Search a number
-
+
465250060 = 2251119910627
BaseRepresentation
bin11011101110110…
…010011100001100
31012102110011002201
4123232302130030
51423101000220
6114055531244
714346363112
oct3356623414
91172404081
10465250060
11219692290
1210b989b24
13755090c2
1445b0bab2
152aca1d0a
hex1bbb270c

465250060 has 48 divisors (see below), whose sum is σ = 1071302400. Its totient is φ = 168315840.

The previous prime is 465250057. The next prime is 465250061. The reversal of 465250060 is 60052564.

It is not an unprimeable number, because it can be changed into a prime (465250061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38467 + ... + 49093.

It is an arithmetic number, because the mean of its divisors is an integer number (22318800).

Almost surely, 2465250060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465250060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535651200).

465250060 is an abundant number, since it is smaller than the sum of its proper divisors (606052340).

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

465250060 is a wasteful number, since it uses less digits than its factorization.

465250060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 465250060 is about 21569.6560009658. The cubic root of 465250060 is about 774.8699386320.

The spelling of 465250060 in words is "four hundred sixty-five million, two hundred fifty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 8756 10627 10945 21254 21890 42508 43780 53135 106270 116897 212540 233794 467588 584485 1168970 2114773 2337940 4229546 8459092 10573865 21147730 23262503 42295460 46525006 93050012 116312515 232625030 465250060