Search a number
-
+
5307885720 = 23335233161113
BaseRepresentation
bin1001111000101111…
…11110100010011000
3111200220201112101000
410330113332202120
541332304320340
62234410225000
7245351166324
oct47427764230
914626645330
105307885720
112284188115
121041725160
1366788aaa7
14384d28984
15210ec1d30
hex13c5fe898

5307885720 has 512 divisors, whose sum is σ = 19541606400. Its totient is φ = 1277337600.

The previous prime is 5307885703. The next prime is 5307885721. The reversal of 5307885720 is 275887035.

5307885720 is a `hidden beast` number, since 5 + 3 + 0 + 78 + 8 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307885721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46972384 + ... + 46972496.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 25307885720 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 5307885720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

5307885720 is an abundant number, since it is smaller than the sum of its proper divisors (14233720680).

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

5307885720 is a wasteful number, since it uses less digits than its factorization.

5307885720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5307885720 is about 72855.2381095553. The cubic root of 5307885720 is about 1744.3776808427.

The spelling of 5307885720 in words is "five billion, three hundred seven million, eight hundred eighty-five thousand, seven hundred twenty".