Search a number
-
+
20902016 = 27612677
BaseRepresentation
bin100111110111…
…1000010000000
31110022221011202
41033233002000
520322331031
62024000332
7342443552
oct117570200
943287152
1020902016
1110886aa3
1270000a8
13443ab75
142ac14d2
151c7d2cb
hex13ef080

20902016 has 32 divisors (see below), whose sum is σ = 42339180. Its totient is φ = 10275840.

The previous prime is 20901961. The next prime is 20902019. The reversal of 20902016 is 61020902.

It can be written as a sum of positive squares in 2 ways, for example, as 13719616 + 7182400 = 3704^2 + 2680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (20902019) 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 3 ways as a sum of consecutive naturals, for example, 6470 + ... + 9146.

Almost surely, 220902016 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 20902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21169590).

20902016 is an abundant number, since it is smaller than the sum of its proper divisors (21437164).

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

20902016 is an equidigital number, since it uses as much as digits as its factorization.

20902016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 20902016 is about 4571.8722641824. The cubic root of 20902016 is about 275.4626526141.

Adding to 20902016 its reverse (61020902), we get a palindrome (81922918).

The spelling of 20902016 in words is "twenty million, nine hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 2677 3904 5354 7808 10708 21416 42832 85664 163297 171328 326594 342656 653188 1306376 2612752 5225504 10451008 20902016