Search a number
-
+
21681618 = 2372292543
BaseRepresentation
bin101001010110…
…1010111010010
31111210112120220
41102231113102
521022302433
62052413510
7352201500
oct122552722
944715526
1021681618
11112697a2
127317296
13465197a
142c45670
151d842b3
hex14ad5d2

21681618 has 48 divisors (see below), whose sum is σ = 52202880. Its totient is φ = 5978784.

The previous prime is 21681599. The next prime is 21681619. The reversal of 21681618 is 81618612.

It is not an unprimeable number, because it can be changed into a prime (21681619) 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 23 ways as a sum of consecutive naturals, for example, 7255 + ... + 9797.

It is an arithmetic number, because the mean of its divisors is an integer number (1087560).

Almost surely, 221681618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21681618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101440).

21681618 is an abundant number, since it is smaller than the sum of its proper divisors (30521262).

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

21681618 is a wasteful number, since it uses less digits than its factorization.

21681618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2584 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 21681618 is about 4656.3524351149. The cubic root of 21681618 is about 278.8456643104.

The spelling of 21681618 in words is "twenty-one million, six hundred eighty-one thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2543 2842 4263 5086 7629 8526 15258 17801 35602 53403 73747 106806 124607 147494 221241 249214 373821 442482 516229 747642 1032458 1548687 3097374 3613603 7227206 10840809 21681618