Search a number
-
+
5720199408 = 24327113773191
BaseRepresentation
bin1010101001111001…
…10101000011110000
3112202122120020102100
411110330311003300
543203332340113
62343335420400
7261515615130
oct52474650360
915678506370
105720199408
1124759a3530
121137824700
137021210a1
143c39b6ac0
152372b8d73
hex154f350f0

5720199408 has 480 divisors, whose sum is σ = 20887805952. Its totient is φ = 1418342400.

The previous prime is 5720199403. The next prime is 5720199431. The reversal of 5720199408 is 8049910275.

5720199408 is a `hidden beast` number, since 57 + 2 + 0 + 199 + 408 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5720199403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29948593 + ... + 29948783.

Almost surely, 25720199408 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 5720199408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443902976).

5720199408 is an abundant number, since it is smaller than the sum of its proper divisors (15167606544).

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

5720199408 is a wasteful number, since it uses less digits than its factorization.

5720199408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5720199408 is about 75631.9998942247. Note that the first 3 decimals coincide. The cubic root of 5720199408 is about 1788.4235892645.

The spelling of 5720199408 in words is "five billion, seven hundred twenty million, one hundred ninety-nine thousand, four hundred eight".