Search a number
-
+
2012052 = 2237171409
BaseRepresentation
bin111101011001110010100
310210020000110
413223032110
51003341202
6111043020
723050020
oct7531624
93706013
102012052
111154759
12810470
13555a83
143a5380
1529b26c
hex1eb394

2012052 has 48 divisors (see below), whose sum is σ = 5685120. Its totient is φ = 540672.

The previous prime is 2012047. The next prime is 2012057. The reversal of 2012052 is 2502102.

It is an interprime number because it is at equal distance from previous prime (2012047) and next prime (2012057).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012057) 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, 724 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

22012052 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 2012052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842560).

2012052 is an abundant number, since it is smaller than the sum of its proper divisors (3673068).

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

2012052 is a wasteful number, since it uses less digits than its factorization.

2012052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2012052 is about 1418.4681878703. The cubic root of 2012052 is about 126.2446744805.

Adding to 2012052 its reverse (2502102), we get a palindrome (4514154).

The spelling of 2012052 in words is "two million, twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1409 1428 2818 4227 5636 8454 9863 16908 19726 23953 29589 39452 47906 59178 71859 95812 118356 143718 167671 287436 335342 503013 670684 1006026 2012052