Search a number
-
+
1130651676 = 2233721119423
BaseRepresentation
bin100001101100100…
…0110000000011100
32220210112001112000
41003121012000130
54303421323201
6304105442300
740006244400
oct10331060034
92823461460
101130651676
11530250380
122767a0390
1315032347b
14aa23b100
15693dcd86
hex4364601c

1130651676 has 144 divisors (see below), whose sum is σ = 3720084480. Its totient is φ = 293660640.

The previous prime is 1130651651. The next prime is 1130651719. The reversal of 1130651676 is 6761560311.

1130651676 is a `hidden beast` number, since 1 + 130 + 6 + 516 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1130651676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48501 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (25833920).

Almost surely, 21130651676 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 1130651676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860042240).

1130651676 is an abundant number, since it is smaller than the sum of its proper divisors (2589432804).

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

1130651676 is a wasteful number, since it uses less digits than its factorization.

1130651676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1130651676 is about 33625.1643267360. The cubic root of 1130651676 is about 1041.7806268437.

The spelling of 1130651676 in words is "one billion, one hundred thirty million, six hundred fifty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 19423 29106 38846 58212 58269 77692 116538 135961 174807 213653 233076 271922 349614 407883 427306 524421 543844 640959 699228 815766 854612 951727 1048842 1223649 1281918 1495571 1631532 1903454 1922877 2097684 2447298 2563836 2855181 2991142 3670947 3806908 3845754 4486713 4894596 5710362 5768631 5982284 7341894 7691508 8565543 8973426 10468997 11420724 11537262 13460139 14683788 17131086 17946852 20937994 23074524 25696629 26920278 31406991 34262172 40380417 41875988 51393258 53840556 62813982 80760834 94220973 102786516 125627964 161521668 188441946 282662919 376883892 565325838 1130651676