Search a number
-
+
1200538108 = 2271147239347
BaseRepresentation
bin100011110001110…
…1100000111111100
310002200000122200101
41013203230013330
54424314204413
6315043410444
741515256050
oct10743540774
93080018611
101200538108
11566744060
12296083a24
131619523a3
14b562dc60
15705e4edd
hex478ec1fc

1200538108 has 96 divisors (see below), whose sum is σ = 2694021120. Its totient is φ = 454560960.

The previous prime is 1200538091. The next prime is 1200538121. The reversal of 1200538108 is 8018350021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459591 + ... + 3459937.

It is an arithmetic number, because the mean of its divisors is an integer number (28062720).

Almost surely, 21200538108 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 1200538108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347010560).

1200538108 is an abundant number, since it is smaller than the sum of its proper divisors (1493483012).

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

1200538108 is a wasteful number, since it uses less digits than its factorization.

1200538108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1200538108 is about 34648.7822008220. The cubic root of 1200538108 is about 1062.8173857452.

Adding to 1200538108 its reverse (8018350021), we get a palindrome (9218888129).

The spelling of 1200538108 in words is "one billion, two hundred million, five hundred thirty-eight thousand, one hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 239 308 329 347 478 517 658 694 956 1034 1316 1388 1673 2068 2429 2629 3346 3619 3817 4858 5258 6692 7238 7634 9716 10516 11233 14476 15268 16309 18403 22466 26719 32618 36806 44932 53438 65236 73612 78631 82933 106876 114163 123563 157262 165866 179399 228326 247126 314524 331732 358798 456652 494252 580531 717596 864941 912263 1161062 1255793 1729882 1824526 2322124 2511586 3459764 3649052 3897851 5023172 6385841 7795702 12771682 15591404 25543364 27284957 42876361 54569914 85752722 109139828 171505444 300134527 600269054 1200538108