Search a number
-
+
6859308240 = 2432517691811
BaseRepresentation
bin1100110001101100…
…01011110011010000
3122201000222221222100
412120312023303100
5103021440330430
63052350440400
7331660105131
oct63066136320
918630887870
106859308240
1129aa99a894
1213b5203100
13854115a95
14490db5c88
152a22c7960
hex198d8bcd0

6859308240 has 240 divisors, whose sum is σ = 24456309696. Its totient is φ = 1716940800.

The previous prime is 6859308119. The next prime is 6859308289. The reversal of 6859308240 is 428039586.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 8457435 + ... + 8458245.

Almost surely, 26859308240 is an apocalyptic number.

6859308240 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 6859308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228154848).

6859308240 is an abundant number, since it is smaller than the sum of its proper divisors (17597001456).

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

6859308240 is a wasteful number, since it uses less digits than its factorization.

6859308240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6859308240 is about 82820.9408302031. The cubic root of 6859308240 is about 1900.0284612542.

The spelling of 6859308240 in words is "six billion, eight hundred fifty-nine million, three hundred eight thousand, two hundred forty".