Search a number
-
+
20920648 = 237283643
BaseRepresentation
bin100111111001…
…1100101001000
31110100212201211
41033303211020
520323430043
62024222504
7342552100
oct117634510
943325654
1020920648
1110899aa1
12700aa34
1344464a8
142ac8200
151c83a9d
hex13f3948

20920648 has 48 divisors (see below), whose sum is σ = 46252080. Its totient is φ = 8844192.

The previous prime is 20920631. The next prime is 20920649. The reversal of 20920648 is 84602902.

It is not an unprimeable number, because it can be changed into a prime (20920649) 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 11 ways as a sum of consecutive naturals, for example, 32215 + ... + 32857.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 220920648 is an apocalyptic number.

20920648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20920648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23126040).

20920648 is an abundant number, since it is smaller than the sum of its proper divisors (25331432).

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

20920648 is a wasteful number, since it uses less digits than its factorization.

20920648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 20920648 is about 4573.9094875172. The cubic root of 20920648 is about 275.5444771917.

The spelling of 20920648 in words is "twenty million, nine hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 166 196 332 392 581 643 664 1162 1286 2324 2572 4067 4501 4648 5144 8134 9002 16268 18004 31507 32536 36008 53369 63014 106738 126028 213476 252056 373583 426952 747166 1494332 2615081 2988664 5230162 10460324 20920648