Search a number
-
+
2012832 = 253229241
BaseRepresentation
bin111101011011010100000
310210021002100
413223122200
51003402312
6111050400
723052213
oct7533240
93707070
102012832
1111552a8
12810a00
13556233
143a577a
1529b5dc
hex1eb6a0

2012832 has 72 divisors (see below), whose sum is σ = 5945940. Its totient is φ = 645120.

The previous prime is 2012827. The next prime is 2012839. The reversal of 2012832 is 2382102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 41616 = 1404^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012839) 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 11 ways as a sum of consecutive naturals, for example, 8232 + ... + 8472.

22012832 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 2012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972970).

2012832 is an abundant number, since it is smaller than the sum of its proper divisors (3933108).

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

2012832 is a wasteful number, since it uses less digits than its factorization.

2012832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012832 is about 1418.7431057101. The cubic root of 2012832 is about 126.2609858754.

Adding to 2012832 its reverse (2382102), we get a palindrome (4394934).

The spelling of 2012832 in words is "two million, twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 241 261 288 348 464 482 522 696 723 928 964 1044 1392 1446 1928 2088 2169 2784 2892 3856 4176 4338 5784 6989 7712 8352 8676 11568 13978 17352 20967 23136 27956 34704 41934 55912 62901 69408 83868 111824 125802 167736 223648 251604 335472 503208 670944 1006416 2012832