Search a number
-
+
21586266 = 23213293181
BaseRepresentation
bin101001001011…
…0000101011010
31111121200210100
41102112011122
521011230031
62050400230
7351323502
oct122260532
944550710
1021586266
1111204099
127290076
13461a450
142c1ca02
151d65de6
hex149615a

21586266 has 48 divisors (see below), whose sum is σ = 52121160. Its totient is φ = 6410880.

The previous prime is 21586249. The next prime is 21586267. The reversal of 21586266 is 66268512.

21586266 is a `hidden beast` number, since 21 + 5 + 8 + 626 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9828225 + 11758041 = 3135^2 + 3429^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21586266.

It is not an unprimeable number, because it can be changed into a prime (21586267) 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 23 ways as a sum of consecutive naturals, for example, 5196 + ... + 8376.

Almost surely, 221586266 is an apocalyptic number.

21586266 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21586266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060580).

21586266 is an abundant number, since it is smaller than the sum of its proper divisors (30534894).

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

21586266 is a wasteful number, since it uses less digits than its factorization.

21586266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3228 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21586266 is about 4646.1022373598. The cubic root of 21586266 is about 278.4362919642.

The spelling of 21586266 in words is "twenty-one million, five hundred eighty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3181 3393 6362 6786 9543 19086 28629 41353 57258 82706 92249 124059 184498 248118 276747 372177 553494 744354 830241 1199237 1660482 2398474 3597711 7195422 10793133 21586266