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1683065790 = 234571719919
BaseRepresentation
bin110010001010001…
…1000101110111110
311100021222121020000
41210110120232332
511421331101130
6435001535130
756464552230
oct14424305676
94307877200
101683065790
1179405726a
123ab7a44a6
1320a8ca723
1411d758250
159cb5b260
hex64518bbe

1683065790 has 320 divisors, whose sum is σ = 5770828800. Its totient is φ = 342641664.

The previous prime is 1683065789. The next prime is 1683065803. The reversal of 1683065790 is 975603861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1830951 + ... + 1831869.

It is an arithmetic number, because the mean of its divisors is an integer number (18033840).

Almost surely, 21683065790 is an apocalyptic number.

1683065790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683065790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885414400).

1683065790 is an abundant number, since it is smaller than the sum of its proper divisors (4087763010).

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

1683065790 is a wasteful number, since it uses less digits than its factorization.

1683065790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1683065790 is about 41025.1848259091. The cubic root of 1683065790 is about 1189.5070787638.

The spelling of 1683065790 in words is "one billion, six hundred eighty-three million, sixty-five thousand, seven hundred ninety".