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2716370240 = 26513761961
BaseRepresentation
bin1010000111101000…
…1000010101000000
321000022022220110012
42201322020111000
521030342321430
61125313124052
7124212523523
oct24172102500
97008286405
102716370240
111174358191
12639859628
133439c898c
141baa94bba
1510d71a695
hexa1e88540

2716370240 has 56 divisors (see below), whose sum is σ = 6515676072. Its totient is φ = 1078599680.

The previous prime is 2716370221. The next prime is 2716370297. The reversal of 2716370240 is 420736172.

It can be written as a sum of positive squares in 4 ways, for example, as 817502464 + 1898867776 = 28592^2 + 43576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2716370197 and 2716370206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12860 + ... + 74820.

Almost surely, 22716370240 is an apocalyptic number.

2716370240 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 2716370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257838036).

2716370240 is an abundant number, since it is smaller than the sum of its proper divisors (3799305832).

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

2716370240 is a wasteful number, since it uses less digits than its factorization.

2716370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62115 (or 62105 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2716370240 is about 52118.8088889222. The cubic root of 2716370240 is about 1395.2852009559.

The spelling of 2716370240 in words is "two billion, seven hundred sixteen million, three hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 2192 2740 4384 5480 8768 10960 21920 43840 61961 123922 247844 309805 495688 619610 991376 1239220 1982752 2478440 3965504 4956880 8488657 9913760 16977314 19827520 33954628 42443285 67909256 84886570 135818512 169773140 271637024 339546280 543274048 679092560 1358185120 2716370240