Search a number
-
+
5743074960 = 243457126611
BaseRepresentation
bin1010101100101000…
…00101111010010000
3112211020121102210000
411112110011322100
543230211344320
62345514010000
7262214221530
oct52624057220
915736542700
105743074960
1124878a8247
121143416900
13706aa030c
143c6a4d4c0
152392d6c90
hex156505e90

5743074960 has 200 divisors, whose sum is σ = 22796237376. Its totient is φ = 1312692480.

The previous prime is 5743074893. The next prime is 5743074983. The reversal of 5743074960 is 694703475.

5743074960 is a `hidden beast` number, since 574 + 3 + 0 + 74 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17946 + ... + 108665.

Almost surely, 25743074960 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 5743074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398118688).

5743074960 is an abundant number, since it is smaller than the sum of its proper divisors (17053162416).

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

5743074960 is a wasteful number, since it uses less digits than its factorization.

5743074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126643 (or 126628 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5743074960 is about 75783.0783222746. The cubic root of 5743074960 is about 1790.8044364466.

The spelling of 5743074960 in words is "five billion, seven hundred forty-three million, seventy-four thousand, nine hundred sixty".