Search a number
-
+
5405535720 = 233251319313753
BaseRepresentation
bin1010000100011000…
…11110110111101000
3111221201110122222200
411002030132313220
542032304120340
62252215220200
7250645203234
oct50214366750
914851418880
105405535720
112324313aa2
12106a377660
13681b8aa60
14393ca75c4
15219860330
hex14231ede8

5405535720 has 768 divisors, whose sum is σ = 21511526400. Its totient is φ = 1164533760.

The previous prime is 5405535703. The next prime is 5405535721. The reversal of 5405535720 is 275355045.

5405535720 is a `hidden beast` number, since 54 + 0 + 5 + 535 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5405535721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101991214 + ... + 101991266.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 25405535720 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 5405535720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755763200).

5405535720 is an abundant number, since it is smaller than the sum of its proper divisors (16105990680).

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

5405535720 is a wasteful number, since it uses less digits than its factorization.

5405535720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 5405535720 is about 73522.3484390971. The cubic root of 5405535720 is about 1755.0099397981.

The spelling of 5405535720 in words is "five billion, four hundred five million, five hundred thirty-five thousand, seven hundred twenty".