[go: up one dir, main page]

Search a number
-
+
5146006320 = 2432571378541
BaseRepresentation
bin1001100101011100…
…11101001100110000
3111021122010012120200
410302232131030300
541014334200240
62210344435200
7241344221610
oct46256351460
914248105520
105146006320
112200871794
12bb7478b00
1364018ca70
1436b62aa40
15201b97930
hex132b9d330

5146006320 has 240 divisors, whose sum is σ = 21270430272. Its totient is φ = 1085736960.

The previous prime is 5146006277. The next prime is 5146006339. The reversal of 5146006320 is 236006415.

5146006320 is a `hidden beast` number, since 51 + 4 + 600 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26250 + ... + 104790.

Almost surely, 25146006320 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 5146006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635215136).

5146006320 is an abundant number, since it is smaller than the sum of its proper divisors (16124423952).

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

5146006320 is a wasteful number, since it uses less digits than its factorization.

5146006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78580 (or 78571 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5146006320 is about 71735.6697884672. The cubic root of 5146006320 is about 1726.4609979155.

The spelling of 5146006320 in words is "five billion, one hundred forty-six million, six thousand, three hundred twenty".