Search a number
-
+
20051296 = 2517293141
BaseRepresentation
bin100110001111…
…1010101100000
31101201201012121
41030133111200
520113120141
61553434024
7332301406
oct114372540
941651177
1020051296
1110355921
12686b914
134200895
14293d476
151b611d1
hex131f560

20051296 has 96 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 8601600.

The previous prime is 20051293. The next prime is 20051303. The reversal of 20051296 is 69215002.

It is a self number, because there is not a number n which added to its sum of digits gives 20051296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20051293) 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, 489036 + ... + 489076.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 220051296 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 20051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

20051296 is an abundant number, since it is smaller than the sum of its proper divisors (25671584).

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

20051296 is a wasteful number, since it uses less digits than its factorization.

20051296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 20051296 is about 4477.8673495315. The cubic root of 20051296 is about 271.6736281520.

Adding to 20051296 its reverse (69215002), we get a palindrome (89266298).

The spelling of 20051296 in words is "twenty million, fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 31 32 34 41 58 62 68 82 116 124 136 164 232 248 272 328 464 493 496 527 544 656 697 899 928 986 992 1054 1189 1271 1312 1394 1798 1972 2108 2378 2542 2788 3596 3944 4216 4756 5084 5576 7192 7888 8432 9512 10168 11152 14384 15283 15776 16864 19024 20213 20336 21607 22304 28768 30566 36859 38048 40426 40672 43214 61132 73718 80852 86428 122264 147436 161704 172856 244528 294872 323408 345712 489056 589744 626603 646816 691424 1179488 1253206 2506412 5012824 10025648 20051296