Search a number
-
+
7130512368 = 2432717312433
BaseRepresentation
bin1101010010000001…
…01111101111110000
3200101221022120002200
412221000233233300
5104100402343433
63135315343200
7341462232540
oct65100575760
920357276080
107130512368
113029a96531
12146bbb1b00
138983709b5
144b9011320
152baee9613
hex1a902fbf0

7130512368 has 360 divisors, whose sum is σ = 25009586784. Its totient is φ = 1851310080.

The previous prime is 7130512349. The next prime is 7130512397. The reversal of 7130512368 is 8632150317.

7130512368 is a `hidden beast` number, since 7 + 130 + 512 + 3 + 6 + 8 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 16467480 + ... + 16467912.

Almost surely, 27130512368 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 7130512368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504793392).

7130512368 is an abundant number, since it is smaller than the sum of its proper divisors (17879074416).

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

7130512368 is a wasteful number, since it uses less digits than its factorization.

7130512368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7130512368 is about 84442.3612175785. The cubic root of 7130512368 is about 1924.7466799283.

The spelling of 7130512368 in words is "seven billion, one hundred thirty million, five hundred twelve thousand, three hundred sixty-eight".