Search a number
-
+
20635626 = 2311833767
BaseRepresentation
bin100111010110…
…1111111101010
31102211101202110
41032231333222
520240320001
62014143150
7340254114
oct116557752
942741673
1020635626
1110714940
126ab1ab6
13437683b
142a523b4
151c293d6
hex13adfea

20635626 has 32 divisors (see below), whose sum is σ = 45577728. Its totient is φ = 6176240.

The previous prime is 20635597. The next prime is 20635627. The reversal of 20635626 is 62653602.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20635593 and 20635602.

It is not an unprimeable number, because it can be changed into a prime (20635627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595 + ... + 7361.

It is an arithmetic number, because the mean of its divisors is an integer number (1424304).

Almost surely, 220635626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20635626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788864).

20635626 is an abundant number, since it is smaller than the sum of its proper divisors (24942102).

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

20635626 is a wasteful number, since it uses less digits than its factorization.

20635626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 20635626 is about 4542.6452646008. The cubic root of 20635626 is about 274.2874157416.

The spelling of 20635626 in words is "twenty million, six hundred thirty-five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 3767 5478 7534 11301 22602 41437 82874 124311 248622 312661 625322 937983 1875966 3439271 6878542 10317813 20635626