Search a number
-
+
8018820 = 2232544549
BaseRepresentation
bin11110100101101110000100
3120002101202100
4132211232010
54023100240
6443512100
7125105325
oct36455604
916071670
108018820
114587727
122828630
131879b84
1410ca44c
15a85e30
hex7a5b84

8018820 has 36 divisors (see below), whose sum is σ = 24324300. Its totient is φ = 2138304.

The previous prime is 8018807. The next prime is 8018837. The reversal of 8018820 is 288108.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 6081156 = 1392^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22095 + ... + 22454.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 28018820 is an apocalyptic number.

It is an amenable number.

8018820 is an abundant number, since it is smaller than the sum of its proper divisors (16305480).

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

8018820 is a wasteful number, since it uses less digits than its factorization.

8018820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44564 (or 44559 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8018820 is about 2831.7521077947. The cubic root of 8018820 is about 200.1567105103.

It can be divided in two parts, 80188 and 20, that added together give a palindrome (80208).

The spelling of 8018820 in words is "eight million, eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 44549 89098 133647 178196 222745 267294 400941 445490 534588 668235 801882 890980 1336470 1603764 2004705 2672940 4009410 8018820