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1084704012 = 2232723316037
BaseRepresentation
bin100000010100111…
…0100010100001100
32210121001200011200
41000221310110030
54210141012022
6255344545500
735610555240
oct10051642414
92717050150
101084704012
115073181a7
12263322290
131439566c2
14a40ba420
1565363bac
hex40a7450c

1084704012 has 144 divisors (see below), whose sum is σ = 3375869952. Its totient is φ = 286830720.

The previous prime is 1084704011. The next prime is 1084704037. The reversal of 1084704012 is 2104074801.

It is a super-2 number, since 2×10847040122 = 2353165587297792288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1084704011) 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, 176658 + ... + 182694.

Almost surely, 21084704012 is an apocalyptic number.

1084704012 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 1084704012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687934976).

1084704012 is an abundant number, since it is smaller than the sum of its proper divisors (2291165940).

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

1084704012 is a wasteful number, since it uses less digits than its factorization.

1084704012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1084704012 is about 32934.8449518136. The cubic root of 1084704012 is about 1027.4729934117.

Adding to 1084704012 its reverse (2104074801), we get a palindrome (3188778813).

The spelling of 1084704012 in words is "one billion, eighty-four million, seven hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 207 217 252 276 279 322 372 414 434 483 558 644 651 713 828 868 966 1116 1302 1426 1449 1932 1953 2139 2604 2852 2898 3906 4278 4991 5796 6037 6417 7812 8556 9982 12074 12834 14973 18111 19964 24148 25668 29946 36222 42259 44919 54333 59892 72444 84518 89838 108666 126777 138851 169036 179676 187147 217332 253554 277702 374294 380331 416553 507108 555404 561441 748588 760662 833106 971957 1122882 1249659 1310029 1521324 1666212 1684323 1943914 2245764 2499318 2620058 2915871 3368646 3887828 3930087 4304381 4998636 5240116 5831742 6737292 7860174 8608762 8747613 11663484 11790261 12913143 15720348 17217524 17495226 23580522 25826286 30130667 34990452 38739429 47161044 51652572 60261334 77478858 90392001 120522668 154957716 180784002 271176003 361568004 542352006 1084704012