Search a number
-
+
1115287296 = 28323103613
BaseRepresentation
bin100001001111001…
…1110111100000000
32212201121110112220
41002132132330000
54241003143141
6302400251040
736431533314
oct10236367400
92781543486
101115287296
11522606942
12271610a80
1314a0a4016
14a819bb44
1567da5766
hex4279ef00

1115287296 has 144 divisors (see below), whose sum is σ = 3132519936. Its totient is φ = 351571968.

The previous prime is 1115287291. The next prime is 1115287297. The reversal of 1115287296 is 6927825111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115287291) 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, 1819086 + ... + 1819698.

Almost surely, 21115287296 is an apocalyptic number.

1115287296 is a gapful number since it is divisible by the number (16) 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 1115287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566259968).

1115287296 is an abundant number, since it is smaller than the sum of its proper divisors (2017232640).

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

1115287296 is a wasteful number, since it uses less digits than its factorization.

1115287296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 1115287296 is about 33395.9173552696. The cubic root of 1115287296 is about 1037.0401840287.

The spelling of 1115287296 in words is "one billion, one hundred fifteen million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 128 138 184 192 206 256 276 309 368 384 412 552 613 618 736 768 824 1104 1226 1236 1472 1648 1839 2208 2369 2452 2472 2944 3296 3678 4416 4738 4904 4944 5888 6592 7107 7356 8832 9476 9808 9888 13184 14099 14214 14712 17664 18952 19616 19776 26368 28198 28428 29424 37904 39232 39552 42297 56396 56856 58848 63139 75808 78464 79104 84594 112792 113712 117696 126278 151616 156928 169188 189417 225584 227424 235392 252556 303232 338376 378834 451168 454848 470784 505112 606464 676752 757668 902336 909696 1010224 1353504 1452197 1515336 1804672 1819392 2020448 2707008 2904394 3030672 3609344 4040896 4356591 5414016 5808788 6061344 8081792 8713182 10828032 11617576 12122688 16163584 17426364 23235152 24245376 34852728 46470304 48490752 69705456 92940608 139410912 185881216 278821824 371762432 557643648 1115287296