Search a number
-
+
5281068240 = 2433571931593
BaseRepresentation
bin1001110101100011…
…01011010011010000
3111122001021001201000
410322301223103100
541303423140430
62232011342000
7244604224260
oct47261532320
914561231630
105281068240
112270030808
121034751900
1366215b566
143815477a0
1520d975e60
hex13ac6b4d0

5281068240 has 640 divisors, whose sum is σ = 22627123200. Its totient is φ = 1104814080.

The previous prime is 5281068227. The next prime is 5281068277. The reversal of 5281068240 is 428601825.

5281068240 is a `hidden beast` number, since 528 + 10 + 6 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5281068195 and 5281068204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8905384 + ... + 8905976.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 25281068240 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 5281068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313561600).

5281068240 is an abundant number, since it is smaller than the sum of its proper divisors (17346054960).

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

5281068240 is a wasteful number, since it uses less digits than its factorization.

5281068240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5281068240 is about 72670.9587111660. The cubic root of 5281068240 is about 1741.4349637154.

The spelling of 5281068240 in words is "five billion, two hundred eighty-one million, sixty-eight thousand, two hundred forty".