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1083328512 = 2113725189
BaseRepresentation
bin100000010010010…
…0100100000000000
32210111110210100020
41000210210200000
54204313003022
6255255253440
735563066110
oct10044444000
92714423306
101083328512
11506568822
1226297a280
131435945b6
14a3c3d040
156519135c
hex40924800

1083328512 has 96 divisors (see below), whose sum is σ = 3300897600. Its totient is φ = 309510144.

The previous prime is 1083328469. The next prime is 1083328523. The reversal of 1083328512 is 2158233801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30414 + ... + 55602.

It is an arithmetic number, because the mean of its divisors is an integer number (34384350).

Almost surely, 21083328512 is an apocalyptic number.

1083328512 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 1083328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650448800).

1083328512 is an abundant number, since it is smaller than the sum of its proper divisors (2217569088).

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

1083328512 is an equidigital number, since it uses as much as digits as its factorization.

1083328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25221 (or 25201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1083328512 is about 32913.9561888266. The cubic root of 1083328512 is about 1027.0385010219.

The spelling of 1083328512 in words is "one billion, eighty-three million, three hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 25189 43008 50378 75567 100756 151134 176323 201512 302268 352646 403024 528969 604536 705292 806048 1057938 1209072 1410584 1612096 2115876 2418144 2821168 3224192 4231752 4836288 5642336 6448384 8463504 9672576 11284672 12896768 16927008 19345152 22569344 25793536 33854016 38690304 45138688 51587072 67708032 77380608 90277376 135416064 154761216 180554752 270832128 361109504 541664256 1083328512