Search a number
-
+
20112768 = 2732131779
BaseRepresentation
bin100110010111…
…0010110000000
31101211211112100
41030232112000
520122102033
61555030400
7332645544
oct114562600
941754470
1020112768
1110398025
12689b400
134222860
142957a24
151b74513
hex132e580

20112768 has 192 divisors, whose sum is σ = 66830400. Its totient is φ = 5750784.

The previous prime is 20112767. The next prime is 20112779. The reversal of 20112768 is 86721102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254553 + ... + 254631.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 220112768 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 20112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

20112768 is an abundant number, since it is smaller than the sum of its proper divisors (46717632).

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

20112768 is a wasteful number, since it uses less digits than its factorization.

20112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20112768 is about 4484.7260785916. The cubic root of 20112768 is about 271.9509715552.

The spelling of 20112768 in words is "twenty million, one hundred twelve thousand, seven hundred sixty-eight".