Search a number
-
+
2260494 = 233411021
BaseRepresentation
bin1000100111111000001110
311020211211000
420213320032
51034313434
6120241130
725133235
oct10477016
94224730
102260494
111304385
129101a6
13611b92
1442bb1c
152e9b99
hex227e0e

2260494 has 32 divisors (see below), whose sum is σ = 5150880. Its totient is φ = 734400.

The previous prime is 2260493. The next prime is 2260499. The reversal of 2260494 is 4940622.

2260494 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260493) by changing a digit.

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, 1704 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (160965).

22260494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575440).

2260494 is an abundant number, since it is smaller than the sum of its proper divisors (2890386).

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

2260494 is a wasteful number, since it uses less digits than its factorization.

2260494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2260494 is about 1503.4939308158. The cubic root of 2260494 is about 131.2404727778.

It can be divided in two parts, 22 and 60494, that added together give a square (60516 = 2462).

The spelling of 2260494 in words is "two million, two hundred sixty thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1021 1107 2042 2214 3063 6126 9189 18378 27567 41861 55134 83722 125583 251166 376749 753498 1130247 2260494