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2132137 = 7253821
BaseRepresentation
bin1000001000100010101001
311000022202001
420020202221
51021212022
6113411001
724060100
oct10104251
94008661
102132137
1112269a7
12869a61
13598627
143d7037
152c1b27
hex2088a9

2132137 has 12 divisors (see below), whose sum is σ = 2530116. Its totient is φ = 1790880.

The previous prime is 2132129. The next prime is 2132147. The reversal of 2132137 is 7312312.

It can be written as a sum of positive squares in 2 ways, for example, as 1058841 + 1073296 = 1029^2 + 1036^2 .

It is not a de Polignac number, because 2132137 - 23 = 2132129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132107) 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 11 ways as a sum of consecutive naturals, for example, 2187 + ... + 3007.

It is an arithmetic number, because the mean of its divisors is an integer number (210843).

22132137 is an apocalyptic number.

It is an amenable number.

2132137 is a deficient number, since it is larger than the sum of its proper divisors (397979).

2132137 is an equidigital number, since it uses as much as digits as its factorization.

2132137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 2132137 is about 1460.1838925286. The cubic root of 2132137 is about 128.7078499659.

Adding to 2132137 its reverse (7312312), we get a palindrome (9444449).

The spelling of 2132137 in words is "two million, one hundred thirty-two thousand, one hundred thirty-seven".

Divisors: 1 7 49 53 371 821 2597 5747 40229 43513 304591 2132137