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82039230 = 2355721353
BaseRepresentation
bin1001110001111…
…01000110111110
312201101000200000
410320331012332
5132000223410
612050215130
72014215300
oct470750676
9181330600
1082039230
1142344319
12235844a6
1313cc5630
14ac77970
157307dc0
hex4e3d1be

82039230 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 16982784.

The previous prime is 82039213. The next prime is 82039253. The reversal of 82039230 is 3293028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82039194 and 82039203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1547884 + ... + 1547936.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 282039230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82039230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

82039230 is an abundant number, since it is smaller than the sum of its proper divisors (200299554).

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

82039230 is a wasteful number, since it uses less digits than its factorization.

82039230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 82039230 is about 9057.5509935081. The cubic root of 82039230 is about 434.5174196486.

The spelling of 82039230 in words is "eighty-two million, thirty-nine thousand, two hundred thirty".