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1683239712 = 2537112127163
BaseRepresentation
bin110010001010100…
…0011001100100000
311100022022102210120
41210111003030200
511421402132322
6435005400240
756466205260
oct14425031440
94308272716
101683239712
11794165a00
123ab869080
1320a95b93b
1411d7a17a0
159cb92a5c
hex64543320

1683239712 has 288 divisors, whose sum is σ = 5628542976. Its totient is φ = 431101440.

The previous prime is 1683239689. The next prime is 1683239743. The reversal of 1683239712 is 2179323861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 10326543 + ... + 10326705.

It is an arithmetic number, because the mean of its divisors is an integer number (19543552).

Almost surely, 21683239712 is an apocalyptic number.

1683239712 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 1683239712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814271488).

1683239712 is an abundant number, since it is smaller than the sum of its proper divisors (3945303264).

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

1683239712 is a wasteful number, since it uses less digits than its factorization.

1683239712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 1683239712 is about 41027.3044690972. The cubic root of 1683239712 is about 1189.5480504884.

The spelling of 1683239712 in words is "one billion, six hundred eighty-three million, two hundred thirty-nine thousand, seven hundred twelve".