Search a number
-
+
21024032 = 2519151229
BaseRepresentation
bin101000000110…
…0110100100000
31110120010112212
41100030310200
520340232112
62030341252
7343462361
oct120146440
943503485
1021024032
111095a737
12705a828
134481573
142b13b68
151ca4522
hex140cd20

21024032 has 48 divisors (see below), whose sum is σ = 44049600. Its totient is φ = 9849600.

The previous prime is 21023971. The next prime is 21024067. The reversal of 21024032 is 23042012.

It is a junction number, because it is equal to n+sod(n) for n = 21023998 and 21024016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91694 + ... + 91922.

It is an arithmetic number, because the mean of its divisors is an integer number (917700).

Almost surely, 221024032 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 21024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024800).

21024032 is an abundant number, since it is smaller than the sum of its proper divisors (23025568).

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

21024032 is a wasteful number, since it uses less digits than its factorization.

21024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 21024032 is about 4585.1970513818. The cubic root of 21024032 is about 275.9976195272.

Adding to 21024032 its reverse (23042012), we get a palindrome (44066044).

It can be divided in two parts, 210 and 24032, that added together give a palindrome (24242).

The spelling of 21024032 in words is "twenty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 151 152 229 302 304 458 604 608 916 1208 1832 2416 2869 3664 4351 4832 5738 7328 8702 11476 17404 22952 34579 34808 45904 69158 69616 91808 138316 139232 276632 553264 657001 1106528 1314002 2628004 5256008 10512016 21024032