[go: up one dir, main page]

Search a number
-
+
2541966 = 237292087
BaseRepresentation
bin1001101100100110001110
311210010220220
421230212032
51122320331
6130252210
730414660
oct11544616
94703826
102541966
1114868a9
12a27066
136b002b
144a2530
15353296
hex26c98e

2541966 has 32 divisors (see below), whose sum is σ = 6013440. Its totient is φ = 700896.

The previous prime is 2541961. The next prime is 2541967. The reversal of 2541966 is 6691452.

2541966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25419662 = 12923182290312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541961) 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 15 ways as a sum of consecutive naturals, for example, 175 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (187920).

22541966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006720).

2541966 is an abundant number, since it is smaller than the sum of its proper divisors (3471474).

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

2541966 is a wasteful number, since it uses less digits than its factorization.

2541966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its digits is 12960, while the sum is 33.

The square root of 2541966 is about 1594.3544148024. The cubic root of 2541966 is about 136.4760923659.

The spelling of 2541966 in words is "two million, five hundred forty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2087 4174 6261 12522 14609 29218 43827 60523 87654 121046 181569 363138 423661 847322 1270983 2541966