Search a number
-
+
8084070 = 233579379
BaseRepresentation
bin11110110101101001100110
3120012201021000
4132311221212
54032142240
6445134130
7125466501
oct36655146
916181230
108084070
114621755
12285a346
1318a0797
141106138
15a9a430
hex7b5a66

8084070 has 64 divisors (see below), whose sum is σ = 21888000. Its totient is φ = 2122848.

The previous prime is 8084033. The next prime is 8084099. The reversal of 8084070 is 704808.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21141 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 28084070 is an apocalyptic number.

8084070 is the 1422-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8084070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944000).

8084070 is an abundant number, since it is smaller than the sum of its proper divisors (13803930).

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

8084070 is a wasteful number, since it uses less digits than its factorization.

8084070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8084070 is about 2843.2499010815. The cubic root of 8084070 is about 200.6981434761.

Adding to 8084070 its reverse (704808), we get a palindrome (8788878).

The spelling of 8084070 in words is "eight million, eighty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 379 395 474 711 758 790 1137 1185 1422 1895 2133 2274 2370 3411 3555 3790 4266 5685 6822 7110 10233 10665 11370 17055 20466 21330 29941 34110 51165 59882 89823 102330 149705 179646 269469 299410 449115 538938 808407 898230 1347345 1616814 2694690 4042035 8084070