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2531106 = 232140617
BaseRepresentation
bin1001101001111100100010
311202121000200
421221330202
51121443411
6130130030
730341214
oct11517442
94677020
102531106
111479726
12a20916
136a80c6
1449c5b4
1534ee56
hex269f22

2531106 has 12 divisors (see below), whose sum is σ = 5484102. Its totient is φ = 843696.

The previous prime is 2531101. The next prime is 2531107. The reversal of 2531106 is 6011352.

2531106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2223081 + 308025 = 1491^2 + 555^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 140617 = 2531106 / (2 + 5 + 3 + 1 + 1 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (2531101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70291 + ... + 70326.

22531106 is an apocalyptic number.

2531106 is an abundant number, since it is smaller than the sum of its proper divisors (2952996).

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

2531106 is a wasteful number, since it uses less digits than its factorization.

2531106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140625 (or 140622 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2531106 is about 1590.9450021921. The cubic root of 2531106 is about 136.2814600641.

Adding to 2531106 its reverse (6011352), we get a palindrome (8542458).

It can be divided in two parts, 253110 and 6, that added together give a triangular number (253116 = T711).

The spelling of 2531106 in words is "two million, five hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 140617 281234 421851 843702 1265553 2531106