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8085740 = 22513137227
BaseRepresentation
bin11110110110000011101100
3120012210112212
4132312003230
54032220430
6445145552
7125504405
oct36660354
916183485
108085740
114622a33
12285b2b8
1318a1480
1411069ac
15a9ab95
hex7b60ec

8085740 has 48 divisors (see below), whose sum is σ = 18500832. Its totient is φ = 2950656.

The previous prime is 8085691. The next prime is 8085743. The reversal of 8085740 is 475808.

It is a junction number, because it is equal to n+sod(n) for n = 8085697 and 8085706.

It is not an unprimeable number, because it can be changed into a prime (8085743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35507 + ... + 35733.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 28085740 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 8085740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250416).

8085740 is an abundant number, since it is smaller than the sum of its proper divisors (10415092).

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

8085740 is a wasteful number, since it uses less digits than its factorization.

8085740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8085740 is about 2843.5435639357. The cubic root of 8085740 is about 200.7119625393.

The spelling of 8085740 in words is "eight million, eighty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 227 260 274 454 548 685 908 1135 1370 1781 2270 2740 2951 3562 4540 5902 7124 8905 11804 14755 17810 29510 31099 35620 59020 62198 124396 155495 310990 404287 621980 808574 1617148 2021435 4042870 8085740