Search a number
-
+
5753734560 = 253115729
BaseRepresentation
bin1010101101111001…
…10000010110100000
3112211222200000000000
411112330300112200
543240424001220
62350534300000
7262403636220
oct52674602640
915758600000
105753734560
112492918a32
121146ab7600
13709063182
143c8226080
1523a1e0390
hex156f305a0

5753734560 has 576 divisors, whose sum is σ = 24106118400. Its totient is φ = 1269789696.

The previous prime is 5753734523. The next prime is 5753734573. The reversal of 5753734560 is 654373575.

5753734560 is a `hidden beast` number, since 5 + 7 + 53 + 7 + 34 + 560 = 666.

It is a super-2 number, since 2×57537345602 = 66210922773876787200, which contains 22 as substring.

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

It is a zygodrome in base 3.

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, 198404626 + ... + 198404654.

It is an arithmetic number, because the mean of its divisors is an integer number (41850900).

Almost surely, 25753734560 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 5753734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053059200).

5753734560 is an abundant number, since it is smaller than the sum of its proper divisors (18352383840).

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

5753734560 is an frugal number, since it uses more digits than its factorization.

5753734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 5753734560 is about 75853.3754028125. The cubic root of 5753734560 is about 1791.9117097498.

The spelling of 5753734560 in words is "five billion, seven hundred fifty-three million, seven hundred thirty-four thousand, five hundred sixty".