Search a number
-
+
1130948784 = 24337616131
BaseRepresentation
bin100001101101000…
…1110100010110000
32220211002011002000
41003122032202300
54304010330114
6304120054000
740011622530
oct10332164260
92824064060
101130948784
11530433619
12276904300
131503c8784
14aa2b74c0
156944ae09
hex4368e8b0

1130948784 has 160 divisors (see below), whose sum is σ = 3771425280. Its totient is φ = 317779200.

The previous prime is 1130948773. The next prime is 1130948839. The reversal of 1130948784 is 4878490311.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 181399 + ... + 187529.

It is an arithmetic number, because the mean of its divisors is an integer number (23571408).

Almost surely, 21130948784 is an apocalyptic number.

1130948784 is a gapful number since it is divisible by the number (14) 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 1130948784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885712640).

1130948784 is an abundant number, since it is smaller than the sum of its proper divisors (2640476496).

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

1130948784 is a wasteful number, since it uses less digits than its factorization.

1130948784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1130948784 is about 33629.5819777766. The cubic root of 1130948784 is about 1041.8718704623.

The spelling of 1130948784 in words is "one billion, one hundred thirty million, nine hundred forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 488 504 549 732 756 854 976 1008 1098 1281 1464 1512 1647 1708 2196 2562 2928 3024 3294 3416 3843 4392 5124 6131 6588 6832 7686 8784 10248 11529 12262 13176 15372 18393 20496 23058 24524 26352 30744 36786 42917 46116 49048 55179 61488 73572 85834 92232 98096 110358 128751 147144 165537 171668 184464 220716 257502 294288 331074 343336 373991 386253 441432 515004 662148 686672 747982 772506 882864 1030008 1121973 1158759 1324296 1495964 1545012 2060016 2243946 2317518 2617937 2648592 2991928 3090024 3365919 4487892 4635036 5235874 5983856 6180048 6731838 7853811 8975784 9270072 10097757 10471748 13463676 15707622 17951568 18540144 20195514 20943496 23561433 26927352 31415244 40391028 41886992 47122866 53854704 62830488 70684299 80782056 94245732 125660976 141368598 161564112 188491464 282737196 376982928 565474392 1130948784