Search a number
-
+
5733089280 = 219375
BaseRepresentation
bin1010101011011100…
…00000000000000000
3112210112211010000000
411111232000000000
543220132324110
62344520000000
7262033312002
oct52556000000
915715733000
105733089280
1124821a7916
121140000000
137049b5129
143c55b0372
152384b31c0
hex155b80000

5733089280 has 320 divisors, whose sum is σ = 20635956000. Its totient is φ = 1528823808.

The previous prime is 5733089269. The next prime is 5733089287. The reversal of 5733089280 is 829803375.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)5.

It is a tau number, because it is divible by the number of its divisors (320).

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 (5733089287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146617854 + ... + 1146617858.

Almost surely, 25733089280 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 5733089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317978000).

5733089280 is an abundant number, since it is smaller than the sum of its proper divisors (14902866720).

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

5733089280 is an frugal number, since it uses more digits than its factorization.

5733089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5733089280 is about 75717.1663495142. The cubic root of 5733089280 is about 1789.7659234294.

The spelling of 5733089280 in words is "five billion, seven hundred thirty-three million, eighty-nine thousand, two hundred eighty".