486
10461130
112954aa
121a2a36
13131b77
14c009c
1591970
hex7094a

461130 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 116352.

The previous prime is 461119. The next prime is 461143. The reversal of 461130 is 31164.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2461130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

461130 is an abundant number, since it is smaller than the sum of its proper divisors (705270).

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

461130 is a wasteful number, since it uses less digits than its factorization.

461130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 461130 is about 679.0655343927. The cubic root of 461130 is about 77.2575845341.

Adding to 461130 its reverse (31164), we get a palindrome (492294).

It can be divided in two parts, 46 and 1130, that added together give a triangular number (1176 = T48).

The spelling of 461130 in words is "four hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 809 1618 2427 4045 4854 8090 12135 15371 24270 30742 46113 76855 92226 153710 230565 461130