Search a number
-
+
2131326 = 233291361
BaseRepresentation
bin1000001000010101111110
311000021122000
420020111332
51021200301
6113403130
724054531
oct10102576
94007560
102131326
11122632a
128694a6
13598152
143d6a18
152c1786
hex20857e

2131326 has 32 divisors (see below), whose sum is σ = 4903200. Its totient is φ = 685440.

The previous prime is 2131321. The next prime is 2131361. The reversal of 2131326 is 6231312.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 215 + 1 + 33 + 1 + 34 + 221 + 64 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131299 and 2131308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131321) 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, 886 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (153225).

22131326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451600).

2131326 is an abundant number, since it is smaller than the sum of its proper divisors (2771874).

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

2131326 is a wasteful number, since it uses less digits than its factorization.

2131326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1395 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2131326 is about 1459.9061613679. The cubic root of 2131326 is about 128.6915290473.

Adding to 2131326 its reverse (6231312), we get a palindrome (8362638).

It can be divided in two parts, 2 and 131326, that added together give a triangular number (131328 = T512).

The spelling of 2131326 in words is "two million, one hundred thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1361 1566 2722 4083 8166 12249 24498 36747 39469 73494 78938 118407 236814 355221 710442 1065663 2131326