Search a number
-
+
20162766 = 23132311239
BaseRepresentation
bin100110011101…
…0100011001110
31101221101010010
41030322203032
520130202031
62000054050
7333244401
oct114724316
941841103
1020162766
1110421648
126904326
13423c540
14296bd38
151b84246
hex133a8ce

20162766 has 32 divisors (see below), whose sum is σ = 45319680. Its totient is φ = 5933664.

The previous prime is 20162761. The next prime is 20162767. The reversal of 20162766 is 66726102.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20162761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3826 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (1416240).

Almost surely, 220162766 is an apocalyptic number.

20162766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20162766 is an abundant number, since it is smaller than the sum of its proper divisors (25156914).

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

20162766 is a wasteful number, since it uses less digits than its factorization.

20162766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20162766 is about 4490.2968721455. The cubic root of 20162766 is about 272.1761312374.

Adding to 20162766 its reverse (66726102), we get a palindrome (86888868).

The spelling of 20162766 in words is "twenty million, one hundred sixty-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 11239 22478 33717 67434 146107 258497 292214 438321 516994 775491 876642 1550982 3360461 6720922 10081383 20162766