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1084083984 = 243254713763
BaseRepresentation
bin100000010011101…
…1100111100010000
32210112220011122200
41000213130330100
54210011141414
6255323403200
735602363464
oct10047347420
92715804580
101084083984
11506a34385
12263083500
1314379a419
14a3d984a4
1565290109
hex409dcf10

1084083984 has 60 divisors (see below), whose sum is σ = 3039696816. Its totient is φ = 360674496.

The previous prime is 1084083971. The next prime is 1084083989. The reversal of 1084083984 is 4893804801.

It is not an unprimeable number, because it can be changed into a prime (1084083989) 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 11 ways as a sum of consecutive naturals, for example, 71887 + ... + 85649.

Almost surely, 21084083984 is an apocalyptic number.

It is an amenable number.

1084083984 is an abundant number, since it is smaller than the sum of its proper divisors (1955612832).

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

1084083984 is a wasteful number, since it uses less digits than its factorization.

1084083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14324 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1084083984 is about 32925.4306577758. The cubic root of 1084083984 is about 1027.2771847117.

The spelling of 1084083984 in words is "one billion, eighty-four million, eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 547 1094 1641 2188 3282 4376 4923 6564 8752 9846 13128 13763 19692 26256 27526 39384 41289 55052 78768 82578 110104 123867 165156 220208 247734 330312 495468 660624 990936 1981872 7528361 15056722 22585083 30113444 45170166 60226888 67755249 90340332 120453776 135510498 180680664 271020996 361361328 542041992 1084083984