Search a number
-
+
286110740 = 225196112343
BaseRepresentation
bin10001000011011…
…011010000010100
3201221100221011002
4101003123100110
51041221020430
644220202432
710042621046
oct2103332024
9657327132
10286110740
11137558263
127b999418
1347376bc6
1429dd9a96
151a1b8845
hex110db414

286110740 has 48 divisors (see below), whose sum is σ = 642875520. Its totient is φ = 106634880.

The previous prime is 286110739. The next prime is 286110763. The reversal of 286110740 is 47011682.

286110740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17009 + ... + 29351.

It is an arithmetic number, because the mean of its divisors is an integer number (13393240).

Almost surely, 2286110740 is an apocalyptic number.

286110740 is a gapful number since it is divisible by the number (20) 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 286110740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321437760).

286110740 is an abundant number, since it is smaller than the sum of its proper divisors (356764780).

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

286110740 is a wasteful number, since it uses less digits than its factorization.

286110740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 286110740 is about 16914.8083051508. The cubic root of 286110740 is about 658.9382530839.

The spelling of 286110740 in words is "two hundred eighty-six million, one hundred ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 4636 5795 11590 12343 23180 24686 49372 61715 123430 234517 246860 469034 752923 938068 1172585 1505846 2345170 3011692 3764615 4690340 7529230 14305537 15058460 28611074 57222148 71527685 143055370 286110740