Search a number
-
+
5736160640 = 275731103401
BaseRepresentation
bin1010101011110011…
…01101110110000000
3112210202121011010002
411111321231312000
543221424120030
62345105455132
7262101363260
oct52571556600
915722534102
105736160640
112483a05431
1211410414a8
1370551c0c2
143c5b6d7a0
152388bd245
hex155e6dd80

5736160640 has 256 divisors, whose sum is σ = 16375357440. Its totient is φ = 1880064000.

The previous prime is 5736160631. The next prime is 5736160657. The reversal of 5736160640 is 460616375.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5736160594 and 5736160603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14304440 + ... + 14304840.

It is an arithmetic number, because the mean of its divisors is an integer number (63966240).

Almost surely, 25736160640 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 5736160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187678720).

5736160640 is an abundant number, since it is smaller than the sum of its proper divisors (10639196800).

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

5736160640 is a wasteful number, since it uses less digits than its factorization.

5736160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 5736160640 is about 75737.4454282688. The cubic root of 5736160640 is about 1790.0854738998.

The spelling of 5736160640 in words is "five billion, seven hundred thirty-six million, one hundred sixty thousand, six hundred forty".