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20073768 = 23311135849
BaseRepresentation
bin100110010010…
…0110100101000
31101202212000220
41030210310220
520114330033
61554130040
7332424051
oct114446450
941685026
1020073768
11103707a0
126880920
13420ab90
142947728
151b67bb3
hex1324d28

20073768 has 64 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 5614080.

The previous prime is 20073749. The next prime is 20073769. The reversal of 20073768 is 86737002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20073769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508 + ... + 6356.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 220073768 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 20073768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20073768 is an abundant number, since it is smaller than the sum of its proper divisors (38894232).

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

20073768 is a wasteful number, since it uses less digits than its factorization.

20073768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 20073768 is about 4480.3758770889. The cubic root of 20073768 is about 271.7750807879.

It can be divided in two parts, 2007 and 3768, that added together give a palindrome (5775).

The spelling of 20073768 in words is "twenty million, seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 5849 11698 17547 23396 35094 46792 64339 70188 76037 128678 140376 152074 193017 228111 257356 304148 386034 456222 514712 608296 772068 836407 912444 1544136 1672814 1824888 2509221 3345628 5018442 6691256 10036884 20073768