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1683680128 = 27131011827
BaseRepresentation
bin110010001011010…
…1110101110000000
311100100010210221021
41210112232232000
511422010231003
6435023035224
756503021264
oct14426565600
94310123837
101683680128
11794436889
123aba3bb14
1320aa84240
1411d8780a4
159cc2d2bd
hex645aeb80

1683680128 has 32 divisors (see below), whose sum is σ = 3612225960. Its totient is φ = 777082368.

The previous prime is 1683680123. The next prime is 1683680147. The reversal of 1683680128 is 8210863861.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683680123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504250 + ... + 507577.

Almost surely, 21683680128 is an apocalyptic number.

It is an amenable number.

1683680128 is an abundant number, since it is smaller than the sum of its proper divisors (1928545832).

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

1683680128 is a wasteful number, since it uses less digits than its factorization.

1683680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011854 (or 1011842 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 1683680128 is about 41032.6714704271. The cubic root of 1683680128 is about 1189.6517889924.

The spelling of 1683680128 in words is "one billion, six hundred eighty-three million, six hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1011827 2023654 4047308 8094616 13153751 16189232 26307502 32378464 52615004 64756928 105230008 129513856 210460016 420920032 841840064 1683680128