Search a number
-
+
8120328 = 233338347
BaseRepresentation
bin11110111110100000001000
3120021112222220
4132332200020
54034322303
6450014040
7126010266
oct36764010
916245886
108120328
114646a17
122877320
1318b4138
141115436
15aa6053
hex7be808

8120328 has 16 divisors (see below), whose sum is σ = 20300880. Its totient is φ = 2706768.

The previous prime is 8120317. The next prime is 8120363. The reversal of 8120328 is 8230218.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 338347 = 8120328 / (8 + 1 + 2 + 0 + 3 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 8120298 and 8120307.

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 3 ways as a sum of consecutive naturals, for example, 169150 + ... + 169197.

It is an arithmetic number, because the mean of its divisors is an integer number (1268805).

Almost surely, 28120328 is an apocalyptic number.

It is an amenable number.

8120328 is an abundant number, since it is smaller than the sum of its proper divisors (12180552).

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

8120328 is a wasteful number, since it uses less digits than its factorization.

8120328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338356 (or 338352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8120328 is about 2849.6189218911. The cubic root of 8120328 is about 200.9977475553.

It can be divided in two parts, 8120 and 328, that added together give a palindrome (8448).

The spelling of 8120328 in words is "eight million, one hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 338347 676694 1015041 1353388 2030082 2706776 4060164 8120328