Search a number
-
+
2132420 = 225106621
BaseRepresentation
bin1000001000100111000100
311000100010112
420020213010
51021214140
6113412152
724060653
oct10104704
94010115
102132420
111227134
1286a058
135987b4
143d719a
152c1c65
hex2089c4

2132420 has 12 divisors (see below), whose sum is σ = 4478124. Its totient is φ = 852960.

The previous prime is 2132419. The next prime is 2132461. The reversal of 2132420 is 242312.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 948676 = 1088^2 + 974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2132395 and 2132404.

It is an unprimeable number.

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, 53291 + ... + 53330.

It is an arithmetic number, because the mean of its divisors is an integer number (373177).

22132420 is an apocalyptic number.

2132420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132420 is an abundant number, since it is smaller than the sum of its proper divisors (2345704).

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

2132420 is a wasteful number, since it uses less digits than its factorization.

2132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106630 (or 106628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2132420 is about 1460.2807949158. The cubic root of 2132420 is about 128.7135442076.

Adding to 2132420 its reverse (242312), we get a palindrome (2374732).

It can be divided in two parts, 2132 and 420, that added together give a palindrome (2552).

The spelling of 2132420 in words is "two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 106621 213242 426484 533105 1066210 2132420