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1084687812 = 22321329229349
BaseRepresentation
bin100000010100111…
…0000010111000100
32210121000211221200
41000221300113010
54210140002222
6255344342500
735610460065
oct10051602704
92717024850
101084687812
1150730700a
12263314a30
1314394c210
14a40b456c
156535deac
hex40a705c4

1084687812 has 144 divisors (see below), whose sum is σ = 3076710000. Its totient is φ = 319915008.

The previous prime is 1084687753. The next prime is 1084687817. The reversal of 1084687812 is 2187864801.

1084687812 is a `hidden beast` number, since 108 + 468 + 7 + 81 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42302016 + 1042385796 = 6504^2 + 32286^2 .

It is not an unprimeable number, because it can be changed into a prime (1084687817) by changing a digit.

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, 3107814 + ... + 3108162.

Almost surely, 21084687812 is an apocalyptic number.

1084687812 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 1084687812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538355000).

1084687812 is an abundant number, since it is smaller than the sum of its proper divisors (1992022188).

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

1084687812 is a wasteful number, since it uses less digits than its factorization.

1084687812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1084687812 is about 32934.5990107668. The cubic root of 1084687812 is about 1027.4678783003.

The spelling of 1084687812 in words is "one billion, eighty-four million, six hundred eighty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 229 234 261 348 349 377 458 468 522 687 698 754 916 1044 1047 1131 1374 1396 1508 2061 2094 2262 2748 2977 3141 3393 4122 4188 4524 4537 5954 6282 6641 6786 8244 8931 9074 10121 11908 12564 13282 13572 13611 17862 18148 19923 20242 26564 26793 27222 30363 35724 39846 40484 40833 53586 54444 59769 60726 79692 79921 81666 86333 91089 107172 119538 121452 131573 159842 163332 172666 182178 239076 239763 258999 263146 319684 345332 364356 394719 479526 517998 526292 719289 776997 789438 959052 1035996 1038973 1184157 1438578 1553994 1578876 2077946 2317709 2368314 2877156 3107988 3116919 4155892 4635418 4736628 6233838 6953127 9270836 9350757 12467676 13906254 18701514 20859381 27812508 30130217 37403028 41718762 60260434 83437524 90390651 120520868 180781302 271171953 361562604 542343906 1084687812