Search a number
-
+
620191040 = 26572371069
BaseRepresentation
bin100100111101110…
…101110101000000
31121012222222011112
4210331311311000
52232232103130
6141312502452
721240352100
oct4475656500
91535888145
10620191040
11299099787
1215384aa28
139b647c61
145c521200
15396aa495
hex24f75d40

620191040 has 168 divisors, whose sum is σ = 1766026440. Its totient is φ = 206696448.

The previous prime is 620191007. The next prime is 620191043. The reversal of 620191040 is 40191026.

It is a happy number.

620191040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 160174336 + 460016704 = 12656^2 + 21448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 620190997 and 620191015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620191043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579626 + ... + 580694.

Almost surely, 2620191040 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 620191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883013220).

620191040 is an abundant number, since it is smaller than the sum of its proper divisors (1145835400).

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

620191040 is a wasteful number, since it uses less digits than its factorization.

620191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 620191040 is about 24903.6350760286. The cubic root of 620191040 is about 852.7894700712.

The spelling of 620191040 in words is "six hundred twenty million, one hundred ninety-one thousand, forty".