Search a number
-
+
1115382920 = 2351729163347
BaseRepresentation
bin100001001111011…
…0110010010001000
32212201210022201112
41002132312102020
54241014223140
6302402305452
736432412151
oct10236662210
92781708645
101115382920
11522671773
12271658288
1314a1086c2
14a81c4928
1567dc3c65
hex427b6488

1115382920 has 128 divisors (see below), whose sum is σ = 2773699200. Its totient is φ = 401780736.

The previous prime is 1115382911. The next prime is 1115382923. The reversal of 1115382920 is 292835111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1115382923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3214187 + ... + 3214533.

It is an arithmetic number, because the mean of its divisors is an integer number (21669525).

Almost surely, 21115382920 is an apocalyptic number.

1115382920 is a gapful number since it is divisible by the number (10) 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 1115382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386849600).

1115382920 is an abundant number, since it is smaller than the sum of its proper divisors (1658316280).

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

1115382920 is a wasteful number, since it uses less digits than its factorization.

1115382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 1115382920 is about 33397.3489965895. The cubic root of 1115382920 is about 1037.0698215631.

The spelling of 1115382920 in words is "one billion, one hundred fifteen million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 163 170 232 290 326 340 347 493 580 652 680 694 815 986 1160 1304 1388 1630 1735 1972 2465 2771 2776 3260 3470 3944 4727 4930 5542 5899 6520 6940 9454 9860 10063 11084 11798 13855 13880 18908 19720 20126 22168 23596 23635 27710 29495 37816 40252 47192 47270 50315 55420 56561 58990 80359 80504 94540 100630 110840 113122 117980 160718 171071 189080 201260 226244 235960 282805 321436 342142 401795 402520 452488 565610 642872 684284 803590 855355 961537 1131220 1368568 1607180 1640269 1710710 1923074 2262440 3214360 3280538 3421420 3846148 4807685 6561076 6842840 7692296 8201345 9615370 13122152 16402690 19230740 27884573 32805380 38461480 55769146 65610760 111538292 139422865 223076584 278845730 557691460 1115382920