Search a number
-
+
21000714 = 2372611171
BaseRepresentation
bin101000000011…
…1001000001010
31110111221120020
41100013020022
520334010324
62030041310
7343334400
oct120071012
943457506
1021000714
1110944169
127049236
134473a77
142b09470
151c9c679
hex140720a

21000714 has 48 divisors (see below), whose sum is σ = 49702176. Its totient is φ = 5896800.

The previous prime is 21000709. The next prime is 21000731. The reversal of 21000714 is 41700012.

It is a junction number, because it is equal to n+sod(n) for n = 21000693 and 21000702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17349 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (1035462).

Almost surely, 221000714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851088).

21000714 is an abundant number, since it is smaller than the sum of its proper divisors (28701462).

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

21000714 is a wasteful number, since it uses less digits than its factorization.

21000714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 21000714 is about 4582.6535980805. The cubic root of 21000714 is about 275.8955443834.

Adding to 21000714 its reverse (41700012), we get a palindrome (62700726).

The spelling of 21000714 in words is "twenty-one million, seven hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1171 1281 2342 2562 2989 3513 5978 7026 8197 8967 16394 17934 24591 49182 57379 71431 114758 142862 172137 214293 344274 428586 500017 1000034 1500051 3000102 3500119 7000238 10500357 21000714