Search a number
-
+
8030540 = 2257193019
BaseRepresentation
bin11110101000100101001100
3120002222211102
4132220211030
54023434130
6444042232
7125154440
oct36504514
916088742
108030540
114595511
122833378
1318822cb
1410d0820
15a89645
hex7a894c

8030540 has 48 divisors (see below), whose sum is σ = 20294400. Its totient is φ = 2607552.

The previous prime is 8030531. The next prime is 8030557. The reversal of 8030540 is 450308.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 1151 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (422800).

Almost surely, 28030540 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 8030540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147200).

8030540 is an abundant number, since it is smaller than the sum of its proper divisors (12263860).

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

8030540 is a wasteful number, since it uses less digits than its factorization.

8030540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8030540 is about 2833.8207423900. The cubic root of 8030540 is about 200.2541768338.

Adding to 8030540 its reverse (450308), we get a palindrome (8480848).

The spelling of 8030540 in words is "eight million, thirty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3019 6038 12076 15095 21133 30190 42266 57361 60380 84532 105665 114722 211330 229444 286805 401527 422660 573610 803054 1147220 1606108 2007635 4015270 8030540