Search a number
-
+
20528032 = 257113811
BaseRepresentation
bin100111001001…
…1101110100000
31102121221011111
41032103232200
520223344112
62011553104
7336325330
oct116235640
942557144
1020528032
1110651018
126a5b794
134339885
142a250c0
151c075a7
hex1393ba0

20528032 has 48 divisors (see below), whose sum is σ = 46654272. Its totient is φ = 8709120.

The previous prime is 20528023. The next prime is 20528033. The reversal of 20528032 is 23082502.

It is a junction number, because it is equal to n+sod(n) for n = 20527994 and 20528012.

It is not an unprimeable number, because it can be changed into a prime (20528033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24907 + ... + 25717.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 220528032 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 20528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23327136).

20528032 is an abundant number, since it is smaller than the sum of its proper divisors (26126240).

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

20528032 is a wasteful number, since it uses less digits than its factorization.

20528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 20528032 is about 4530.7871280827. The cubic root of 20528032 is about 273.8098739646.

The spelling of 20528032 in words is "twenty million, five hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 811 904 1582 1622 1808 3164 3244 3616 5677 6328 6488 11354 12656 12976 22708 25312 25952 45416 90832 91643 181664 183286 366572 641501 733144 1283002 1466288 2566004 2932576 5132008 10264016 20528032