Search a number
-
+
2081142 = 232783199
BaseRepresentation
bin111111100000101110110
310220201210100
413330011312
51013044032
6112334530
723455320
oct7740566
93821710
102081142
1111a1658
12844446
1357b35b
143c2610
152b197c
hex1fc176

2081142 has 48 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 584496.

The previous prime is 2081129. The next prime is 2081147. The reversal of 2081142 is 2411802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10359 + ... + 10557.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

22081142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

2081142 is an abundant number, since it is smaller than the sum of its proper divisors (3160458).

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

2081142 is a wasteful number, since it uses less digits than its factorization.

2081142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2081142 is about 1442.6163731221. The cubic root of 2081142 is about 127.6734433053.

Adding to 2081142 its reverse (2411802), we get a palindrome (4492944).

The spelling of 2081142 in words is "two million, eighty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 199 249 398 498 581 597 747 1162 1194 1393 1494 1743 1791 2786 3486 3582 4179 5229 8358 10458 12537 16517 25074 33034 49551 99102 115619 148653 231238 297306 346857 693714 1040571 2081142