Search a number
-
+
2012784 = 243192207
BaseRepresentation
bin111101011011001110000
310210021000120
413223121300
51003402114
6111050240
723052114
oct7533160
93707016
102012784
111155264
12810980
135561c7
143a5744
1529b5a9
hex1eb670

2012784 has 40 divisors (see below), whose sum is σ = 5475840. Its totient is φ = 635328.

The previous prime is 2012767. The next prime is 2012789. The reversal of 2012784 is 4872102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (136896).

22012784 is an apocalyptic number.

2012784 is a gapful number since it is divisible by the number (24) 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 2012784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737920).

2012784 is an abundant number, since it is smaller than the sum of its proper divisors (3463056).

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

2012784 is a wasteful number, since it uses less digits than its factorization.

2012784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2012784 is about 1418.7261892275. The cubic root of 2012784 is about 126.2599822189.

Adding to 2012784 its reverse (4872102), we get a palindrome (6884886).

The spelling of 2012784 in words is "two million, twelve thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2207 4414 6621 8828 13242 17656 26484 35312 41933 52968 83866 105936 125799 167732 251598 335464 503196 670928 1006392 2012784