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2714485760 = 21057233789
BaseRepresentation
bin1010000111001011…
…1100010000000000
321000011210011102122
42201302330100000
521024402021020
61125204503412
7124160514440
oct24162742000
97004704378
102714485760
111173290368
126390aab68
133434b8cbc
141ba724120
1510d497125
hexa1cbc400

2714485760 has 352 divisors, whose sum is σ = 8064852480. Its totient is φ = 856424448.

The previous prime is 2714485757. The next prime is 2714485769. The reversal of 2714485760 is 675844172.

It is not an unprimeable number, because it can be changed into a prime (2714485769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30499796 + ... + 30499884.

Almost surely, 22714485760 is an apocalyptic number.

2714485760 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 2714485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032426240).

2714485760 is an abundant number, since it is smaller than the sum of its proper divisors (5350366720).

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

2714485760 is a wasteful number, since it uses less digits than its factorization.

2714485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 2714485760 is about 52100.7270582667. The cubic root of 2714485760 is about 1394.9624669269.

The spelling of 2714485760 in words is "two billion, seven hundred fourteen million, four hundred eighty-five thousand, seven hundred sixty".