Search a number
-
+
5721408000 = 29335371143
BaseRepresentation
bin1010101010000010…
…11100001000000000
3112202201211122022000
411111001130020000
543204140024000
62343421344000
7261532110540
oct52501341000
915681748260
105721408000
112476649570
121138108000
13702455229
143c3c0d320
15237457000
hex15505c200

5721408000 has 1280 divisors, whose sum is σ = 26963988480. Its totient is φ = 1161216000.

The previous prime is 5721407971. The next prime is 5721408001. The reversal of 5721408000 is 8041275.

5721408000 is a `hidden beast` number, since 572 + 14 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5721408001) 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, 133055979 + ... + 133056021.

It is an arithmetic number, because the mean of its divisors is an integer number (21065616).

Almost surely, 25721408000 is an apocalyptic number.

5721408000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5721408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481994240).

5721408000 is an abundant number, since it is smaller than the sum of its proper divisors (21242580480).

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

5721408000 is a wasteful number, since it uses less digits than its factorization.

5721408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5721408000 is about 75639.9894235847. The cubic root of 5721408000 is about 1788.5495360528.

Adding to 5721408000 its reverse (8041275), we get a palindrome (5729449275).

The spelling of 5721408000 in words is "five billion, seven hundred twenty-one million, four hundred eight thousand".