Search a number
-
+
6780348360 = 23325194323053
BaseRepresentation
bin1100101000010001…
…11110011111001000
3122111112102101101100
412110020332133020
5102341232121420
63040450221400
7330011003322
oct62410763710
918445371340
106780348360
11296a36a095
121392884860
1384095ac66
14484700612
1529a3cc190
hex19423e7c8

6780348360 has 192 divisors, whose sum is σ = 23736398400. Its totient is φ = 1673021952.

The previous prime is 6780348359. The next prime is 6780348371. The reversal of 6780348360 is 638430876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282594 + ... + 305646.

It is an arithmetic number, because the mean of its divisors is an integer number (123627075).

Almost surely, 26780348360 is an apocalyptic number.

6780348360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780348360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868199200).

6780348360 is an abundant number, since it is smaller than the sum of its proper divisors (16956050040).

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

6780348360 is a wasteful number, since it uses less digits than its factorization.

6780348360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23132 (or 23125 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6780348360 is about 82342.8707296509. The cubic root of 6780348360 is about 1892.7096767532.

The spelling of 6780348360 in words is "six billion, seven hundred eighty million, three hundred forty-eight thousand, three hundred sixty".