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2131424 = 25431549
BaseRepresentation
bin1000001000010111100000
311000021202122
420020113200
51021201144
6113403412
724055031
oct10102740
94007678
102131424
111226409
12869568
135981c9
143d6a88
152c17ee
hex2085e0

2131424 has 24 divisors (see below), whose sum is σ = 4296600. Its totient is φ = 1040256.

The previous prime is 2131417. The next prime is 2131427. The reversal of 2131424 is 4241312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 602 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (179025).

22131424 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 2131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148300).

2131424 is an abundant number, since it is smaller than the sum of its proper divisors (2165176).

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

2131424 is a wasteful number, since it uses less digits than its factorization.

2131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 2131424 is about 1459.9397247832. The cubic root of 2131424 is about 128.6935014620.

Adding to 2131424 its reverse (4241312), we get a palindrome (6372736).

The spelling of 2131424 in words is "two million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1549 3098 6196 12392 24784 49568 66607 133214 266428 532856 1065712 2131424