Search a number
-
+
7920468 = 2232220013
BaseRepresentation
bin11110001101101101010100
3112220101211200
4132031231110
54011423333
6441432500
7124215513
oct36155524
915811750
107920468
11451a846
12279b730
13184418a
1410a267a
15a66c13
hex78db54

7920468 has 18 divisors (see below), whose sum is σ = 20021274. Its totient is φ = 2640144.

The previous prime is 7920467. The next prime is 7920481. The reversal of 7920468 is 8640297.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 887364 = 2652^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 220013 = 7920468 / (7 + 9 + 2 + 0 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7920463) 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 5 ways as a sum of consecutive naturals, for example, 109971 + ... + 110042.

It is an arithmetic number, because the mean of its divisors is an integer number (1112293).

Almost surely, 27920468 is an apocalyptic number.

It is an amenable number.

7920468 is an abundant number, since it is smaller than the sum of its proper divisors (12100806).

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

7920468 is a wasteful number, since it uses less digits than its factorization.

7920468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220023 (or 220018 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7920468 is about 2814.3326029451. The cubic root of 7920468 is about 199.3350248238.

The spelling of 7920468 in words is "seven million, nine hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 220013 440026 660039 880052 1320078 1980117 2640156 3960234 7920468