Search a number
-
+
20722072 = 2373773137
BaseRepresentation
bin100111100001…
…1000110011000
31102222210100011
41033003012120
520301101242
62020051304
7341064130
oct117030630
942883304
1020722072
1110773888
126b33b34
1343a6ca7
142a75ac0
151c44d17
hex13c3198

20722072 has 64 divisors (see below), whose sum is σ = 46566720. Its totient is φ = 8460288.

The previous prime is 20722007. The next prime is 20722073. The reversal of 20722072 is 27022702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20722073) 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 15 ways as a sum of consecutive naturals, for example, 151188 + ... + 151324.

It is an arithmetic number, because the mean of its divisors is an integer number (727605).

Almost surely, 220722072 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 20722072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23283360).

20722072 is an abundant number, since it is smaller than the sum of its proper divisors (25844648).

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

20722072 is a wasteful number, since it uses less digits than its factorization.

20722072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 20722072 is about 4552.1502611403. The cubic root of 20722072 is about 274.6698937106.

Adding to 20722072 its reverse (27022702), we get a palindrome (47744774).

It can be divided in two parts, 2072207 and 2, that multiplied together give a palindrome (4144414).

The spelling of 20722072 in words is "twenty million, seven hundred twenty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 37 56 73 74 137 146 148 259 274 292 296 511 518 548 584 959 1022 1036 1096 1918 2044 2072 2701 3836 4088 5069 5402 7672 10001 10138 10804 18907 20002 20276 21608 35483 37814 40004 40552 70007 70966 75628 80008 140014 141932 151256 280028 283864 370037 560056 740074 1480148 2590259 2960296 5180518 10361036 20722072