Search a number
-
+
1130786892 = 22361722811
BaseRepresentation
bin100001101100110…
…0111000001001100
32220210202221000000
41003121213001030
54303440140032
6304112404300
740010346534
oct10331470114
92823687000
101130786892
11530332a24
12276846690
1315036cb91
14aa2744c4
1569417e7c
hex4366704c

1130786892 has 84 divisors (see below), whose sum is σ = 3141623016. Its totient is φ = 354741120.

The previous prime is 1130786887. The next prime is 1130786911. The reversal of 1130786892 is 2986870311.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 38167 + ... + 60977.

It is an arithmetic number, because the mean of its divisors is an integer number (37400274).

Almost surely, 21130786892 is an apocalyptic number.

1130786892 is a gapful number since it is divisible by the number (12) 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 1130786892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570811508).

1130786892 is an abundant number, since it is smaller than the sum of its proper divisors (2010836124).

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

1130786892 is a wasteful number, since it uses less digits than its factorization.

1130786892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22850 (or 22833 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1130786892 is about 33627.1749036401. The cubic root of 1130786892 is about 1041.8221544563.

The spelling of 1130786892 in words is "one billion, one hundred thirty million, seven hundred eighty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2754 2916 4131 5508 8262 12393 16524 22811 24786 45622 49572 68433 91244 136866 205299 273732 387787 410598 615897 775574 821196 1163361 1231794 1551148 1847691 2326722 2463588 3490083 3695382 4653444 5543073 6980166 7390764 10470249 11086146 13960332 16629219 20940498 22172292 31410747 33258438 41880996 62821494 66516876 94232241 125642988 188464482 282696723 376928964 565393446 1130786892