Search a number
-
+
11420324208 = 24321133492011
BaseRepresentation
bin10101010001011010…
…00101000101110000
31002110220100120122200
422220231011011300
5141342100333313
65125121103200
7553002103566
oct125055050560
932426316580
1011420324208
114930525677
122268787b00
131100033ab7
147a4a45a36
1546c919b73
hex2a8b45170

11420324208 has 120 divisors (see below), whose sum is σ = 32352356400. Its totient is φ = 3760404480.

The previous prime is 11420324101. The next prime is 11420324221. The reversal of 11420324208 is 80242302411.

11420324208 is a `hidden beast` number, since 1 + 1 + 420 + 32 + 4 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677923 + ... + 5679933.

It is an arithmetic number, because the mean of its divisors is an integer number (269602970).

Almost surely, 211420324208 is an apocalyptic number.

11420324208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420324208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176178200).

11420324208 is an abundant number, since it is smaller than the sum of its proper divisors (20932032192).

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

11420324208 is a wasteful number, since it uses less digits than its factorization.

11420324208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11420324208 its reverse (80242302411), we get a palindrome (91662626619).

The spelling of 11420324208 in words is "eleven billion, four hundred twenty million, three hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 349 452 678 698 904 1017 1047 1356 1396 1808 2011 2034 2094 2712 2792 3141 4022 4068 4188 5424 5584 6033 6282 8044 8136 8376 12066 12564 16088 16272 16752 18099 24132 25128 32176 36198 39437 48264 50256 72396 78874 96528 118311 144792 157748 227243 236622 289584 315496 354933 454486 473244 630992 681729 701839 709866 908972 946488 1363458 1403678 1419732 1817944 1892976 2045187 2105517 2726916 2807356 2839464 3635888 4090374 4211034 5453832 5614712 5678928 6316551 8180748 8422068 10907664 11229424 12633102 16361496 16844136 25266204 32722992 33688272 50532408 79307807 101064816 158615614 237923421 317231228 475846842 634462456 713770263 951693684 1268924912 1427540526 1903387368 2855081052 3806774736 5710162104 11420324208