Search a number
-
+
1110011994 = 2327213131739
BaseRepresentation
bin100001000101001…
…0111000001011010
32212100200110012100
41002022113001122
54233130340434
6302051224230
736335642400
oct10212270132
92770613170
101110011994
1151a633493
1226b8a8076
13148c77b40
14a75c7470
15676b2699
hex4229705a

1110011994 has 144 divisors (see below), whose sum is σ = 3039996960. Its totient is φ = 290122560.

The previous prime is 1110011989. The next prime is 1110012011. The reversal of 1110011994 is 4991100111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1501677 + ... + 1502415.

It is an arithmetic number, because the mean of its divisors is an integer number (21111090).

Almost surely, 21110011994 is an apocalyptic number.

1110011994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110011994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519998480).

1110011994 is an abundant number, since it is smaller than the sum of its proper divisors (1929984966).

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

1110011994 is a wasteful number, since it uses less digits than its factorization.

1110011994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The square root of 1110011994 is about 33316.8424974516. The cubic root of 1110011994 is about 1035.4025347363.

The spelling of 1110011994 in words is "one billion, one hundred ten million, eleven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 131 147 182 234 262 273 294 393 441 546 637 739 786 819 882 917 1179 1274 1478 1638 1703 1834 1911 2217 2358 2751 3406 3822 4434 5109 5173 5502 5733 6419 6651 8253 9607 10218 10346 11466 11921 12838 13302 15327 15519 16506 19214 19257 23842 28821 30654 31038 35763 36211 38514 46557 57642 57771 67249 71526 72422 83447 86463 93114 96809 107289 108633 115542 134498 166894 172926 193618 201747 214578 217266 250341 290427 325899 403494 470743 500682 580854 605241 651798 677663 751023 871281 941486 1210482 1258517 1355326 1412229 1502046 1742562 2032989 2517034 2824458 3775551 4065978 4236687 4743641 6098967 7551102 8473374 8809619 9487282 11326653 12197934 14230923 17619238 22653306 26428857 28461846 42692769 52857714 61667333 79286571 85385538 123334666 158573142 185001999 370003998 555005997 1110011994