Search a number
-
+
21714032 = 241797823
BaseRepresentation
bin101001011010…
…1010001110000
31111212012001102
41102311101300
521024322112
62053223532
7352365134
oct122652160
944765042
1021714032
111129108a
127331ba8
134663652
142c533c4
151d8dbc2
hex14b5470

21714032 has 40 divisors (see below), whose sum is σ = 45059616. Its totient is φ = 10100736.

The previous prime is 21714031. The next prime is 21714041. The reversal of 21714032 is 23041712.

It is a junction number, because it is equal to n+sod(n) for n = 21713995 and 21714013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21714031) 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 7 ways as a sum of consecutive naturals, for example, 25973 + ... + 26795.

Almost surely, 221714032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21714032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529808).

21714032 is an abundant number, since it is smaller than the sum of its proper divisors (23345584).

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

21714032 is a wasteful number, since it uses less digits than its factorization.

21714032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 21714032 is about 4659.8317566195. The cubic root of 21714032 is about 278.9845531288.

Adding to 21714032 its reverse (23041712), we get a palindrome (44755744).

The spelling of 21714032 in words is "twenty-one million, seven hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 823 1552 1646 1649 3292 3298 6584 6596 13168 13192 13991 26384 27982 55964 79831 111928 159662 223856 319324 638648 1277296 1357127 2714254 5428508 10857016 21714032