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1082071116 = 223372732801
BaseRepresentation
bin100000001111111…
…0001100001001100
32210102002220112000
41000133301201030
54204002233431
6255212312300
735546311200
oct10037614114
92712086460
101082071116
1150588a055
12262472690
13143244189
14a39d2b00
1564ee39e6
hex407f184c

1082071116 has 144 divisors (see below), whose sum is σ = 3309274080. Its totient is φ = 304819200.

The previous prime is 1082071069. The next prime is 1082071117. The reversal of 1082071116 is 6111702801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1082071116.

It is not an unprimeable number, because it can be changed into a prime (1082071117) 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 47 ways as a sum of consecutive naturals, for example, 384916 + ... + 387716.

It is an arithmetic number, because the mean of its divisors is an integer number (22981070).

Almost surely, 21082071116 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 1082071116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654637040).

1082071116 is an abundant number, since it is smaller than the sum of its proper divisors (2227202964).

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

1082071116 is a wasteful number, since it uses less digits than its factorization.

1082071116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1082071116 is about 32894.8493840601. The cubic root of 1082071116 is about 1026.6409933892.

Adding to 1082071116 its reverse (6111702801), we get a palindrome (7193773917).

The spelling of 1082071116 in words is "one billion, eighty-two million, seventy-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 73 84 98 108 126 146 147 189 196 219 252 292 294 378 438 441 511 588 657 756 876 882 1022 1314 1323 1533 1764 1971 2044 2628 2646 2801 3066 3577 3942 4599 5292 5602 6132 7154 7884 8403 9198 10731 11204 13797 14308 16806 18396 19607 21462 25209 27594 32193 33612 39214 42924 50418 55188 58821 64386 75627 78428 96579 100836 117642 128772 137249 151254 176463 193158 204473 235284 274498 302508 352926 386316 408946 411747 529389 548996 613419 705852 817892 823494 1058778 1226838 1235241 1431311 1646988 1840257 2117556 2453676 2470482 2862622 3680514 3705723 4293933 4940964 5520771 5725244 7361028 7411446 8587866 10019177 11041542 12881799 14822892 17175732 20038354 22083084 25763598 30057531 38645397 40076708 51527196 60115062 77290794 90172593 120230124 154581588 180345186 270517779 360690372 541035558 1082071116