Search a number
-
+
6580923342 = 237227780809
BaseRepresentation
bin1100010000100000…
…01110101111001110
3121222122011112200120
412020100032233032
5101434204021332
63005004005410
7322036632300
oct61020165716
917878145616
106580923342
11287783a124
121337b30866
1380b5455a6
1446602b970
15287b3832c
hex18840ebce

6580923342 has 48 divisors (see below), whose sum is σ = 15366183120. Its totient is φ = 1873452672.

The previous prime is 6580923317. The next prime is 6580923343. The reversal of 6580923342 is 2433290856.

6580923342 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6580923294 and 6580923303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6580923343) 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, 41034 + ... + 121842.

It is an arithmetic number, because the mean of its divisors is an integer number (320128815).

Almost surely, 26580923342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6580923342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683091560).

6580923342 is an abundant number, since it is smaller than the sum of its proper divisors (8785259778).

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

6580923342 is a wasteful number, since it uses less digits than its factorization.

6580923342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81105 (or 81098 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 6580923342 is about 81122.8903701045. The cubic root of 6580923342 is about 1873.9684605804.

The spelling of 6580923342 in words is "six billion, five hundred eighty million, nine hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 277 294 554 831 1662 1939 3878 5817 11634 13573 27146 40719 80809 81438 161618 242427 484854 565663 1131326 1696989 3393978 3959641 7919282 11878923 22384093 23757846 44768186 67152279 134304558 156688651 313377302 470065953 940131906 1096820557 2193641114 3290461671 6580923342