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83000704 = 27719133
BaseRepresentation
bin1001111001001…
…11110110000000
312210011212120011
410330213312000
5132222010304
612122554304
72025331363
oct474476600
9183155504
1083000704
1142940726
1223968994
1314271157
14b0480da
157447c04
hex4f27d80

83000704 has 32 divisors (see below), whose sum is σ = 167700240. Its totient is φ = 40911360.

The previous prime is 83000699. The next prime is 83000773. The reversal of 83000704 is 40700038.

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

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4522 + ... + 13654.

Almost surely, 283000704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83850120).

83000704 is an abundant number, since it is smaller than the sum of its proper divisors (84699536).

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

83000704 is an equidigital number, since it uses as much as digits as its factorization.

83000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 83000704 is about 9110.4722160819. The cubic root of 83000704 is about 436.2083004343.

The spelling of 83000704 in words is "eighty-three million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 9133 18266 36532 73064 146128 292256 584512 648443 1169024 1296886 2593772 5187544 10375088 20750176 41500352 83000704