Search a number
-
+
2873007280 = 24511132361179
BaseRepresentation
bin1010101100111110…
…1001110010110000
321102020001220002001
42223033221302300
521340442213110
61153030303344
7131124105343
oct25317516260
97366056061
102873007280
111244812990
126821b7b54
1336a2ac810
141d37ca45a
1511c35b63a
hexab3e9cb0

2873007280 has 320 divisors, whose sum is σ = 8369464320. Its totient is φ = 902246400.

The previous prime is 2873007223. The next prime is 2873007283. The reversal of 2873007280 is 827003782.

It is not an unprimeable number, because it can be changed into a prime (2873007283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16050231 + ... + 16050409.

It is an arithmetic number, because the mean of its divisors is an integer number (26154576).

Almost surely, 22873007280 is an apocalyptic number.

2873007280 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 2873007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184732160).

2873007280 is an abundant number, since it is smaller than the sum of its proper divisors (5496457040).

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

2873007280 is a wasteful number, since it uses less digits than its factorization.

2873007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 2873007280 is about 53600.4410429616. The cubic root of 2873007280 is about 1421.6048904810.

The spelling of 2873007280 in words is "two billion, eight hundred seventy-three million, seven thousand, two hundred eighty".