Search a number
-
+
5741120430 = 235529257317
BaseRepresentation
bin1010101100011001…
…01000101110101110
3112211002221010200000
411112030220232232
543224211323210
62345404045130
7262161501303
oct52614505656
915732833600
105741120430
112486792831
1211428337a6
137065677a6
143c66a10aa
1523904cac0
hex156328bae

5741120430 has 192 divisors, whose sum is σ = 16126568640. Its totient is φ = 1467777024.

The previous prime is 5741120383. The next prime is 5741120443. The reversal of 5741120430 is 340211475.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5741120394 and 5741120403.

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 95 ways as a sum of consecutive naturals, for example, 18110632 + ... + 18110948.

It is an arithmetic number, because the mean of its divisors is an integer number (83992545).

Almost surely, 25741120430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063284320).

5741120430 is an abundant number, since it is smaller than the sum of its proper divisors (10385448210).

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

5741120430 is a wasteful number, since it uses less digits than its factorization.

5741120430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5741120430 is about 75770.1816679886. The cubic root of 5741120430 is about 1790.6012596836.

It can be divided in two parts, 57411 and 20430, that added together give a square (77841 = 2792).

The spelling of 5741120430 in words is "five billion, seven hundred forty-one million, one hundred twenty thousand, four hundred thirty".