Search a number
-
+
2721030480 = 2432571992713
BaseRepresentation
bin1010001000101111…
…1010000101010000
321000122002200002200
42202023322011100
521033040433410
61130001043200
7124300243320
oct24213720520
97018080080
102721030480
111176a50523
1263b326500
1334496ac0c
141bb549280
1510dd3b3c0
hexa22fa150

2721030480 has 240 divisors, whose sum is σ = 10499923200. Its totient is φ = 618596352.

The previous prime is 2721030467. The next prime is 2721030511. The reversal of 2721030480 is 840301272.

2721030480 is a `hidden beast` number, since 272 + 10 + 304 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001604 + ... + 1004316.

It is an arithmetic number, because the mean of its divisors is an integer number (43749680).

Almost surely, 22721030480 is an apocalyptic number.

2721030480 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 2721030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249961600).

2721030480 is an abundant number, since it is smaller than the sum of its proper divisors (7778892720).

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

2721030480 is a wasteful number, since it uses less digits than its factorization.

2721030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2721030480 is about 52163.4975821215. The cubic root of 2721030480 is about 1396.0826682079.

The spelling of 2721030480 in words is "two billion, seven hundred twenty-one million, thirty thousand, four hundred eighty".