Search a number
-
+
5705979840 = 26325112341191
BaseRepresentation
bin1010101000001101…
…00101011111000000
3112201122210210211200
411110012211133000
543141212323330
62342110541200
7261254012511
oct52406453700
915648723750
105705979840
112468971120
121132b07800
136cc1b2a42
143c1b54a08
15235e0aa60
hex1541a57c0

5705979840 has 672 divisors, whose sum is σ = 23006011392. Its totient is φ = 1284096000.

The previous prime is 5705979787. The next prime is 5705979887. The reversal of 5705979840 is 489795075.

5705979840 is a `hidden beast` number, since 5 + 7 + 0 + 597 + 9 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29874145 + ... + 29874335.

It is an arithmetic number, because the mean of its divisors is an integer number (34235136).

Almost surely, 25705979840 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 5705979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503005696).

5705979840 is an abundant number, since it is smaller than the sum of its proper divisors (17300031552).

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

5705979840 is a wasteful number, since it uses less digits than its factorization.

5705979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5705979840 is about 75537.9364293201. The cubic root of 5705979840 is about 1786.9404409557.

The spelling of 5705979840 in words is "five billion, seven hundred five million, nine hundred seventy-nine thousand, eight hundred forty".