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83080900240 = 245132193110433
BaseRepresentation
bin100110101100000000…
…0011110111010010000
321221110001101000121021
41031120000132322100
52330122202301430
6102100012005224
76000552000022
oct1153000367220
9257401330537
1083080900240
1132264003028
1214127760814
137ab0503400
144042000012
152263be307a
hex135801ee90

83080900240 has 240 divisors, whose sum is σ = 227297594880. Its totient is φ = 28121333760.

The previous prime is 83080900223. The next prime is 83080900247. The reversal of 83080900240 is 4200908038.

It is a junction number, because it is equal to n+sod(n) for n = 83080900196 and 83080900205.

It is not an unprimeable number, because it can be changed into a prime (83080900247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7958064 + ... + 7968496.

It is an arithmetic number, because the mean of its divisors is an integer number (947073312).

Almost surely, 283080900240 is an apocalyptic number.

83080900240 is a gapful number since it is divisible by the number (80) 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 83080900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113648797440).

83080900240 is an abundant number, since it is smaller than the sum of its proper divisors (144216694640).

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

83080900240 is a wasteful number, since it uses less digits than its factorization.

83080900240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 83080900240 in words is "eighty-three billion, eighty million, nine hundred thousand, two hundred forty".