Search a number
-
+
5753970640 = 24511193771131
BaseRepresentation
bin1010101101111011…
…01001111111010000
3112212000002222211201
411112331221333100
543241004030030
62350543320544
7262405641415
oct52675517720
915760088751
105753970640
112492a6a340
121146bb0154
13709116772
143c828810c
1523a23a2ca
hex156f69fd0

5753970640 has 320 divisors, whose sum is σ = 16121825280. Its totient is φ = 1886976000.

The previous prime is 5753970623. The next prime is 5753970661. The reversal of 5753970640 is 460793575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43923375 + ... + 43923505.

It is an arithmetic number, because the mean of its divisors is an integer number (50380704).

Almost surely, 25753970640 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 5753970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060912640).

5753970640 is an abundant number, since it is smaller than the sum of its proper divisors (10367854640).

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

5753970640 is a wasteful number, since it uses less digits than its factorization.

5753970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The square root of 5753970640 is about 75854.9315469996. The cubic root of 5753970640 is about 1791.9362172371.

The spelling of 5753970640 in words is "five billion, seven hundred fifty-three million, nine hundred seventy thousand, six hundred forty".