Search a number
-
+
2133126 = 232176971
BaseRepresentation
bin1000001000110010000110
311000101002200
420020302012
51021230001
6113415330
724063012
oct10106206
94011080
102133126
111227716
1286a546
13598c08
143d7542
152c2086
hex208c86

2133126 has 24 divisors (see below), whose sum is σ = 4894344. Its totient is φ = 669120.

The previous prime is 2133121. The next prime is 2133137. The reversal of 2133126 is 6213312.

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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2133099 and 2133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133121) 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, 3180 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (203931).

22133126 is an apocalyptic number.

2133126 is an abundant number, since it is smaller than the sum of its proper divisors (2761218).

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

2133126 is a wasteful number, since it uses less digits than its factorization.

2133126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6993 counting only the distinct ones).

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

The square root of 2133126 is about 1460.5225092411. The cubic root of 2133126 is about 128.7277474345.

Adding to 2133126 its reverse (6213312), we get a palindrome (8346438).

The spelling of 2133126 in words is "two million, one hundred thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 6971 13942 20913 41826 62739 118507 125478 237014 355521 711042 1066563 2133126