Search a number
-
+
20108672 = 271271237
BaseRepresentation
bin100110010110…
…1010110000000
31101211121220122
41030231112000
520121434142
61554555412
7332630603
oct114552600
941747818
1020108672
1110394a41
126898b68
134220a2c
14295633a
151b731d2
hex132d580

20108672 has 32 divisors (see below), whose sum is σ = 40408320. Its totient is φ = 9967104.

The previous prime is 20108657. The next prime is 20108729. The reversal of 20108672 is 27680102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15638 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (1262760).

Almost surely, 220108672 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 20108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204160).

20108672 is an abundant number, since it is smaller than the sum of its proper divisors (20299648).

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

20108672 is a wasteful number, since it uses less digits than its factorization.

20108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 20108672 is about 4484.2693942269. The cubic root of 20108672 is about 271.9325092066.

Adding to 20108672 its reverse (27680102), we get a palindrome (47788774).

The spelling of 20108672 in words is "twenty million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 1237 2032 2474 4064 4948 8128 9896 16256 19792 39584 79168 157099 158336 314198 628396 1256792 2513584 5027168 10054336 20108672