Search a number
-
+
280530432000 = 2123353713223
BaseRepresentation
bin1000001010100001110…
…10101011000000000000
3222211002122111111102000
410011100322223000000
514044011242311000
6332512432424000
726160543220410
oct4052072530000
9884078444360
10280530432000
11a8a7712a735
12464510a8000
13205b9302880
14d813494640
15746d2bd000
hex4150eab000

280530432000 has 1664 divisors, whose sum is σ = 1282293841920. Its totient is φ = 58923417600.

The previous prime is 280530431999. The next prime is 280530432011. The reversal of 280530432000 is 234035082.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257983889 + ... + 1257984111.

It is an arithmetic number, because the mean of its divisors is an integer number (770609280).

Almost surely, 2280530432000 is an apocalyptic number.

280530432000 is a gapful number since it is divisible by the number (20) 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 280530432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641146920960).

280530432000 is an abundant number, since it is smaller than the sum of its proper divisors (1001763409920).

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

280530432000 is a wasteful number, since it uses less digits than its factorization.

280530432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 280530432000 its reverse (234035082), we get a palindrome (280764467082).

The spelling of 280530432000 in words is "two hundred eighty billion, five hundred thirty million, four hundred thirty-two thousand".