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8045730 = 235571143
BaseRepresentation
bin11110101100010010100010
3120010202200000
4132230102202
54024430410
6444240430
7125246640
oct36542242
916122600
108045730
1145a5970
122840116
1318891b4
1410d6190
15a8ddc0
hex7ac4a2

8045730 has 192 divisors, whose sum is σ = 27675648. Its totient is φ = 1632960.

The previous prime is 8045729. The next prime is 8045747. The reversal of 8045730 is 375408.

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 = 8045694 and 8045703.

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 95 ways as a sum of consecutive naturals, for example, 187089 + ... + 187131.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

Almost surely, 28045730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824).

8045730 is an abundant number, since it is smaller than the sum of its proper divisors (19629918).

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

8045730 is a wasteful number, since it uses less digits than its factorization.

8045730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8045730 is about 2836.4996033844. The cubic root of 8045730 is about 200.3803595080.

The spelling of 8045730 in words is "eight million, forty-five thousand, seven hundred thirty".